Equation of state for the (2+1)-dimensional Gross-Neveu model at order 1/N

M. Modugno, G. Pettini, and R. Gatto
Phys. Rev. D 57, 4995 – Published 15 April 1998
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Abstract

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.

  • Received 5 August 1997

DOI:https://doi.org/10.1103/PhysRevD.57.4995

©1998 American Physical Society

Authors & Affiliations

M. Modugno and G. Pettini

  • Dipartimento di Fisica, Università di Firenze, I-50125 Firenze, Italy
  • Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, I-50125 Firenze, Italy

R. Gatto

  • Département de Physique Théorique, Université de Genève, CH-121 Genève 4, Switzerland

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Vol. 57, Iss. 8 — 15 April 1998

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