Wed·Apr 25, 2018Wednesday·April 25, 2018

1. 01*

   Supersymmetry at a 28 TeV hadron collider: HE-LHC

   Amin Aboubrahim🇺🇸 · Pran Nath🇺🇸

   The discovery of the Higgs boson at $\sim 125$ GeV indicates that the scale of weak scale supersymmetry is higher than what was perceived in the pre-Higgs boson discovery era and lies in the several TeV region. This makes the discovery of supersymmetry more challenging and argues for hadron colliders beyond LHC at $\sqrt{s}=14$ TeV. The Future Circular Collider (FCC) study at CERN is considering a 100 TeV collider to be installed in a 100 km tunnel in the Lake Geneva basin. Another 100 km collider being considered in China is the Super proton-proton Collider (SppC). A third possibility recently proposed is the High-Energy LHC (HE-LHC) which would use the existing CERN tunnel but achieve a center-of-mass energy of 28 TeV by using FCC magnet technology at significantly higher luminosity than at the High Luminosity LHC (HL-LHC). In this work we investigate the potential of HE-LHC for the discovery of supersymmetry. We study a class of supergravity unified models under the Higgs boson mass and the dark matter relic density constraints and compare the analysis with the potential reach of the HL-LHC. A set of benchmarks are presented which are beyond the discovery potential of HL-LHC but are discoverable at HE-LHC. For comparison, we study model points at HE-LHC which are also discoverable at HL-LHC. For these model points, it is found that their discovery would require a HL-LHC run between 5-8 years while the same parameter points can be discovered in a period of few weeks to $\sim 1.5$ yr at HE-LHC running at its optimal luminosity of $2.5\times 10^{35}$ cm${}^{-2}$ s${}^{-1}$. The analysis indicates that the HE-LHC possibility should be seriously pursued as it would significantly increase the discovery reach for supersymmetry beyond that of HL-LHC and decrease the run period for discovery.

   hep-phhep-exPRD(2018)·27 citations
2. 02*

   Low energy constituent quark and pion effective couplings to external electromagnetic field and a weak magnetic field

   Fábio L. Braghin🇧🇷

   In this work, a compilation of effective electromagnetic field couplings to pions and constituent quarks and their effective interactions derived previously, including corrections to the NJL model, is presented. The particular case of a weak external magnetic field along the $\hat{z}$ direction is considered shortly and effective coupling constants are redefined to incorporate the weak-$B_0$ dependence. They correspond to corrections to well known pion-constituent quark couplings and to the NJL and vector NJL effective couplings that break isospin and chiral symmetries.

   hep-ph0 citations
3. 03*

   Precision Measurement with Diboson at the LHC

   Da Liu🇺🇸 · Lian-Tao Wang🇺🇸

   Precision measurements at the LHC can provide probes of new physics, and they are complementary to direct searches. The high energy distribution of di-boson processes ($WW,WZ,Vh$) is a promising place, with the possibility of significant improvement in sensitivity as the data accumulates. We focus on the semi-leptonic final states, and make projections of the reach for future runs of the LHC with integrated luminosities of 300 fb${}^{-1}$ and 3 ab${}^{-1}$. We emphasize the importance of tagging the polarization of the vector bosons, in particular for the $WW$ and $WZ$ channels. We employ a combination of kinematical distributions of both the $W$ and $Z$, and their decay products to select the longitudinally polarized $W$ and $Z$. We have also included our projections for the reach using the associated production of vector boson and the Higgs. We demonstrate that di-boson measurement in the semi-leptonic channel can surpass the sensitivity of the precision measurement at LEP, and they can be significantly more sensitive than the HL-LHC $h\to Z\gamma$ measurements. Compared with fully leptonic decaying $WZ$ channel, the reach from semi-leptonic channel can be better with effective suppression of the reducible background and systematic error. We have also considered the reaches on the new physics mass scale in different new physics scenarios, including the Strongly Interacting-Light Higgs (SILH), the Strongly Coupled Multi-pole Interaction (Remedios), and the class of models with partially composite fermions. We find that in the SILH and non-compact Remedios scenario with large coupling $g_{\ast }>7$, measurements in the di-boson channel is more sensitive than the Drell-Yan di-lepton channel at the HL-LHC.

