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An Approximate Large $N$ Method for Lattice Chiral Models | Stuart Samuel
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26 Sep 1997 | Journal: | Phys.Rev. D56 (1997) 1470-1474 | Subject: | hep-th hep-lat | Affiliation: | MPI, Columbia University and City College of New York | Abstract: | An 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 | Services: | Forum | Review | PDF | Favorites |
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