Nonabelian Gauge Symmetry in the Causal Epstein-Glaser Approach

Details Nonabelian Gauge Symmetry in the Causal Epstein-Glaser Approach Nonabelian Gauge Symmetry in the Causal Epstein-Glaser Approach

1995-11-20

arxiv.org/abs/hep-th/9511139v1

Int.J.Mod.Phys. A12 (1997) 4461-4476

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, latex-file, no figures

Scientific paper

10.1142/S0217751X97002437

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.

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