   hep-phPRD(2019)·64 citations
4. 04*

   B-L Model with ${\mathbf{S}}_3$ Symmetry: Nearest Neighbor Interaction Textures and Broken $\mu \leftrightarrow \tau$ Symmetry

   Juan Carlos Gómez-Izquierdo🇲🇽 · Myriam Mondragón🇲🇽

   We make a scalar extension of the B-L gauge model where the ${\mathbf{S}}_3$ non-abelian discrete group drives mainly the Yukawa sector. Motived by the large and small hierarchies among the quark and active neutrino masses respectively, the quark and lepton families are not treated on the same footing under the assignment of the discrete group. As a consequence, the Nearest Neighbor Interactions (NNI) textures appear in the quark sector, leading to the CKM mixing matrix, whereas in the lepton sector, a soft breaking of the $\mu \leftrightarrow \tau$ symmetry in the effective neutrino mass that comes from type I see-saw mechanism, provides a non-maximal atmospheric angle and a non-zero reactor angle.

   hep-phEPJC(2019)·38 citations
5. 05*

   Interpretations of galactic center gamma-ray excess confronting the PandaX-II constraints on dark matter-neutron spin-dependent scatterings in the NMSSM

   Liangliang Shang🇨🇳 · Yangle He🇨🇳 · Jingwei Lian🇨🇳 · Yusi Pan🇨🇳

   The Weakly Interacting Massive Particle (WIMP) has been one of the most attractive candidates for Dark Matter (DM), and the lightest neutralino (${\tilde{\chi }}_1^0$) in the Next-to-Minimal Supersymmetric Standard Model (NMSSM) is an interesting realization of WIMP. The Galactic Center Excess (GCE) can be explained by WIMP DM annihilations in the sky. In this work we consider the $Z_3$-NMSSM where the singlet $S$ and Singlino ${\tilde{S}}^0$ components play important roles in the Higgs and DM sector. Guided by our analytical arguments, we perform a numerical scan over the NMSSM parameter space for the GCE explanation by considering various observables such as the Standard Model (SM) Higgs data measured by the ATLAS and CMS experiments, and the $B$-physics observables $BR(B_s\to X_s\gamma )$ and $BR(B_s\to {\mu }^{+}{\mu }^{-})$. We find that the correlation between the coupling $C_{A_{1}b\bar{b}}$ in $⟨{\sigma }_{b\bar{b}}v{⟩}_0$ and the coupling $C_{Z{\tilde{\chi }}_1^0{\tilde{\chi }}_1^0}$ in DM-neutron Spin Dependent (SD) scattering rate ${\sigma }_{{\tilde{\chi }}_1^0-N}^{SD}$ makes all samples we obtain for GCE explanation get excluded by the PandaX-II results. Although the DM resonant annihilation scenarios may be beyond the reach of our analytical approximations and scan strategy, the aforementioned correlation can be a reasonable motivation for future experiments such as PandaX-nT to further test the NMSSM interpretation of GCE.

   hep-phastro-ph.HEEPJC(2018)·5 citations
6. 06*

   Decays and spectrum of bottom and bottom strange mesons

   Ishrat Asghar🇵🇰 · Bilal Masud🇵🇰 · E.S. Swanson🇺🇸 · Faisal Akram🇵🇰 · M. Atif Sultan🇵🇰

   The strong decay amplitudes and radiative partial widths of orbital and radially excited states of $B$ and $B_s$ mesons are presented. These results are obtained with a nonrelativistic potential quark model, the nonrelativistic reduction of the electromagnetic transition operator, and the "${}^3{P}_0$" model of strong decays. The predictions are compared to experiment where possible and assignments for the recently discovered states, $B_1(5721)$, $B_2^{\ast }(5747)$, $B_J(5840)$, $B_J(5970)$, $B_{s1}(5830)$, and $B_{s2}^{\ast }(5840)$, are made.

