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SU-4238-446 Topological Mass Generation in 3+1 Dimensions

Summary: SU-4238-446
Topological Mass Generation in 3+1 Dimensions
Theodore J. Allen, Mark J. Bowick and Amitabha Lahiri
Department of Physics
Syracuse University
Syracuse, NY 13244-1130
The four-dimensional theory of a 1-form abelian gauge field A coupled to a 2-form
(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 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.
Email Addresses : tjallen, bowick and lahiri@suhep.phy.syr.edu
1. Introduction
Although gauge-invariance 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


Source: Allen, Theodore J. - Physics Department, Hobart and William Smith Colleges


Collections: Physics