Scaling and the continuum limit of gluoN_c plasmas

Abstract

We investigated the finite temperature (T) phase transition for SU(Nc) gauge theory with Nc=4, 6, 8 and 10 at lattice spacing, a, of 1/(6T) or less. We found that these theories have first order transitions at such small a. In many cases we were able to find the critical couplings with precision as good as a few parts in 10^4. We also investigated the use of two-loop renormalization group equations in extrapolating the lattice results to the continuum, thus fixing the temperature scale in units of the phase transition temperature, Tc. We found that when a \le 1/(8Tc) the two-loop extrapolation was accurate to about 1--2%. However, we found that trading Tc for the QCD scale, Lambda_MSbar, increases uncertainties significantly, to the level of about 5--10%.

Small corrections

References in corpus (3)

• Renormalized Polyakov loops in many representations
• On the running of the bare coupling in SU(N) lattice gauge theories
• Exploring the gluoN_c plasma

Cited by in corpus (24)

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• Thermodynamics of SU(N) Yang-Mills theories in 2+1 dimensions II - The deconfined phase
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• QCD thermodynamics from lattice calculations with non-equilibrium methods: The SU(3) equation of state
• Introductory lectures to large-N QCD phenomenology and lattice results
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• Finite-temperature phase structure of SU(4) gauge theory with multiple fermion representations
• Cosmic strings from pure Yang-Mills theory
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• Using Wilson flow to study the SU(3) deconfinement transition
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• Recent results in large-N lattice gauge theories
• Hadronic Screening in Improved Taste
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• Jet quenching from the lattice
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• Derivation of Meson Masses in SU(3) and SU(4) Extended Linear-Sigma Model at Finite Temperature