Mass generation in the large N Gross-Neveu-Model

C. Kopper; J. Magnen; V. Rivasseau

doi:10.1007/BF02101599

Mass generation in the large N Gross-Neveu-Model

C. Kopper
, J. Magnen
, V. Rivasseau

Georg-August-Universität Göttingen
CNRS

Research output: Contribution to journal › Article › peer-review

Abstract

We study the infrared behaviour of the Euclidean Gross-Neveu-Model with discrete chiral symmetry. Imposing a suitable UV-cutoff we prove that for a large (but finite!) number of fermion components the model has (at least) two pure phases, realized by suitable boundary conditions and that the fermion two-point function decays exponentially.

Original language	English
Pages (from-to)	121-180
Number of pages	60
Journal	Communications in Mathematical Physics
Volume	169
Issue number	1
DOIs	https://doi.org/10.1007/BF02101599
Publication status	Published - 1 Apr 1995
Externally published	Yes

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abstract = "We study the infrared behaviour of the Euclidean Gross-Neveu-Model with discrete chiral symmetry. Imposing a suitable UV-cutoff we prove that for a large (but finite!) number of fermion components the model has (at least) two pure phases, realized by suitable boundary conditions and that the fermion two-point function decays exponentially.",

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AB - We study the infrared behaviour of the Euclidean Gross-Neveu-Model with discrete chiral symmetry. Imposing a suitable UV-cutoff we prove that for a large (but finite!) number of fermion components the model has (at least) two pure phases, realized by suitable boundary conditions and that the fermion two-point function decays exponentially.

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JO - Communications in Mathematical Physics

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Mass generation in the large N Gross-Neveu-Model

Abstract

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