Nonabelian Gauge Symmetry in the Causal Epstein-Glaser Approach

Abstract

We present some generalizations of a recently proposed alternative approach to nonabelian gauge theories based on the causal Epstein-Glaser method in perturbative quantum field theory. Nonabelian gauge invariance is defined by a simple commutator relation in every order of perturbation theory separately using only the linear (abelian) BRS-transformations of the asymptotic fields. This condition is sufficient for the unitarity of the S-matrix in the physical subspace. We derive the most general specific coupling compatible with the conditions of nonabelian gauge invariance and normalizability. We explicitly show that the quadrilinear terms, the four-gluon-coupling and the four-ghost-coupling, are generated by our linear condition of nonabelian gauge invariance. Moreover, we work out the required generalizations for linear gauges.

arXiv comment32 pages, latex-file, no figures

References in corpus (3)

• A Note on Slavnov-Taylor Identities in the Causal Epstein-Glaser Approach
• Nonabelian Gauge Theories: The Causal Approach
• Gauge invariance of massless QED

Cited by in corpus (6)

• Renormalized Quantum Yang-Mills Fields in Curved Spacetime
• Quantum Noether Method
• Cohomological analysis of gauged-fixed gauge theories
• The Standard Model and its Generalisations in Epstein-Glaser Approach to Renormalisation Theory
• Gauge Independence of the S-Matrix in the Causal Approach
• Comments on the Gauge Fixed BRST Cohomology and the Quantum Noether Method