On the Uniqueness of the Non-Abelian Gauge Theories in Epstein-Glaser Approach to Renormalisation Theory

Abstract

We generalise a result of Aste and Scharf saying that, under some reasonable assumptions, consistent with renormalisation theory, the non-Abelian gauge theories describes the only possibility of coupling the gluons. The proof is done using Epstein-Glaser approach to renormalisation theory.

arXiv commentPart of subsection 3.2 rewritten, other minor corrections

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• On the Quantization of the Gravitational Field
• The Interaction of Quantum Gravity with Matter
• Anti-BRST in the Causal Approach
• The Renormalization of the Non-Abelian Gauge Theories in the Causal Approach