   hep-phEPJA(2018)·31 citations
7. 07*

   Left-right symmetry, orbifold $S^1/Z_2$, and radiative breaking of $U(1{)}_{\mathrm{R}}\times U(1{)}_{\mathrm{B}-\mathrm{L}}$

   Yugo Abe🇯🇵 · Yuhei Goto🇯🇵 · Yoshiharu Kawamura🇯🇵

   We study the origin of electroweak symmetry under the assumption that $SU(4{)}_{\mathrm{C}}\times SU(2{)}_{\mathrm{L}}\times SU(2{)}_{\mathrm{R}}$ is realized on a five-dimensional space-time. The Pati-Salam type gauge symmetry is reduced to $SU(3{)}_{\mathrm{C}}\times SU(2{)}_{\mathrm{L}}\times U(1{)}_{\mathrm{R}}\times U(1{)}_{\mathrm{B}-\mathrm{L}}$ by orbifold breaking mechanism on the orbifold $S^1/Z_2$. The breakdown of residual gauge symmetries occurs radiatively via the Coleman-Weinberg mechanism, such that the $U(1{)}_{\mathrm{R}}\times U(1{)}_{\mathrm{B}-\mathrm{L}}$ symmetry is broken down to $U(1{)}_{\mathrm{Y}}$ by the vacuum expectation value of an $SU(2{)}_{\mathrm{L}}$ singlet scalar field and the $SU(2{)}_{\mathrm{L}}\times U(1{)}_{\mathrm{Y}}$ symmetry is broken down to the electric one $U(1{)}_{\mathrm{EM}}$ by the vacuum expectation value of an $SU(2{)}_{\mathrm{L}}$ doublet scalar field regarded as the Higgs doublet. The negative Higgs squared mass term is originated from an interaction between the Higgs doublet and an $SU(2{)}_{\mathrm{L}}$ singlet scalar field as a Higgs portal. The vacuum stability is recovered due to the contributions from Kaluza-Klein modes of gauge bosons.

   hep-phhep-thPTEP(2018)·1 citation
8. 08*

   Mixing among lowest-lying scalar mesons and scalar glueball

   Hajar Noshad🇮🇷 · S. Mohammad Zebarjad🇮🇷 · Soodeh Zarepour🇮🇷

   Scalar glueball is implemented in single nonet linear sigma model (SNLSM) which basically includes lowest lying scalar and pseudoscalar mesons. Our new version of SNLSM involves mixing among scalar matter fields and glueball field which is enforced by scale symmetry considerations and the associated anomaly. Performing iterative Monte Carlo simulations, it is found that among the three candidates of scalar glueball, i.e., $f_0(1370)$, $f_0(1500)$ and $f_0(1710)$, only $f_0(1500)$ is predominately a glueball state with the mass prediction of $1.566\pm 0.046$ GeV and the other two are predominately quarkonium. The $\pi \pi$, $\pi K$ and $\pi \eta$ scatterings are reinvestigated in the presence of scalar glueball and it is found that the overall behavior of the real part of the K-matrix unitarized $\pi \pi$ scattering amplitude is more compatible with observed data compared with the case of SNLSM without glueball. We have also presented the predictions of the model for the masses and decay widths of the scalars obtained from the poles of the K-matrix unitarized $\pi \pi$, $\pi K$ and $\pi \eta$ scattering amplitudes. Moreover the $\pi \pi$ scattering phase shift predicted by our model is compared with the prediction of generalized linear sigma model (GLSM) which contains two nonets of scalar mesons and two nonets of pseudoscalar mesons (a quark-antiquark nonet and a four-quark nonet). Despite the fact that at this stage our model lacks the second meson nonet above $1$ GeV, its prediction for the $\pi \pi$ scattering phase shift is close to the prediction of GLSM for $\sqrt{s}<1.1$ GeV and in better agreement with experimental data for $\sqrt{s}>1.1$ GeV in comparison with GLSM.

