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Axioms for Quantum Yang-Mills Theories -- 1. Euclidean Axioms

Mathematical Physics 2025-04-22 v9 math.MP Quantum Physics

Abstract

This paper extends the notion of Schwinger functions to quantum Yang-Mills theories and proposes the axioms they should satisfy. Two main features of this axiom scheme are that we assume existence of gauge-invariant co-located Schwinger functions and impose physical properties only on them. This is in accordance with the fundamental principle of gauge theories that only gauge-invariant quantities can be physical observables.

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Cite

@article{arxiv.2112.08575,
  title  = {Axioms for Quantum Yang-Mills Theories -- 1. Euclidean Axioms},
  author = {Min Chul Lee},
  journal= {arXiv preprint arXiv:2112.08575},
  year   = {2025}
}

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