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Nuclear Physics B244 (1984) 454-468 North-Holland Publishing Company
 

Summary: Nuclear Physics B244 (1984) 454-468
North-Holland Publishing Company
INFRARED DIVERGENCES AND A NON-LOCAL GAUGE
FOR SUPERSPACE YANG-MILLS THEORY
L.F. ABBOT171 and M.T. GRISARU2
Physics Department, Brandeis University, Waltham, MA 02254, USA
D. ZANON3
Lyman Laboratory of Physics, Harvard University, Cambridge, MA 02138, USA
Received 24 April 1984
The usual superspace approach to supersymmetric gauge theories suffers from problems with
infrared divergences which greatly complicate multiloop calculations. We eliminate these divergen-
ces by introducing a non-local gauge-fixing term. In the background field method this term leads
to unusual quantum-background interactions. Functional methods are presented for dealing with
these interactions. As an example we compute the two-loop Yang-Mills E-function using the
background field method in superspace. We also show how a non-local gauge can be used in
ordinary, non-supersymmetric Yang-Mills theory.
1. Introduction
Supergraph techniques provide an elegant and powerful approach to perturbative
calculations in supersymmetdc field theories. In the case of supersymmetric gauge
theories, supergraph techniques can be combined with the background-field method

  

Source: Abbott, Laurence - Center for Neurobiology and Behavior & Department of Physiology and Cellular Biophysics, Columbia University

 

Collections: Biology and Medicine