   hep-phNPB(2018)·10 citations
9. 09*

   Field Correlator Method for the confinement in QCD

   Yu.A.Simonov🇷🇺

   The theory of confinement based on the stochastic field mechanism, known as the Field Corrleator Method (FCM) is discussed in detail. Experimental and lattice data have accumulated a vast amount of material on the properties of confinement in QCD. We enumerateall these properties as 1)-7), and discuss beyond FCM two existing approaches: monopole based Dual Ginzburg-Landau (DGL) theory,and Gribov-Zwanziger model, from this point of view. It is shown that the FCM satisfies all required criteria. We also prove its selfconsistency; in particular, it is shown that the string tension {\sigma} is the only scaleful parameter in the theory beyond fermion masses, and {\Lambda}_QCD is calculated explicitly to the lowest order in terms of {\sigma}. We also formulate physical consequences of confinement, such as string breaking,Regge trajectories, role of confinement in the perturbation theory, chiral symmetry breaking, confinement in the boosted systems etc. It is demonstrated that the FCM is a suitable tool for the solution of these problems.

   hep-phhep-lathep-thPRD(2019)·36 citations
10. 10*

    Parity Doubling as a Tool for Right-handed Current Searches

    James Gratrex🇬🇧 · Roman Zwicky🇬🇧

    The V-A structure of the weak interactions leads to definite amplitude hierarchies in exclusive heavy-to-light decays mediated by $b\to (d,s)\gamma$ and $b\to (d,s)\ell \bar{\ell }$. However, the extraction of right-handed currents beyond the Standard Model is contaminated by V-A long-distance contributions leaking into right-handed amplitudes. We propose that these quantum-number changing long-distance contributions can be controlled by considering the almost parity-degenerate vector meson final states by exploiting the opposite relative sign of left- versus right-handed amplitudes. For example, measuring the time-dependent rates of a pair of vector $V(J^P=1^{-})$ and axial $A(1^{+})$ mesons in $B\to (V,A)\gamma$, up to an order of magnitude is gained on the theory uncertainty prediction, controlled by long-distance ratios to the right-handed amplitude. This renders these decays clean probes to null tests, from the theory side.

    hep-phhep-exhep-latJHEP(2018)·14 citations
11. 11*

    Decays into {\pi}+{\pi}- of the f0(1370) scalar glueball candidate in pp central exclusive production experiments

    Ugo Gastaldi🇮🇹 · Mirko Berretti🇫🇮

    The existence and properties of the f0(1370) scalar meson are rather well established from data of antiproton annihilations at rest. However conflicting results from Central Exclusive Production (CEP) experiments of the last millennium and ignorance of data from antiproton annihilations at rest in H2 and D2 bubble chambers have generated doubts on the very existence of the f0(1370). Properties of {\pi}+{\pi}- pairs produced in central exclusive production (CEP) reactions observed in old data together with data collected in the current decade at high energy colliders permit to show that {\pi}+{\pi}- decays of the f0(1370) meson are directly observable as an isolated peak between 1.1 and 1.6 GeV. Consequences of this observation and prospects for the identification of the scalar glueball ground-state are discussed.

    hep-ph6 citations
12. 12*

    Precise determination of ${\alpha }_S(M_Z)$ from a global fit of energy-energy correlation to NNLO+NNLL predictions

    Adam Kardos🇭🇺 · Stefan Kluth🇩🇪 · Gabor Somogyi🇭🇺 · Zoltan Tulipant🇭🇺 · Andrii Verbytskyi🇩🇪

