摘要

Starting from Wilson's action, we calculate strong coupling series for the Polyakov loop susceptibility in lattice gauge theories for various small N-tau in the thermodynamic limit. Analysing the series with Pade approximants, we estimate critical couplings and exponents for the deconfinement phase transition. For SU(2) pure gauge theory our results agree with those from Monte-Carlo simulations within errors, which for the coarser N-tau = 1, 2 lattices are at the percent level. For QCD we include dynamical fermions via a hopping parameter expansion. On a N-tau = 1 lattice with N-f = 1, 2, 3, we locate the second order critical point where the deconfinement transition turns into a crossover. We furthermore determine the behaviour of the critical parameters with finite chemical potential and find the first order region to shrink with growing mu. Our series moreover correctly reflects the known Z(N) transition at imaginary chemical potential.

  • 出版日期2010-1