Finite Temperature Sum Rules in Lattice Gauge Theory

Abstract

We derive non-perturbative sum rules in SU($N$) lattice gauge theory at finite temperature. They relate the susceptibilities of the trace anomaly and energy-momentum tensor to temperature derivatives of the thermodynamic potentials. Two of them have been derived previously in the continuum and one is new. In all cases, at finite latttice spacing there are important corrections to the continuum sum rules that are only suppressed by the bare coupling $g_0^2$. We also show how the discretization errors affecting the thermodynamic potentials can be controlled by computing these susceptibilities.

12 pages, no figures

References in corpus (12)

• Real-time static potential in hot QCD
• A calculation of the bulk viscosity in SU(3) gluodynamics
• From Quantum Field Theory to Hydrodynamics: Transport Coefficients and Effective Kinetic Theory
• BREAKUP OF HADRON MASSES AND ENERGY-MOMENTUM TENSOR OF QCD
• Determination of Anisotropy Coefficients for SU(3) Gauge Actions from the Integral and Matching Methods
• Low-Energy Theorems for Gluodynamics at Finite Temperature
• Gluon contributions to the pion mass and light cone momentum fraction
• A NOVEL LOOK AT THE MICHAEL LATTICE SUM RULES
• Low-Energy Theorems for QCD at Finite Temperature and Chemical Potential
• Lattice sum rules for the colour fields
• Lattice energy sum rules and the trace anomaly
• Sum Rules and Cutoff Effects in Wilson Lattice QCD

Cited by in corpus (20)

• Physics of Strongly coupled Quark-Gluon Plasma
• Transport Properties of the Quark-Gluon Plasma -- A Lattice QCD Perspective
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Temperature dependence of shear viscosity of $SU(3)$--gluodynamics within lattice simulation
• Thermodynamical second-order hydrodynamic coefficients
• Energy-momentum tensor correlators and spectral functions
• The Bulk Channel in Thermal Gauge Theories
• Next-to-leading order thermal spectral functions in the perturbative domain
• Scalar Quarkonia at Finite Temperature
• Trace Anomaly, Thermal Power Corrections and Dimension Two condensates in the deconfined phase
• Ultraviolet asymptotics of scalar and pseudoscalar correlators in hot Yang-Mills theory
• Lattice Gauge Theory Sum Rule for the Shear Channel
• Spatial correlators in strongly coupled plasmas
• Study of shear viscosity of SU (2)-gluodynamics within lattice simulation
• Quark-Gluon Plasma - New Frontiers
• Finite Volume Effects in Thermal Field Theory
• The transverse structure of the QCD string
• Conformal Anomaly in Yang-Mills Theory and Thermodynamics of Open Confining Strings
• Energy-momentum tensor in QCD: nucleon mass decomposition and mechanical equilibrium
• On the Perturbative Evaluation of Thermal Green's Functions in the Bulk and Shear Channels of Yang-Mills Theory