Non-Uniqueness of Quantized Yang-Mills Theories

• Main Author: Duetsch, Michael
• Format: Journal Article
• Language: English
• Published: 17.06.1996
• Subjects: Physics - High Energy Physics - Theory
• DOI: 10.48550/arxiv.hep-th/9606100

J.Phys.A29:7597-7617,1996 We consider quantized Yang-Mills theories in the framework of causal perturbation theory which goes back to Epstein and Glaser. In this approach gauge invariance is expressed by a simple commutator relation for the S-matrix. The most general coupling which is gauge invariant in first order contains a two-parametric ambiguity in the ghost sector - a divergence- and a coboundary-coupling may be added. We prove (not completely) that the higher orders with these two additional couplings are gauge invariant, too. Moreover we show that the ambiguities of the n-point distributions restricted to the physical subspace are only a sum of divergences (in the sense of vector analysis). It turns out that the theory without divergence- and coboundary-coupling is the most simple one in a quite technical sense. The proofs for the n-point distributions containing coboundary-couplings are given up to third or fourth order only, whereas the statements about the divergence-coupling are proven in all orders.