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Title: Topological mass generation in 3 + 1 dimensions

Abstract

In this paper, the 4-dimensional theory of a 1-form Abelian gauge field A coupled to a 2-form (antisymmetric tensor) potential B. The two gauge invariances of the theory admit a coupling mB F where F is the field strength (F = dA) of A. It is shown that this theory is a unitary, renormalizable theory of a massive spin-one field with no additional degrees of freedom. In this sense, it is a generalization to four dimensions of topological mechanisms in two dimensions (the Schwinger model) and three dimensions (Chern-Simons theory). The issue of spontaneous symmetry breaking is also examined.

Authors:
; ;  [1]
  1. (Syracuse Univ., NY (United States). Dept. of Physics)
Publication Date:
OSTI Identifier:
5006573
Resource Type:
Journal Article
Resource Relation:
Journal Name: Modern Physics Letters A; (United States); Journal Volume: 6:7
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; FIELD THEORIES; GAUGE INVARIANCE; COUPLING; FOUR-DIMENSIONAL CALCULATIONS; POTENTIALS; RENORMALIZATION; SYMMETRY BREAKING; TOPOLOGY; INVARIANCE PRINCIPLES; MATHEMATICS; 645300* - High Energy Physics- Particle Invariance Principles & Symmetries; 645400 - High Energy Physics- Field Theory

Citation Formats

Allen, T.J., Bowick, M.J., and Lahiri, A. Topological mass generation in 3 + 1 dimensions. United States: N. p., 1991. Web. doi:10.1142/S0217732391000580.
Allen, T.J., Bowick, M.J., & Lahiri, A. Topological mass generation in 3 + 1 dimensions. United States. doi:10.1142/S0217732391000580.
Allen, T.J., Bowick, M.J., and Lahiri, A. Thu . "Topological mass generation in 3 + 1 dimensions". United States. doi:10.1142/S0217732391000580.
@article{osti_5006573,
title = {Topological mass generation in 3 + 1 dimensions},
author = {Allen, T.J. and Bowick, M.J. and Lahiri, A.},
abstractNote = {In this paper, the 4-dimensional theory of a 1-form Abelian gauge field A coupled to a 2-form (antisymmetric tensor) potential B. The two gauge invariances of the theory admit a coupling mB F where F is the field strength (F = dA) of A. It is shown that this theory is a unitary, renormalizable theory of a massive spin-one field with no additional degrees of freedom. In this sense, it is a generalization to four dimensions of topological mechanisms in two dimensions (the Schwinger model) and three dimensions (Chern-Simons theory). The issue of spontaneous symmetry breaking is also examined.},
doi = {10.1142/S0217732391000580},
journal = {Modern Physics Letters A; (United States)},
number = ,
volume = 6:7,
place = {United States},
year = {Thu Mar 07 00:00:00 EST 1991},
month = {Thu Mar 07 00:00:00 EST 1991}
}