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Phys. Rev. D 62, 025018 (2000) [10 pages]

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

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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

Received 16 December 1999; published 23 June 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.025018
DOI:
10.1103/PhysRevD.62.025018
PACS:
11.10.Wx, 11.30.Rd

*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