Geometric regularization and gauge invariance in Chern-Simons theories

Journal Article · Mon Jan 20 04:00:00 EST 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92000156· OSTI ID:5368334

Asorey, M ^[1]; Falceto, F ^[2]

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1. Departamento de Fisica Teorica, Universidad de Zaragoza, 50009 Zaragoza (ES)
2. Rutgers--the State Univ., New Brunswick, NJ (United States). Dept. of Mathematics

In this paper some perturbative aspects of Chern-Simons theories are analyzed in a geometric-regularization framework. In particular the authors show that the independence from the gauge condition of the regularized theory, which insures its global meaning, does impose a new constraint on the parameters of the regularization. The condition turns out to be the one that arises in pure or topologically massive Yang-Mills theories in three-dimensional space-times. One-loop calculations show that existence of nonvanishing finite renormalizations of gauge fields and coupling constant which preserve the topological meaning of Chern-Simons theory. The existence of a (finite) gauge-field renormalization at one-loop level is compensated by the renormalization of gauge transformations in such a way that the one-loop effective action remains gauge-invariant with respect to renormalized gauge transformations. The independence of both renormalizations from the space-time volume indicates the topological nature of the theory.

• OSTI ID: 5368334
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:2; ISSN IMPAE; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

661100 -- Classical & Quantum Mechanics-- (1992-)
662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
FIELD THEORIES
GAUGE INVARIANCE
GEOMETRY
INVARIANCE PRINCIPLES
MATHEMATICS
NONLINEAR PROBLEMS
RENORMALIZATION
SPACE-TIME
THREE-DIMENSIONAL CALCULATIONS
TOPOLOGY
WILSON LOOP
YANG-MILLS THEORY