 
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 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 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
