Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1994-12-13
Nucl.Phys.Proc.Suppl. 42 (1995) 532-534
Physics
High Energy Physics
High Energy Physics - Lattice
3 pages, 3 figures, latex, self-extracting, Lattice '94 contribution
Scientific paper
10.1016/0920-5632(95)00303-Q
Using lattice perturbation theory at finite temperature, we compute for staggered fermions the one-loop fermionic corrections to the spatial and temporal plaquette couplings as well as the leading $Z_N$ symmetry breaking coupling. Numerical and analytical considerations indicate that the finite temperature corrections to the zero-temperature calculation of A. Hasenfratz and T. DeGrand are small for small values of $\kappa = {1\over 2m_F}$, but become significant for intermediate values of $\kappa$. The effect of these finite temperature corrections is to ruin the agreement of the Hasenfratz-DeGrand calculation with Monte Carlo data. We conjecture that the finite temperature corrections are suppressed nonperturbatively at low temperatures, resolving this apparent disagreement. The $Z_N$ symmetry breaking coupling is small; we argue that it may change the order of the transition while having little effect on the critical value of $\beta$.
Meisinger Peter N.
Ogilvie Michael C.
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