Topological mass generation in non-abelian gauge theory -- geometric BRST quantization approach
type: Item
instance of: scholarly article
title: Topological mass generation in non-abelian gauge theory -- geometric BRST quantization approach
zbMATH Open document ID: 0897.53055
DOI: 10.1016/S0034-4877(97)85922-8
author: Chang-Yeong Lee
published in: Reports on Mathematical Physics
publication date: 1998-09-28T00:00:00Z
review text: The author extends the topological mass mechanism in four dimensions to the non-Abelian case. In order to implement this generalization he makes use of the BRST formalism. By incorporating a one-form auxiliary field, the author extends the abelian action for topological mass generation in four dimensions to the non-Abelian case. This one-form auxiliary field is essential in constructing the gauge invariant kinetic action for the antisymmetric tensor field, and also in finding a consistent BRST/anti-BRST symmetry for the theory which contains one-form gauge and two-form antisymmetric tensor fields. As in the abelian case, the topological coupling \(mB\wedge F\), where \(F\) is the field strength of \(A\), makes the transmutation among \(A\) and \(B\) (\(B\) is the second rank antisymmetric tensor field) possible, and consequently one can see that the gauge field becomes massive. The BRST/anti-BRST transformation rule is found by means of the horizontality condition. The author also constructs a BRST/anti-BRST invariant quantum action.
Mathematics Subject Classification ID: 81T70
Mathematics Subject Classification ID: 81T13
zbMATH DE Number: 1158207
zbMATH Keywords: BRST/anti-BRST formalism
zbMATH Keywords: gauge theory
zbMATH Keywords: horizontality condition
reviewed by: Viktor Abramov
MaRDI profile type: Publication
cites work: Exterior gauging of an internal supersymmetry and SU (2/1) quantum asthenodynamics
cites work: Geometrical structure of Faddeev–Popov fields and invariance properties of gauge theories
cites work: Topological Yang–Mills theory from non-commutative geometry
full work available at URL: s0034-4877(97)85922-8
OpenAlex ID: W2011802607
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description: scientific article; zbMATH DE number 1158207