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Axioms for Quantum Yang-Mills Theories -- 2. Minkowski Axioms

Mathematical Physics 2025-04-15 v5 math.MP

Abstract

This paper presents the axioms for a quantum Yang-Mills theory in the Minkowski spacetime. There are two routes of analytic continuation for the Schwinger functions, namely the Wightman functions and time-ordered products of field operators. We check consistency of these two axiom schemes and reproduce some known existing results, including the indefinite metric and BV formalisms.

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Cite

@article{arxiv.2401.13899,
  title  = {Axioms for Quantum Yang-Mills Theories -- 2. Minkowski Axioms},
  author = {Min Chul Lee},
  journal= {arXiv preprint arXiv:2401.13899},
  year   = {2025}
}

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