    We present a comparison of the computation of energy-energy correlation in $e^{+}{e}^{-}$ collisions in the back-to-back region at next-to-next-to-leading logarithmic accuracy matched with the next-to-next-to-leading order perturbative prediction to LEP, PEP, PETRA, SLC and TRISTAN data. With these predictions we perform an extraction of the strong coupling constant taking into account non-perturbative effects modelled with Monte Carlo event generators. The final result at NNLO+NNLL precision is ${\alpha }_S(M_Z)=0.11750\pm 0.00018\text{(}exp.)\pm 0.00102\text{(}hadr.)\pm 0.00257\text{(}ren.)\pm 0.00078\text{(}res.)$.

    hep-phEPJC(2018)·83 citations
13. 13*

    Natural and Dynamical Neutrino Mass Mechanism at the LHC

    Julia Gehrlein🇪🇸 · Dorival Gonçalves🇺🇸 · Pedro A. N. Machado🇺🇸 · Yuber F. Perez-Gonzalez🇧🇷

    We generalize the scalar triplet neutrino mass model, the type II seesaw. Requiring fine-tuning and arbitrarily small parameters to be absent leads to dynamical lepton number breaking at the electroweak scale and a rich LHC phenomenology. A smoking gun signature at the LHC that allows to distinguish our model from the usual type II seesaw scenario is identified. Besides, we discuss other interesting phenomenological aspects of the model such as the presence of a massless Goldstone boson and deviations of standard model Higgs couplings

    hep-phPRD(2018)·3 citations
14. 14*

    Bounds on Amplitudes in Effective Theories with Massive Spinning Particles

    James Bonifacio🇺🇸 · Kurt Hinterbichler🇺🇸

    We consider a procedure for directly constructing general tree-level four-particle scattering amplitudes of massive spinning particles that are consistent with the usual requirements of Lorentz invariance, unitarity, crossing symmetry, and locality. There are infinitely many such amplitudes, but we can isolate interesting theories by bounding the high-energy growth of the tree amplitudes within the effective field theory. This allows us to set model-independent lower bounds on the growth of tree-level amplitudes in any effective field theory with a given particle content and any interaction terms with an arbitrary but finite number of derivatives. In certain common cases this corresponds to finding the highest possible strong coupling scale. When applied to spin 2, we show that the only amplitudes that saturate this bound are generated by the known ghost-free theories of a massive spin-2 particle, namely dRGT massive gravity and the pseudolinear theory. We also make a conjecture for the allowed growth of tree amplitudes in a theory with a single massive particle of any integer spin.

    ↳ hep-thhep-phPRD(2018)·79 citations
15. 15*

    Shielding of an external oscillating electric field inside atoms

    V.V. Flambaum🇦🇺

    According to the Schiff theorem an external electric field vanishes at atomic nucleus in a neutral atom, i.e. it is completely shielded by electrons. This makes a nuclear electric dipole moment (EDM) unobservable. In this paper an extension of the Schiff theorem to an oscillating electric field is considered. Such field can reach the nucleus and interact with the nuclear EDM. The enhancement effect appears if the field is in resonance with atomic or molecular transition. The shielding by electrons strongly affects low-energy nuclear electric dipole transition amplitudes in different nuclear reactions including radiative transitions, radiative nucleon capture, photo or electro-excitation of nuclei and laser-induced or laser-enhanced nuclear reactions.

    ↳ physics.atom-phhep-phnucl-thPRA(2018)·9 citations
16. 16*

    Nuclear interactions and net-proton number fluctuations in heavy ion collisions at the SIS18 accelerator

    Jan Steinheimer🇩🇪 · Yongjia Wang🇨🇳 · Ayon Mukherjee🇩🇪 · Yunxiao Ye🇨🇳 · Chenchen Guo🇨🇳 · Qingfeng Li🇨🇳 · Horst Stoecker🇩🇪

    The effect of nuclear interactions on measurable net-proton number fluctuations in heavy ion collisions at the SIS18/GSI accelerator is investigated. The state of the art UrQMD model including interaction potentials is employed. It is found that the nuclear forces enhance the baryon number cumulants, as predicted from grand canonical thermodynamical models. The effect however is smeared out for proton number fluctuations due to iso-spin randomization and global baryon number conservation, which decreases the cumulant ratios. For a rapidity acceptance window larger than $\Delta y>0.4$ the effects of global baryon number conservation dominate and all cumulant ratios are significantly smaller than 1.

