Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories

A. J. Gomez; D. G. Tedesco; M. A. L. Capri; M. S. Guimaraes; S. P. Sorella; V. E. R. Lemes

Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories

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arxiv 1102.5695 v2 pith:2JDL3XEB submitted 2011-02-28 hep-th hep-lathep-ph

Renormalizability of the linearly broken formulation of the BRST symmetry in presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories

M. A. L. Capri , A. J. Gomez , M. S. Guimaraes , V. E. R. Lemes , S. P. Sorella , D. G. Tedesco This is my paper

classification hep-th hep-lathep-ph

keywords brstbrokengribov-zwanzigerlinearlysymmetrybreakingformulationgribov

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In previous work arXiv:1009.4135 we have shown that the soft breaking of the BRST symmetry arising within the Gribov-Zwanziger framework can be converted into a linear breaking, while preserving the nilpotency of the BRST operator. Due to its compatibility with the Quantum Action Principle, the linearly broken BRST symmetry directly translates into a set of Slavnov-Taylor identities. We show that these identities guarantee the multiplicative renormalizability of both Gribov-Zwanziger and Refined Gribov-Zwanziger theories to all orders. The known property that only two renormalization factors are needed is recovered. The non-renormalization theorem of the gluon-ghost-antighost vertex as well as the renormalization factor of the Gribov parameter are derived within the linearly broken formulation.

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