Tue·Oct 26, 2021Tuesday·October 26, 2021

1. 01*

   Critical Three-Dimensional Ising Model on Spheriods from the Conformal Bootstrap

   Daniel Berkowitz🇺🇸 · George Fleming🇺🇸

   We construct a conformal map from ${\mathbb{R}}^3$ to a three-dimensional spheriod, which includes ${\mathbb{S}}^3$, a double-cover of the 3-ball, and $\mathbb{R}\times {\mathbb{S}}^2$ as limiting cases. Using the data of the critical three-dimensional Ising model on ${\mathbb{R}}^3$ that was computed using the conformal bootstrap method, we numerically estimate the fourth-order Binder cumulant of the critical three-dimensional ${\varphi }^4$ theory on ${\mathbb{S}}^3$. We expect this estimate will enable an interesting comparison between the conformal bootstrap and future calculations of critical ${\varphi }^4$ theory on ${\mathbb{S}}^3$ using the Quantum Finite Element (QFE) method.

   hep-lathep-th2 citations
2. 02*

   Thermal QCD with external imaginary electric fields on the lattice

   Gergely Endrodi🇩🇪 · Gergely Marko🇩🇪

   We study QCD at finite temperature in the presence of imaginary electric fields. In particular, we determine the electric susceptibility, the leading coefficient in the expansion of the QCD pressure in the imaginary field. Unlike for magnetic fields, at nonzero temperature this coefficient requires a non-trivial separation of genuine electric field-related effects and spurious effects related to the chemical potential, which becomes an unphysical gauge parameter in this setting. Our results are based on lattice simulations with stout improved dynamical staggered quarks at physical quark masses.

   hep-lathep-phhep-thnucl-thPoS(2022)·8 citations
3. 03*

   Localised Dirac eigenmodes and Goldstone's theorem at finite temperature

   Matteo Giordano🇭🇺

   I show that a finite density of near-zero localised Dirac modes can lead to the disappearance of the massless excitations predicted by the finite-temperature version of Goldstone's theorem in the chirally broken phase of a gauge theory.

   hep-latcond-mat.dis-nnhep-thPoS(2022)·3 citations
4. 04*

   Lattice study of the confinement/deconfinement transition in rotating gluodynamics

   V.V. Braguta🇷🇺 · A.Yu. Kotov🇩🇪 · D.D. Kuznedelev🇷🇺 · A.A. Roenko🇷🇺

   We study the influence of relativistic rotation on the confinement/deconfinement phase transition in gluodynamics by means of lattice simulations. The simulation is performed in the reference frame which rotates with the system under investigation, where rotation is reduced to external gravitational field. The Polyakov loop and its susceptibility are calculated for various lattice parameters and values of angular velocities which are characteristic for heavy-ion collision experiments. Different types of boundary conditions (open, periodic, Dirichlet) are imposed in directions, orthogonal to rotation axis. It is shown, that the critical temperature of the confinement/deconfinement transition in gluodynamics grows quadratically with increasing angular velocity. This conclusion does not depend on the boundary conditions used in our study and we believe that this is universal property of gluodynamics. We also present first results of the study of the phase diagram of rotating QCD matter with fermions. The results indicate, that effect of the rotation on fermions is opposite to gluons: it leads to the decrease of the critical temperature.

   hep-lathep-phhep-thPoS(2022)·24 citations
5. 05*

   Remnants of large-$N_{\mathrm{f}}$ inhomogeneities in the 2-flavor chiral Gross-Neveu model

   Julian J. Lenz🇩🇪 · Michael Mandl🇩🇪

   We study the $(1+1)$-dimensional chiral Gross-Neveu model on the lattice. At finite density, analytic mean-field results predict the existence of inhomogeneous condensates breaking both chiral symmetry and spacetime symmetries spontaneously. We investigate the fate of these inhomogeneities for two flavors and find remnant structural order, albeit with a decaying amplitude. We also map out phase diagrams in the plane spanned by the chemical potential and temperature for different lattice spacings and physical volumes. Finally, we comment on the interpretation of our results in the light of various no-go theorems.

   hep-lathep-thPoS(2022)·11 citations
6. 06*

   Lattice pure gauge compact QED in the Landau gauge: the photon propagator, the phase structure and the presence of Dirac strings

   Lee C. Loveridge🇵🇹 · Orlando Oliveira🇵🇹 · Paulo J. Silva🇵🇹

   In this work we investigate the lattice Landau gauge photon propagator together with the average number of Dirac strings in the compact formulation of QED for the pure gauge version of the theory as a function of the coupling constant. Their $\beta$ dependence show that these two quantities can be used to identify the confinement-deconfinement transition and that the nature of this transition is first order. Our results show that in the confined phase the propagator is always finite, the theory has a mass gap and the number of Dirac strings present in the configuration is two orders of magnitude larger than in the deconfined phase. Furthermore, in the deconfined phase where $\beta \ge 1.0125$ the theory becomes massless, there are essentially no Dirac strings and the photon propagator diverges when the limit $p\to 0^{+}$ is taken. Our results illustrate the importance of the topological structures in the dynamics of the two phases.

   hep-lathep-phPRD(2021)·9 citations
7. 07*

   New lattice results for SU(2) gauge theory with one adjoint Dirac flavor

   Ed Bennett🇬🇧 · Andreas Athenodorou🇨🇾 · Georg Bergner🇩🇪 · Biagio Lucini🇬🇧

   Motivated by recent scenarios of exotic infrared behaviour and by earlier lattice findings, we present results for the SU(2) gauge theory with one Dirac flavor in the adjoint representation. This provides a major update on our previous investigation of this theory, including data for four values of the gauge coupling $\beta$, and for smaller masses and larger volumes than previously considered. Results for the particle spectrum, topological observables, and the anomalous dimension from both hyperscaling and the Dirac mode number are presented. At the finest coupling, we observe a mass anomalous dimension of ${\gamma }_{\ast }\gtrsim 0.6$. Our findings are analysed in relation to possible infrared behaviours of the model. In particular, we show that our results are not compatible with a confining scenario in which chiral symmetry is broken.

   hep-latPoS(2022)·4 citations
8. 08*

   QCD Sum Rules at High Temperature

   Thors Hans Hansson🇸🇪 · Ismail Zahed🇺🇸

   We generalize the sum rule approach to investigate the nonperturbative structure of QCD at high temperature. Salient features of the QCD phase above $T_c$ are discussed, and included in the form of power corrections or condensate insertions, in an operator product expansion of gauge invariant correlators. It is shown that for a plausible choice of condensates, QCD at high temperature exhibits color singlet excitations in the vector channels, as opposed to merely screened quarks and gluons.

   ↳ hep-phhep-lathep-thnucl-th1 citation
9. 09*

   Quantum Computation of Phase Transition in the Massive Schwinger Model

   Shane Thompson🇺🇸 · George Siopsis🇺🇸

   As pointed out by Coleman, physical quantities in the Schwinger model depend on a parameter $\theta$ that determines the background electric field. There is a phase transition for $\theta =\pi$ only. We develop a momentum space formalism on a lattice and use it to perform a quantum computation of the critical point of this phase transition on the NISQ device IMB Q Lima. After error mitigation, our results give strong indication of the existence of a critical point at $m/e\simeq 0.32$, where $m$ is the bare fermion mass and $e$ is the coupling strength, in good agreement with the classical numerical result $m/e\simeq 0.3335$.

   ↳ quant-phhep-lathep-thQuantum Sci.Technol.(2022)·30 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.