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28 March 2024
 
  » arxiv » hep-th/9709195

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An Approximate Large $N$ Method for Lattice Chiral Models
Stuart Samuel ;
Date 26 Sep 1997
Journal Phys.Rev. D56 (1997) 1470-1474
Subject hep-th hep-lat
AffiliationMPI, Columbia University and City College of New York
AbstractAn approximation is used that permits one to explicitly solve the two-point Schwinger-Dyson equations of the U(N) lattice chiral models. The approximate solution correctly predicts a phase transition for dimensions $d$ greater than two. For $d le 2 $, the system is in a single disordered phase with a mass gap. The method reproduces known $N=infty$ results well for $d=1$. For $d=2$, there is a moderate difference with $N=infty$ results only in the intermediate coupling constant region.
Source arXiv, hep-th/9709195
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