From Slavnov-Taylor identities to the ZJ equation

@article{ZinnJustin2011FromSI,
  title={From Slavnov-Taylor identities to the ZJ equation},
  author={Jean Zinn-Justin},
  journal={Proceedings of the Steklov Institute of Mathematics},
  year={2011},
  volume={272},
  pages={288-292}
}
  • J. Zinn-Justin
  • Published 3 May 2011
  • Physics
  • Proceedings of the Steklov Institute of Mathematics
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… 
View on Springer
ipht.fr
11 Citations
Highly Influential Citations
1
Background Citations
2
Methods Citations
2

11 Citations

From Slavnov—Taylor Identities to the Renormalization of Gauge Theories
An important, and highly non-trivial, problem is proving the renormalizability and unitarity of quantized non-Abelian gauge theories. Lee and Zinn-Justin have given the first proof of the…
Aspects of confinement in Yang-Mills theories
We investigate Yang-Mills theories. In particular, we follow a recently proposed new gauge-fixing procedure that aims at dealing with the presence of the so-called Gribov copies. These copies…
Chiral SUSY Theories with a Suppressed SUSY Charge
SUSY Invariants from the BRST Cohomology of the SOSO Model
The SOSO action is an irreducible action for a complex massive superspin one half representation of SUSY, made from spin one half superfields. The theory requires `BRST recycling' to find appropriate…
Genuine and effective actions, the Master Equation and Suppressed SUSY
Suppressed SUSY and the Cosmological Constant.
Rigid SUSY with gauge symmetry has a simple form for the Higgs potential. It is the positive semi--definite sum of the squares of the auxiliary fields. Setting the potential to zero yields a set of…
An irreducible massive superspin one half action built from the chiral dotted spinor superfield
The 1.5 Order Formalism does not Generate a Valid BRS Transformation for Supergravity
The 1.5 order formalism (sometimes called a ‘trick’) is the cornerstone of modern supergravity. In this paper, the free massive Wess Zumino theory is used as a simple toy model to look at the BRS…
Frozen SUSY with Susyons as the Dark Matter
Frozen SUSY is the maximally suppressed Supersymmetric SU(5) Grand Unified Theory coupled to Supergravity. In Frozen SUSY, there is only one extra particle in addition to those that appear in the…
The Basic Mechanism for Suppressed SUSY
...
...

References

SHOWING 1-10 OF 30 REFERENCES
RENORMALIZATION OF GAUGE THEORIES AND MASTER EQUATION
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…
Renormalization of gauge theories
Renormalization of gauge invariant operators and anomalies in Yang-Mills theory.
A long-standing conjecture on the structure of renormalized, gauge invariant, integrated operators of arbitrary dimension in Yang-Mills theory is established. The general solution of the consistency…
Gauge Invariance in Field Theory and Statistical Physics in Operator Formalism
We obtain the Ward identities and the gauge-dependence of Green's functions in non-Abelian gauge theories by using only the canonical commutation relations and the equations of motion for the…
Ward identities and charge renormalization of the Yang-Mills field
Spontaneously Broken Gauge Symmetries. I. Preliminaries
This is the first of a series of papers addressed to the renormalizability question of spontaneously broken gauge theories. We give a brief outline of the motivation for such an investigation and…
Ward identities and some clues to the renormalization of gauge-invariant operators
The problem of the renormalization of gauge-invariant operators in the non-Abelian Yang-Mills theory is tackled through the study of a specific example, F/sub mu//sub nu/$sup 2$, for which the…
Renormalization and Stochastic Quantization
Local BRST cohomology in the antifield formalism: II. Application to Yang-Mills theory
Yang-Mills models with compact gauge group coupled to matter fields are considered. The general tools developed in a companion paper are applied to compute the local cohomology of the BRST…
Spontaneously Broken Gauge Symmetries. III. Equivalence
We discuss the equivalence of the $S$ matrix in the $R$- and $U$-gauge formulations of spontaneously broken gauge theories. We give definitions of the $U$-gauge Green's functions in terms of the…
...
...