1997/08/05 by R. Gatto, Giulio Pettini, M. Modugno +1 · 2 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Chromodynamics and Particle Interactions #Spectral Theory in Mathematical Physics #hep-ph
paper · pdf · doi:10.1103/physrevd.57.4995
published as Phys.Rev. D57 (1998) 4995-5003 · 19 pages, RevTeX, 10 figures.ps
arxiv created 1997/08/05 · openalex publication_date 1998/04/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
We calculate the equation of state of the Gross-Neveu model in 2+1 dimensions at order 1/N, where N is the number of fermion species. We make use of a general formula valid for four-fermion theories, previously applied to the model in 1+1 dimensions. We consider both the discrete and continuous symmetry versions of the model. We show that, as expected, the pion-like excitations give the dominant contribution at low temperatures. The range of validity for such pion dominance is analyzed. The complete analysis from low to high temperatures also shows that in the critical region the role of composite states is relevant, even for quite large N, and that the free-component behavior at high T starts at about twice the mean field critical temperature.