Renormalization of the Polyakov loop with gradient flow

Abstract

We use the gradient flow for the renormalization of the Polyakov loop in various representations. Using 2+1 flavor QCD with highly improved staggered quarks and lattices with temporal extents of $N_{\tau }=6$, $8$, $10$ and $12$ we calculate the renormalized Polyakov loop in many representations including fundamental, sextet, adjoint, decuplet, 15-plet, 24-plet and 27-plet. This approach allows for the calculations of the renormalized Polyakov loops over a large temperature range from $T=116$ MeV up to $T=815$ MeV, with small errors not only for the Polyakov loop in fundamental representation, but also for the Polyakov loops in higher representations. We compare our results with standard renormalization schemes and discuss the Casimir scaling of the Polyakov loops.

10 pages ReVTeX, 9 figures; typos corrected; This is the published version

References in corpus (10)

• The equation of state in (2+1)-flavor QCD
• The QCD transition temperature: results with physical masses in the continuum limit
• The QCD transition temperature: results with physical masses in the continuum limit II.
• The QCD Equation of State with almost Physical Quark Masses
• Equation of state and QCD transition at finite temperature
• Highly Improved Staggered Quarks on the Lattice, with Applications to Charm Physics
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Renormalized Polyakov loops in many representations
• The lattice gradient flow at tree-level and its improvement
• Polyakov loop and correlator of Polyakov loops at next-to-next-to-leading order

Cited by in corpus (23)

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• Symmetries of spatial meson correlators in high temperature QCD
• Finite-density QCD transition in magnetic field background
• Perturbative renormalization of the electric field correlator
• Gradient-flowed thermal correlators: how much flow is too much?
• Proof of the renormalizability of the gradient flow
• The Polyakov loop at next-to-next-to leading order
• Chiral spin symmetry and hot/dense QCD
• Color Screening in Quantum Chromodynamics
• Using Wilson flow to study the SU(3) deconfinement transition
• Centre vortex evidence for a second finite-temperature QCD transition
• On thermal transition in QCD
• Effective Model of QCD Magnetic Monopoles From Numerical Study of One- and Two-Component Coulomb Quantum Bose Gases
• Nonperturbative quark-gluon thermodynamics at finite density
• Single quark entropy and the Polyakov loop
• Shear and bulk viscosity for a pure glue theory using an effective matrix model
• Meson spectrum in SU(N) gauge theories with quarks in higher representations: A check of Casimir scaling hypothesis
• Building models of quarks and gluons with an arbitrary number of colors using Cartan-Polyakov loops
• Polyakov loop renormalization with gradient flow