Non-Abelian topological mass generation in four dimensions

Journal Article · Wed Jan 01 04:00:00 EST 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532005· OSTI ID:435139

Hwang, D S; Lee, C ^[1]

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1. Department of Physics, Sejong University, Seoul 143-747 (Korea)

We study the topological mass generation in the 4 dimensional non-Abelian gauge theory, which is the extension of Allen {ital et al.}{close_quote}s work in the Abelian theory. It is crucial to introduce a one form auxiliary field in constructing the gauge invariant non-Abelian action which contains both the one form vector gauge field A and the two form antisymmetric tensor field B. As in the Abelian case, the topological coupling mBANDF, where F is the field strength of A, makes the transmutation among A and B possible, and consequently we see that the gauge field becomes massive. We find the BRST/anti-BRST transformation rule using the horizontality condition, and construct a BRST/anti-BRST invariant quantum action. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 435139
• Journal Information: Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 1 Vol. 38; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
ACTION INTEGRAL
GAUGE INVARIANCE
KLEIN-GORDON EQUATION
MASS
QUANTIZATION
QUANTUM FIELD THEORY
TOPOLOGY
YANG-MILLS THEORY