Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-11-10
Physica A260 (1998) 157-172
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 25 pages, 4 eps fig., uses epsf.sty and epsf.tex
Scientific paper
We study the finite-temperature phase transition of the generalized Gross-Neveu model with continous chiral symmetry in $2 < d \leq 4$ euclidean dimensions. The critical exponents are computed to the leading order in the $1/N$ expansion at both zero and finite temperatures. A dimensionally reduced theory is obtained after the introduction of thermal counterterms necessary to cancel thermal divergences that arise in the limit of high temperature. Although at zero temperature we have an infinitely and continously degenerate vacuum state, we show that at finite temperature this degeneracy is discrete and, depending on the values of the bare parameters, we may have either total or partial restoration of symmetry. Finally we determine the universality class of the reduced theory by a simple analysis of the infrared structure of thermodynamic quantities computed using the reduced action as starting point.
Ananos Gino N. J.
Malbouisson Adolfo P. C.
Silva Neto Marcello B.
Svaiter Nami F.
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