Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1994-06-17
Phys.Rev. D51 (1995) 3042-3060
Physics
High Energy Physics
High Energy Physics - Theory
34 pages (+18 figures, available upon request to pettini@fi.infn.it), LATEX file, uses art12a.sty, macro included, UGVA-DPT 19
Scientific paper
10.1103/PhysRevD.51.3042
We study the thermodynamics of massive Gross-Neveu models with explicitly broken discrete or continuous chiral symmetries for finite temperature and fermion densities. The large $N$ limit is discussed bearing attention to the no-go theorems for symmetry breaking in two dimensions which apply to the massless cases. The main purpose of the study is to serve as analytical orientation for the more complex problem of chiral transition in $4-$dimensional QCD with quarks. For any non-vanishing fermion mass we find, at finite densities, lines of first order phase transitions. For small mass values traces of would-be second order transitions and a tricritical point are recognizable. We study the thermodynamics of these models, and in the model with broken continuous chiral symmetry we examine the properties of the pion like state.
Barducci Alessandro
Casalbuoni Roberto
Gatto Raoul
Modugno Marco
Pettini Giulio
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