Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-09-30
Phys.Rev.D80:114504,2009
Physics
High Energy Physics
High Energy Physics - Lattice
Small corrections
Scientific paper
10.1103/PhysRevD.80.114504
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%.
Datta Saumen
Gupta Sourendu
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