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arXiv · hep-ph/9502272

Phase Transitions and Mass Generation in 2+1 Dimensions

G. W. Semenoff·P. Suranyi·L. C. R. Wijewardhana
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Abstract

The possibility that the epsilon expansion can predict the order of phase transitions in three dimensional field theories is examined. For a Hermitean matrix-valued order parameter, the epsilon expansion predicts fluctuation induced first order phase transitions. We analyze two 2+1-dimensional quantum field theories which exhibit spontaneous symmetry breaking and have martix order parameters. Using the large $N$ expansion, we show that these models exhibit second order transitions and discuss the implications for the chiral symmetry breaking transition in 2+1-dimensional QCD for a critical number of quark flavors.

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G. W. Semenoff, P. Suranyi, L. C. R. Wijewardhana. 1995-02-10. Phase Transitions and Mass Generation in 2+1 Dimensions. https://doi.org/10.1103/physrevd.50.1060

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