Is there a phase transition in Maxwell-Chern-Simons theory

Journal Article · Sun Aug 15 04:00:00 EDT 1993 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.48.1808· OSTI ID:6076363

Burgess, M ^[1]; Toms, D J ^[2]; Tveten, N ^[1]

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1. Institute of Physics, University of Oslo, P.O. Box 1048, Blindern, 0316 Oslo 3 (Norway)
2. Physics Department, University of Newcastle Upon Tyne, NE1 7RU (United Kingdom)

We reexamine recent work on the Abelian Higgs model (scalar QED) in 2+1 dimensions. We compute the effective potential at finite temperature using the Vilkovisky-DeWitt formalism and show that there is spontaneous symmetry breaking at one loop. We use an effective action formalism to take into account ring corrections and find that classically broken symmetries can be restored at high temperature. The presence of the Chern-Simons parameter can hinder symmetry breaking for values of the self-couplings very close to the critical value normally required for a phase transition.

• OSTI ID: 6076363
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 48:4; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSE-EINSTEIN CONDENSATION
CORRECTIONS
ELECTRODYNAMICS
FIELD THEORIES
HIGGS MODEL
MATHEMATICAL MODELS
PARTICLE MODELS
PHASE TRANSFORMATIONS
PHI4-FIELD THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
SCALAR FIELDS
SYMMETRY BREAKING
TEMPERATURE DEPENDENCE
THREE-DIMENSIONAL CALCULATIONS