Mean field and Monte Carlo studies of SU(N) chiral models in three dimensions

John B. Kogut; Michael Snow; Michael Stone

doi:10.1016/0550-3213(82)90065-7

Mean field and Monte Carlo studies of SU(N) chiral models in three dimensions

John B. Kogut, Michael Snow, Michael Stone

Physics

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

Abstract

SU(N) chiral models defined on three-dimensional cubic lattices arestudied using mean field and Monte Carlo techniques. Mean field theory predicts first-order transitions for all finite N greater than two. The mean field estimates of the transition temperature and discontinuity of the order parameter are in good agreement with computer simulations for N = 3 and 4. The N → ∞ limit of mean field theory has a first-order phase transition.

Original language	English (US)
Pages (from-to)	211-231
Number of pages	21
Journal	Nuclear Physics, Section B
Volume	200
Issue number	1
DOIs	https://doi.org/10.1016/0550-3213(82)90065-7
State	Published - Jan 4 1982

ASJC Scopus subject areas

Nuclear and High Energy Physics

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abstract = "SU(N) chiral models defined on three-dimensional cubic lattices arestudied using mean field and Monte Carlo techniques. Mean field theory predicts first-order transitions for all finite N greater than two. The mean field estimates of the transition temperature and discontinuity of the order parameter are in good agreement with computer simulations for N = 3 and 4. The N → ∞ limit of mean field theory has a first-order phase transition.",

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