Phase transitions and mass generation in 2+1 dimensions

Journal Article · Fri Jul 15 00:00:00 EDT 1994 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.50.1060· OSTI ID:7284006

Semenoff, G W ^[1]; Suranyi, P; Wijewardhana, L C.R. ^[2]

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1. Department of Physics, University of British Columbia, Vancouver, British Columbia, V6T1Z1 (Canada)
2. Department of Physics, University of Cincinnati, Cincinnati, Ohio 45221 (United States)

The possibility that the [epsilon] expansion can predict the order of phase transitions in three-dimensional field theories is examined. For a Hermitian matrix-value and 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 matrix order parameters. Using the large [ital 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.

• DOE Contract Number: FG02-84ER40153
• OSTI ID: 7284006
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 50:2; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
PHASE TRANSFORMATIONS
QUANTUM FIELD THEORY
THREE-DIMENSIONAL CALCULATIONS
CHIRAL SYMMETRY
FLAVOR MODEL
FLUCTUATIONS
HERMITIAN MATRIX
MASS
ORDER PARAMETERS
QUANTUM CHROMODYNAMICS
SYMMETRY BREAKING
COMPOSITE MODELS
FIELD THEORIES
MATHEMATICAL MODELS
MATRICES
PARTICLE MODELS
QUARK MODEL
SYMMETRY
VARIATIONS
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)