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The critical exponents of the matrix-valued Gross-Neveu model

Authors
Journal
Nuclear Physics B
0550-3213
Publisher
Elsevier
Publication Date
Volume
487
Issue
3
Identifiers
DOI: 10.1016/s0550-3213(96)00708-0
Keywords
  • Field Theory And Statistical Systems

Abstract

Abstract We study the large- N limit of the matrix-valued Gross-Neveu model in d > 2 dimensions. The method employed is a combination of the approximate recursion formula of Polyakov and Wilson with the solution to the zero-dimensional large-N counting problem of Makeenko and Zarembo. The model is found to have a phase transition at a finite value for the critical temperature and the critical exponents are approximated by ν = 1/(2( d − 2)) and η = d − 2. We test the validity of the approximation by applying it to the usual vector models where it is found to yield exact results to leading order in 1/ N.

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