Renormalization of gauge theories and master equation
Jean Zinn-Justin (CEA-Saclay, Service de Physique Theorique)

TL;DR
This paper reviews the historical development of renormalization proofs for gauge theories, highlighting the transition from Slavnov--Taylor identities to BRS symmetry and the master equation.
Contribution
It provides a comprehensive overview of the evolution of methods used to establish the renormalizability of gauge theories, emphasizing the modern approach based on the master equation.
Findings
Historical progression from Slavnov--Taylor identities to BRS symmetry
Modern proof of renormalizability using the master equation
Insights into the development of gauge theory renormalization
Abstract
The evolution of ideas which has led from the first proofs of the renormalizability of non-abelian gauge theories, based on Slavnov--Taylor identities, to the modern proof based on the BRS symmetry and the master equation is recalled. This lecture has been delivered at the {\bf Symposium in the Honour of Professor C. N. Yang}, Stony-Brook, May 21-22 1999.
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