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J. Phys. A: Math. Gen. 31 (1998) 15631579. Printed in the UK PII: S0305-4470(98)88395-9 Gauge independence of the S-matrix in the causal
 

Summary: J. Phys. A: Math. Gen. 31 (1998) 1563­1579. Printed in the UK PII: S0305-4470(98)88395-9
Gauge independence of the S-matrix in the causal
approach
Andreas Aste, G¨unter Scharf and Michael D¨utsch
Institut f¨ur Theoretische Physik der Universit¨at Z¨urich, Winterthurerstrasse 190, CH-8057
Z¨urich, Switzerland
Institut f¨ur Theoretische Physik, Universit¨at Hamburg, Luruper Chaussee 149, D-22761
Hamburg, Germany
Received 14 October 1997
Abstract. The gauge dependence of the time-ordered products for Yang­Mills theories is
analysed in perturbation theory by means of the causal method of Epstein and Glaser together
with perturbative gauge invariance. This approach allows a simple inductive proof of the gauge
independence of the physical S-matrix.
1. Introduction
The properties of (quantum) gauge invariance and gauge-parameter independence, which
are inherent in all kinds of gauge theories, have always been of great interest. In the
calculation of physical observables, i.e. S-matrix elements, the question of gauge parameter
independence arises automatically. In the usual Lagrangian approach to quantum field
theory, the gauge invariance of the classical Lagrangian has to be broken in order to quantize
the theory. Therefore, gauge fixing terms which depend on free gauge parameters are added

  

Source: Aste, Andreas - Institut für Physik, Universität Basel

 

Collections: Physics