Phase Transitions and Mass Generation in 2+1 Dimensions

Details Phase Transitions and Mass Generation in 2+1 Dimensions Phase Transitions and Mass Generation in 2+1 Dimensions

1995-02-10

arxiv.org/abs/hep-ph/9502272v1

Phys.Rev. D50 (1994) 1060-1067

Physics

High Energy Physics

High Energy Physics - Phenomenology

published in Phys. Rev. D50, 1060 (1994)

Scientific paper

10.1103/PhysRevD.50.1060

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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