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Constructive Physics Results in Field Theory, Statistical Mechanics and Condensed Matter Physics pp 161–167Cite as

Mass generation in a one-dimensional fermi model

  • Field Theory, Models
  • Conference paper
  • First Online:

  • 358 Accesses

Part of the book series: Lecture Notes in Physics ((LNP,volume 446))

Abstract

We consider the one-dimensional Gross-Neveu model and, for a large number N of flavor components, prove the fermion develops a mass dynamically without breakdown of the discrete chiral symmetry.

Research supported in part by the Conselho Nacional de Desenvolvimento Científico e Tecnológico, CNPq-Brazil.

Supported in part by the Fundação de Amparo à Pesquisa no Estado de São Paulo, FAPESP, Brazil 69.

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References

  1. Faria da Veiga, P.A.; Hurd, T.R. and Marchetti, D.H.U.; pre-print IFUSP/1994.

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  3. Glimm J. and Jaffe, A.; Quantum Physics: A Functional Integral Point of View, Springer-Verlag, 2nd edition, New York (NY), 1989.

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  6. Kopper, C., Magnen, J. and Rivasseau, V.; pre-print Ecole Polytechnique, Palaiseau, and also contribution to this Conference.

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Author information

Authors and Affiliations

  1. Instituto de Ciências Matemáticas, Universidade de São Paulo, C.P. 668, 13560, São Carlos, SP, Brazil

    P. A. Faria da Veiga

  2. Department of Mathematics & Statistics, McMaster University, L8S 4K1, Hamilton, Canada

    T. R. Hurd

  3. Instituto de Física, Universidade de São Paulo, C.P. 20516, 01452, São Paulo, SP, Brazil

    D. H. U. Marchetti

Authors
  1. P. A. Faria da Veiga
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  2. T. R. Hurd
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  3. D. H. U. Marchetti
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Editor information

Vincent Rivasseau

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© 1995 Springer-Verlag

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Cite this paper

Faria da Veiga, P.A., Hurd, T.R., Marchetti, D.H.U. (1995). Mass generation in a one-dimensional fermi model. In: Rivasseau, V. (eds) Constructive Physics Results in Field Theory, Statistical Mechanics and Condensed Matter Physics. Lecture Notes in Physics, vol 446. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-59190-7_27

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  • DOI: https://doi.org/10.1007/3-540-59190-7_27

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-59190-0

  • Online ISBN: 978-3-540-49222-1

  • eBook Packages: Springer Book Archive

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