Phase transitions and mass generation in 2+1 dimensions
- 15 July 1994
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 50 (2) , 1060-1067
- https://doi.org/10.1103/physrevd.50.1060
Abstract
The possibility that the ε expansion can predict the order of phase transitions in three-dimensional field theories is examined. For a Hermitian matrix-value and order parameter, the ε expansion predicts fluctuation-induced first order phase transitions. We analyze two (2+1)-dimensional quantum field theories which exhibit spontaneous symmetry breaking and have matrix 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.Keywords
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This publication has 33 references indexed in Scilit:
- Chiral hierarchies, compositeness, and the renormalization groupPhysical Review D, 1994
- Critical constraints on chiral hierarchiesPhysical Review Letters, 1993
- Current algebra in three dimensionsPhysical Review Letters, 1992
- Aspects of dynamical electroweak symmetry breakingNuclear Physics B, 1990
- Critical behavior in (2+1)-dimensional QCDPhysical Review Letters, 1990
- Higher-order corrections in (2+1)-dimensional QEDPhysical Review Letters, 1989
- IS THE t QUARK RESPONSIBLE FOR THE MASS OF W AND Z BOSONS?Modern Physics Letters A, 1989
- Dynamical electroweak symmetry breaking with large anomalous dimension and t quark condensatePhysics Letters B, 1989
- Higher mass scales and mass hierarchiesPhysics Letters B, 1989
- Critical Behavior in (2+1)-Dimensional QEDPhysical Review Letters, 1988