Gauge dependence of the. eta. function in Chern-Simons field theory and the Vilkovisky-DeWitt correction

Journal Article · Wed Nov 14 23:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.42.3476· OSTI ID:6150957

Birmingham, D ^[1]; Cho, H T; Kantowski, R; Rakowski, M ^[2]

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1. Dublin Institute for Advanced Studies, Dublin (Ireland)
2. Department of Physics and Astronomy, University of Oklahoma, Norman, OK (USA)

We use two one-parameter families of gauges to demonstrate the gauge dependence of {eta}(0) for quantized pure Chern-Simons field theory on {ital R}{sup 3}. The first family consists of local covariant gauges and all reproduce the Landau-DeWitt gauge result. The second family consists of nonlocal and noncovariant gauges which produce gauge-dependent results not proportional to the original background Chern-Simons action. However, when the one-loop quantum operators for these gauges are corrected by adding the appropriate Vilkovisky-DeWitt term, the gauge dependence is removed. All functional traces are evaluated using two methods, a momentum expansion and a covariant perturbation similar to the Schwinger-DeWitt expansion. Gauge dependence of the {beta} function in topological Yang-Mills theory is also discussed.

• OSTI ID: 6150957
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 42:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EIGENVALUES
FIELD THEORIES
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
INTEGRAL TRANSFORMATIONS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
MATHEMATICS
MELLIN TRANSFORM
PERTURBATION THEORY
QUANTIZATION
QUANTUM FIELD THEORY
QUANTUM OPERATORS
TOPOLOGY
TRANSFORMATIONS
YANG-MILLS THEORY