    ↳ nucl-thhep-phPLB(2018)·14 citations
17. 17*

    Neutral-current neutrino-nucleus scattering off Xe isotopes

    Pekka Pirinen🇫🇮 · Jouni Suhonen🇫🇮 · Emanuel Ydrefors🇧🇷

    Large liquid xenon detectors aiming for dark matter direct detection will soon become viable tools also for investigating neutrino physics. Information on the effects of nuclear structure in neutrino-nucleus scattering can be important in distinguishing neutrino backgrounds in such detectors. We perform calculations for differential and total cross sections of neutral-current neutrino scattering off the most abundant xenon isotopes. The nuclear structure calculations are made in the nuclear shell model for elastic scattering, and also in the quasiparticle random-phase approximation (QRPA) and microscopic quasiparticle phonon model (MQPM) for both elastic and inelastic scattering. Using suitable neutrino energy distributions, we compute estimates of total averaged cross sections for 8B solar neutrinos and supernova neutrinos.

    ↳ nucl-thhep-phAdv.High Energy Phys.(2018)·22 citations
18. 18*

    Magnetic field effect on nuclear matter from skyrmion crystal model

    Mamiya Kawaguchi🇯🇵 · Yong-Liang Ma🇨🇳 · Shinya Matsuzaki🇨🇳

    We explore magnetic field effects on the nuclear matter based on the skrymion crystal approach for the first time. It is found that the magnetic effect plays the role of a catalyzer for the topological phase transition (topological deformation for the skyrmion crystal configuration from the skrymion phase to half-skyrmion phase). Furthermore, we observe that in the presence of the magnetic field, the inhomogeneous chiral condensate persists both in the skyrmion and half-skyrmion phases. Explicitly, as the strength of magnetic field gets larger, the inhomogeneous chiral condensate in the skyrmion phase tends to be drastically localized, while in the half-skyrmion phase the inhomogeneity configuration is hardly affected. It also turns out that a large magnetic effect in a low density region distorts the baryon shape to an elliptic form but the crystal structure is intact. However, in a high density region, the crystal structure is strongly effected by the strong magnetic field. A possible correlation between the chiral inhomogeneity and the deformation of the skrymion configuration is also addressed. The results obtained in this paper might be realized in the deep interior of compact stars.

    ↳ nucl-thhep-phPRC(2018)·3 citations
19. 19*

    Structure formation beyond shell-crossing: nonperturbative expansions and late-time attractors

    Massimo Pietroni🇮🇹

    Structure formation in 1+1 dimensions is considered, with emphasis on the effects of shell-crossing. The breakdown of the perturbative expansion beyond shell-crossing is discussed, and it is shown, in a simple example, that the perturbative series can be extended to a transseries including nonperturbative terms. The latter converges to the exact result well beyond the range of validity of perturbation theory. The crucial role of the divergences induced by shell-crossing is discussed. They provide constraints on the structure of the transseries and act as a bridge between the perturbative and the nonperturbative sectors. Then, we show that the dynamics in the deep multistreaming regime is governed by attractors. In the case of simple initial conditions, these attractors coincide with the asymptotic configurations of the adhesion model, but in general they may differ. These results are applied to a cosmological setting, and an algorithm to build the attractor solution starting from the Zel'dovich approximation is developed. Finally, this algorithm is applied to the search of `haloes' and the results are compared with those obtained from the exact dynamical equations.

