Quantized and thermalized supersymmetric Maxwell-Chern-Simons theory

Journal Article · Wed Jul 15 04:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.46.726· OSTI ID:7184323

Leblanc, M; Thomaz, M T ^[1]

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1. Center for Theoretical Physics, Laboratory for Nuclear Science Department of Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139 (United States)

We study the {ital N}=2 supersymmetric Maxwell-Chern-Simons theory. At the classical level, the potential for scalar fields has degenerate minima. To study the ground-state degeneracy of the quantized theory, we calculate the quantum and thermal fluctuations of fields contributing to the effective potential. We find that at zero temperature the degeneracy is not lifted at one loop, while at high temperature the U(1) symmetry is restored at one loop, and there are no higher leading-order temperature corrections. We show that the effective potential given by the Maxwell-Chern-Simons theory in the infinite electric charge limit (Chern-Simons limit) does not coincide with the effective potential obtained solely within Chern-Simons theory; instead the Chern-Simons coupling constant 4{pi}{kappa} is shifted by a half-integer.

• DOE Contract Number: AC02-76ER03069
• OSTI ID: 7184323
• Journal Information: Physical Review, D (Particles Fields); (United States), Journal Name: Physical Review, D (Particles Fields); (United States) Vol. 46:2; ISSN 0556-2821; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSICAL MECHANICS
COUPLING CONSTANTS
ELECTRIC CHARGES
FUNCTIONS
LAGRANGIAN FUNCTION
LIE GROUPS
MECHANICS
POTENTIALS
SCALAR FIELDS
SPACE-TIME
SUPERSYMMETRY
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
U GROUPS
U-1 GROUPS