Thermodynamics of the (2+1)-dimensional Gross-Neveu model with complex chemical potential

H. R. Christiansen, A. C. Petkou, M. B. Silva Neto, and N. D. Vlachos
Phys. Rev. D 62, 025018 – Published 23 June 2000
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Abstract

We study the thermodynamics of the (2+1)-dimensional Gross-Neveu model by introducing a representation for the canonical partition function which encodes both real and imaginary chemical potential cases. It is pointed out that the latter case probes the thermodynamics of possible anyon-like excitations in the spectrum. It is also intimately connected to the breaking of the discrete Z-symmetry of the model, which we interpret as signaling anyon deconfinement. Finally, the chiral properties of the model in the presence of an imaginary chemical potential are discussed and analytical results for the free-energy density at the transition points are presented.

  • Received 16 December 1999

DOI:https://doi.org/10.1103/PhysRevD.62.025018

©2000 American Physical Society

Authors & Affiliations

H. R. Christiansen1,5,*, A. C. Petkou2,†, M. B. Silva Neto1,3,‡, and N. D. Vlachos4,§

  • 1Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150-Urca, CEP:22290-180, Rio de Janeiro, Brazil
  • 2Fachbereich Physik, Theoretische Physik, Universität Kaiserslautern Postfach 3049, 67653 Kaiserslautern, Germany
  • 3Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, CEP:21945-970, Rio de Janeiro, Brazil
  • 4Department of Theoretical Physics, Aristotle University of Thessaloniki, Thessaloniki 54006, Greece
  • 5Group of Theoretical Physics, Universidade Católica de Petrópolis, Rua Barão de Amazonas 124, Petrópolis 25685-070, Rio de Janeiro, Brazil

  • *Email address: hugo@cbpf.br
  • Email address: petkou@physik.uni-kl.de
  • Present address: Institute de Física Universidade Federal do Rio de Janeiro, Caixa Postal 68528, CEP:21945-970, Rio de Janeiro, Brazil. Email address: sneto@if.ufrj.br
  • §Email address: vlachos@physics.auth.gr

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Vol. 62, Iss. 2 — 15 July 2000

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