Remarks on the renormalization of gauge invariant operators in Yang-Mills theory
M. Henneaux
TL;DR
This paper provides a simplified proof regarding the renormalization of gauge invariant operators in Yang-Mills theory, utilizing antifield formalism and Lie algebra cohomology.
Contribution
It offers a more straightforward proof of a theorem on the renormalization of gauge invariant operators in Yang-Mills theory, based on established mathematical frameworks.
Findings
Simplified proof of the renormalization theorem
Utilizes antifield-antibracket formalism
Employs Lie algebra cohomology results
Abstract
A simplified proof of a theorem by Joglekar and Lee on the renormalization of local gauge invariant operators in Yang-Mills theory is given. It is based on (i) general properties of the antifield-antibracket formalism; and (ii) well-established results on the cohomology of semi-simple Lie algebras.
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