Themodynamics for pure SU($2$) gauge theory using gradient flow

Abstract

We study the equation of state of pure SU($2$) gauge theory using Monte Carlo simulations. The scale-setting of lattice parameters has been carried by using the gradient flow. We propose a reference scale $t_0$ for the SU($2$) gauge theory satisfying $t^2⟨E⟩{|}_{t=t_0}=0.1$, which is fixed by a natural scaling-down of the standard $t_0$-scale for the SU($3$) case based on perturbative analyses. We also show the thermodynamic quantities as a function of $T/T_c$, which are derived by the energy-momentum tensor using the small flow-time expansion of the gradient flow.

arXiv comment25 pages, 12 figures, reference added, revised manuscript

References in corpus (50)

• The four-loop beta-function in Quantum Chromodynamics
• Thermodynamics of SU(3) Lattice Gauge Theory
• The QCD equation of state with dynamical quarks
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• Chiral effective model with the Polyakov loop
• Phases of QCD: lattice thermodynamics and a field theoretical model
• Properties and uses of the Wilson flow in lattice QCD
• Viscosity, Black Holes, and Quantum Field Theory
• Polyakov loop, diquarks and the two-flavour phase diagram
• Phase diagrams in the three-flavor Nambu--Jona-Lasinio model with the Polyakov loop
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• The Nf=0 heavy quark potential from short to intermediate distances
• Effect of curvature squared corrections in AdS on the viscosity of the dual gauge theory
• A calculation of the shear viscosity in SU(3) gluodynamics
• Trivializing maps, the Wilson flow and the HMC algorithm
• Thermodynamics of the QCD plasma and the large-N limit
• Transport Coefficients of Gluon Plasma
• Scaling and Asymptotic Scaling in the SU(2) Gauge Theory
• Chiral Symmetry Restoration and $Z_N$ Symmetry
• Polyakov loop in chiral quark models at finite temperature
• Precision SU(3) lattice thermodynamics for a large temperature range
• Deconfining Phase Transition as a Matrix Model of Renormalized Polyakov Loops
• Spectral sum rules for the quark-gluon plasma
• Dense Quarks, and the Fermion Sign Problem, in a SU(N) Matrix Model
• Scaling Properties of the Energy Density in SU(2) Lattice Gauge Theory
• The lattice gradient flow at tree-level and its improvement
• Temperature dependence of shear viscosity of $SU(3)$--gluodynamics within lattice simulation
• Comparison of the gradient flow with cooling in $SU(3)$ pure gauge theory
• Lattice energy-momentum tensor from the Yang-Mills gradient flow -- inclusion of fermion fields
• Two-point functions for SU(3) Polyakov Loops near T_c
• Thermodynamics of SU(3) Gauge Theory from Gradient Flow
• Symanzik improvement of the gradient flow in lattice gauge theories
• Universality and the approach to the continuum limit in lattice gauge theory
• Two-color quark matter: U(1)_A restoration, superfluidity, and quarkyonic phase
• Three-loop HTL gluon thermodynamics at intermediate coupling
• Space-time symmetries and the Yang-Mills gradient flow
• Equation of state of the SU($3$) Yang-Mills theory: a precise determination from a moving frame
• Topological susceptibility in finite temperature (2+1)-flavor QCD using gradient flow
• An overview of the experimental study of quark-gluon matter in high-energy nucleus-nucleus collisions
• Exploring Nf=2+1 QCD thermodynamics from the gradient flow
• The perturbative QCD gradient flow to three loops
• Hagedorn spectrum and thermodynamics of SU(2) and SU(3) Yang-Mills theories
• Energy-momentum tensor on the lattice: non-perturbative renormalization in Yang--Mills theory
• Gradient-flowed thermal correlators: how much flow is too much?
• Phase structure of two-color QCD at real and imaginary chemical potentials; lattice simulations and model analyses
• Study of shear viscosity of SU (2)-gluodynamics within lattice simulation
• Improved thermodynamics of SU(2) gauge theory
• Deconfinement, gradient and cooling scales for pure SU(2) lattice gauge theory
• Two-color QCD at imaginary chemical potential and its impact on real chemical potential
• Minimum Shear Viscosity over Entropy Density at Phase Transition? --- A Counterexample

Cited by in corpus (8)

• Stochastic normalizing flows as non-equilibrium transformations
• Anisotropic pressure induced by finite-size effects in SU(3) Yang-Mills theory
• Hybrid static potentials in SU(3) lattice gauge theory at small quark-antiquark separations
• Short flow-time coefficients of CP-violating operators
• Latent heat and pressure gap at the first-order deconfining phase transition of SU(3) Yang-Mills theory using the small flow-time expansion method
• Distribution of Energy-Momentum Tensor around a Static Quark in the Deconfined Phase of SU(3) Yang-Mills Theory
• Effective models of a semi-quark gluon plasma
• Renormalization of the energy-momentum tensor in three-dimensional scalar $SU(N)$ theories using the Wilson flow