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arXiv · hep-th/9701145

Analytic results in 2+1-dimensional Finite Temperature LGT

M. Billo'·M. Caselle·A. D'Adda
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Abstract

In a 2+1-dimensional pure LGT at finite temperature the critical coupling for the deconfinement transition scales as $β_c(n_t) = J_c n_t + a_1$, where $n_t$ is the number of links in the ``time-like'' direction of the symmetric lattice. We study the effective action for the Polyakov loop obtained by neglecting the space-like plaquettes, and we are able to compute analytically in this context the coefficient $a_1$ for any SU(N) gauge group; the value of $J_c$ is instead obtained from the effective action by means of (improved) mean field techniques. Both coefficients have already been calculated in the large N limit in a previous paper. The results are in very good agreement with the existing Monte Carlo simulations. This fact supports the conjecture that, in the 2+1-dimensional theory, space-like plaquettes have little influence on the dynamics of the Polyakov loops in the deconfined phase.

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M. Billo', M. Caselle, A. D'Adda. 1997-01-27. Analytic results in 2+1-dimensional Finite Temperature LGT. https://doi.org/10.1142/s0217751x97003017

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