    ↳ astro-ph.COhep-phhep-thJCAP(2018)·34 citations
20. 20*

    Evaluation of low-$Q^2$ fits to $ep$ and $ed$ elastic scattering data

    Timothy B. Hayward🇺🇸 · Keith A. Griffioen🇺🇸

    We examined several low-$Q^2$ elastic $ep$ and $ed$ scattering data sets using various models to extract the proton and deuteron rms radii and developed a comprehensive algorithm for estimating the systematic bias of each extracted radius. In each case, we chose the model and upper bound for $Q^2$ that minimized the combination of statistical uncertainty and bias. We attribute the discrepancy between small ($\approx 0.84$~fm) and large ($\approx 0.88$~fm) proton radius extractions to the absence of data that can accurately isolate the linear and quadratic contributions to the form factor at low-$Q^2$. In light of this ambiguity, we estimated the asymmetric model-dependence of each extracted radius by studying the distribution of many possible fits. The resulting radii are 0.842(4)~fm for the proton and 2.092(19)~fm for the deuteron. These values are consistent with those determined from muonic hydrogen measurements within 0.3$\sigma$ for the proton and 1.8$\sigma$ for the deuteron.

    ↳ nucl-exhep-phNPA(2020)·22 citations
21. 21*

    Quantized Kähler Geometry and Quantum Gravity

    Jungjai Lee🇰🇷 · Hyun Seok Yang🇰🇷

    It has been often observed that Kähler geometry is essentially a $U(1)$ gauge theory whose field strength is identified with the Kähler form. However it has been pursued neither seriously nor deeply. We argue that this remarkable connection between the Kähler geometry and $U(1)$ gauge theory is a missing corner in our understanding of quantum gravity. We show that the Kähler geometry can be described by a $U(1)$ gauge theory on a symplectic manifold with a slight generalization. We derive a natural Poisson algebra associated with the Kähler geometry we have started with. The quantization of the underlying Poisson algebra leads to a noncommutative $U(1)$ gauge theory which arguably describes a quantized Kähler geometry. The Hilbert space representation of quantized Kähler geometry eventually ends in a zero-dimensional matrix model. We then play with the zero-dimensional matrix model to examine how to recover our starting point--Kähler geometry--from the background-independent formulation. The round-trip journey suggests many remarkable pictures for quantum gravity that will open a new perspective to resolve the notorious problems in theoretical physics such as the cosmological constant problem, hierarchy problem, dark energy, dark matter and cosmic inflation. We also discuss how time emerges to generate a Lorentzian spacetime in the context of emergent gravity.

    ↳ hep-thgr-qchep-phmath-ph+1J.Korean Phys.Soc.(2018)·7 citations
22. 22*

    Kinetic theory for classical and quantum many-body chaos

    Sašo Grozdanov🇺🇸 · Koenraad Schalm🇳🇱 · Vincenzo Scopelliti🇳🇱

    For perturbative scalar field theories, the late-time-limit of the out-of-time-ordered correlation function that measures (quantum) chaos is shown to be equal to a Boltzmann-type kinetic equation that measures the total gross (instead of net) particle exchange between phase space cells, weighted by a function of energy. This derivation gives a concrete form to numerous attempts to derive chaotic many-body dynamics from ad hoc kinetic equations. A period of exponential growth in the total gross exchange determines the Lyapunov exponent of the chaotic system. Physically, the exponential growth is a front propagating into an unstable state in phase space. As in conventional Boltzmann transport, which follows from the dynamics of the net particle number density exchange, the kernel of this kinetic integral equation is also set by the 2-to-2 scattering rate. This provides a mathematically precise statement of the known fact that in dilute weakly coupled gases transport and scrambling (or ergodicity) are controlled by the same physics.

    ↳ hep-thcond-mat.stat-mechhep-phnlin.CD+1PRE(2019)·42 citations

* Reconstructed cohort: no mailing for this day survives in the archive. Papers are grouped by their submission times and arXiv's announcement cut-off, assuming announcement without delay; positions follow identifier order. Validated at ~91% exact-day agreement against the archived era.