This article is cited in 6 papers

From Slavnov–Taylor identities to the ZJ equation

Jean Zinn-Justin

Commissariat á l'Energie Atomique et aux Energies Alternatives, Institut de Recherche sur les lois Fondamentales de l'Univers, Centre de Saclay, Gif-sur-Yvette Cedex, France

Abstract: In their work devoted to the proof of the renormalizability of non-Abelian gauge theories in the broken phase, Lee and Zinn-Justin have directly benefited from Slavnov's important contributions. Later generalized in the form of the BRST symmetry, the Slavnov–Taylor identities eventually have led to a remarkable quadratic equation for the renormalized gauge action (sometimes called the Zinn-Justin (ZJ) equation), allowing a completely general proof of renormalizability of non-Abelian gauge theories.

UDC: 530.145

Received in June 2010

Language: English

 English version: Proceedings of the Steklov Institute of Mathematics, 2011, 272, 288–292

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