 
Summary: SU4238446
10/90
Topological Mass Generation in 3+1 Dimensions
Theodore J. Allen, Mark J. Bowick and Amitabha Lahiri
Department of Physics
Syracuse University
Syracuse, NY 132441130
Abstract
The fourdimensional theory of a 1form abelian gauge field A coupled to a 2form
(antisymmetric tensor) potential B is studied. The two gauge invariances of the theory
admit a coupling mBF where F is the field strength (F = dA) of A. It is shown that this
theory is a unitary, renormalizable theory of a massive spinone 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 (ChernSimons
theory). The issue of spontaneous symmetry breaking is also examined.
Email Addresses : tjallen, bowick and lahiri@suhep.phy.syr.edu
1. Introduction
Although gaugeinvariance is usually associated with masslessness of the correspond
ing gauge field there are several mechanisms known for generating massive gauge fields
consistent with gauge invariance. In two dimensions the Schwinger model of quantum
