Nuclear Theory·nucl-th

Friday·May 22, 2020

9 papers—4 primary·5 cross-listed

05
[Submitted on 20 May 2020] (cross-list from hep-ph)
How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
Robert D. Pisarski🇺🇸 · Alexei M. Tsvelik🇺🇸 · Semeon Valgushev🇺🇸
For a scalar theory with a global $O (N)$ symmetry, when $N = 2$ a spatially inhomogeneous condensate arises when the term in the Lagrangian with two spatial derivatives has a negative coefficient. If the condensate for such a chiral spiral includes only one mode, characterized by a momentum $k_{0} z^$ , then in perturbation theory at nonzero temperature the propagator for the static mode has a double pole when $k^{2} = k_{0}^{2}$ . We conjecture that since chiral spirals spontaneously break both global and spacetime symmetries, that such double poles are a universal property of their static transverse modes. Fluctuations from double poles generate linear infrared divergences in any number of spatial dimensions and disorder the condensate of chiral spirals, analogous to a type of quantum spin liquid. The characteristic feature of this region is that over large spatial distances the two point function is the usual exponential times an oscillatory function. We prove this at large $N$ and suggest this occurs for all $N > 2$ . Implications for four-fermion models and the phase diagram of QCD are discussed.
Comments:
v2: added a discussion of previous work by Kleinert, ref. 10
Subjects:
High Energy Physics — Phenomenology (hep-ph); Statistical Mechanics (cond-mat.stat-mech); Nuclear Theory (nucl-th)
arXiv:
2005.10259 [pdf]
PRD(2020)·53 citations
06
[Submitted on 21 May 2020] (cross-list from hep-ph)
Recent developments in chiral and spin polarization effects in heavy-ion collisions
Jian-Hua Gao🇨🇳 · Guo-Liang Ma🇨🇳 · Shi Pu🇨🇳 · Qun Wang🇨🇳
We give a brief overview of recent theoretical and experimental results on the chiral magnetic effect and spin polarization effect in heavy-ion collisions. We present updated experimental results for the chiral magnetic effect and related phenomena. The time evolution of the magnetic fields in different models is discussed. The newly developed quantum kinetic theory for massive fermions is reviewed. We present theoretical and experimental results for the polarization of $Λ$ hyperons and the $ρ_{00}$ value of vector mesons.
Comments:
22 pages, 9 figures. A review article for Nucl. Sci. Tech; more references are added
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Experiment (nucl-ex); Nuclear Theory (nucl-th)
arXiv:
2005.10432 [pdf]
Nucl.Sci.Tech.(2020)·132 citations
07
[Submitted on 21 May 2020] (cross-list from hep-ph)
Analytic model studies of polarized baryon production
B. Boldizsár🇭🇺
We investigate known exact solutions of hydrodynamics and derive analytic formulas for the polarization of baryons produced at freeze-out. Such polarization (observed in high energy heavy-ion experiments) carries information on the time evolution of the quark-gluon plasma (sQGP), and our results give first analytic insight into the connection between this type of measurements and dynamical properties of the sQGP (e.g. vorticity). We present results for a rotating and acceleratingly expanding solution and also give hints on how to calculate the polarization using a rotating extension of the Buda--Lund parameterization.
Comments:
5 pages, 2 figures, 19th Workshop on Particle Correlations and Femtoscopy (WPCF 2019) conference
Subjects:
High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
arXiv:
2005.10514 [pdf]
Phys.Part.Nucl.(2020)·0 citations
08
[Submitted on 21 May 2020] (cross-list from hep-ph)
Fluctuations of conserved charges, chiral spin symmetry and deconfinement in an SU(2)_color subgroup of SU(3)_color above T_c
L. Ya. Glozman🇦🇹
Above a pseudocritical temperature of chiral symmetry restoration T_c the energy and the pressure are very far from the quark-gluon-plasma limit (i.e. ideal gas of free quarks and gluons). At the same time very soon above T_c fluctuations of conserved charges behave as if quarks were free particles. Within the T_c - 3T_c interval a chiral spin symmetry emerges in QCD which is not consistent with free quarks and suggests that degrees of freedom are chirally symmetric quarks bound into the color-singlet objects by the chromoelectric field. Here we analyse temporal and spatial correlators in this interval and demonstrate that they indicate simultaneously the chiral spin symmetry as well as absence of the interquark interactions in channels constrained by a current conservation. The latter channels are responsible for both fluctuations of conserved charges and for dileptons. Assuming that a SU(2)_color subgroup of SU(3)_color is deconfined soon above T_c but confinement persits in SU(3)_color/SU(2)_color in the interval T_c - 3T_c we are able to reconcile all empirical facts listed above.
Comments:
10 pages; Final version; accepted by PRD
Subjects:
High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); High Energy Physics — Theory (hep-th); Nuclear Theory (nucl-th)
arXiv:
2005.10538 [pdf]
PRD(2020)·4 citations
09
[Submitted on 21 May 2020] (cross-list from hep-lat)
Strong Coupling Lattice QCD in the Continuous Time Limit
Marc Klegrewe🇩🇪 · Wolfgang Unger🇩🇪
We present results for lattice QCD with staggered fermions in the limit of infinite gauge coupling, obtained from a worm-type Monte Carlo algorithm on a discrete spatial lattice but with continuous Euclidean time. This is obtained by sending both the anisotropy parameter $ξ = a_{σ} / a_{τ}$ and the number of time-slices $N_{τ}$ to infinity, keeping the ratio $a T = ξ / N τ$ fixed. The obvious gain is that no continuum extrapolation $N_{τ} \to \infty$ has to be carried out. Moreover, the algorithm is faster and the sign problem disappears. We derive the continuous time partition function and the corresponding Hamiltonian formulation. We compare our computations with those on discrete lattices and study both zero and finite temperature properties of lattice QCD in this regime.
Comments:
37 pages, 36 figures
Subjects:
High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
arXiv:
2005.10813 [pdf]
PRD(2020)·15 citations

Affiliations

first authorsco-authorsvia INSPIRE

How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid

Recent developments in chiral and spin polarization effects in heavy-ion collisions

Analytic model studies of polarized baryon production

Fluctuations of conserved charges, chiral spin symmetry and deconfinement in an SU(2)_color subgroup of SU(3)_color above T_c

Strong Coupling Lattice QCD in the Continuous Time Limit

Affiliations