Some non-renormalization theorems in Curci-Ferrari model

Abstract

In the present letter, a particular form of Slavnov-Taylor identities for the Curci-Ferrari model is deduced. This model consist of Yang-Mills theory in a particular non-linear covariant gauge, supplemented with mass terms for gluons and ghosts. It can be used as a regularization for the Yang-Mills theory preserving simple Slavnov-Taylor identities. Employing these identities two non-renormalization theorems are proved that reduce the number of independent renormalization factors from five to three. These new relations are verified by comparing to the already known three-loops renormalization factors. These relations include, as a particular case, the corresponding known identities in Yang-Mills theory in Landau gauge.

14 pages, some references added, some improvement in explanations and some misprints corrected

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• Covariant gauges without Gribov ambiguities in Yang-Mills theories
• Yang-Mills correlators at finite temperature: A perturbative perspective
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• Gluon confinement, i-particles and BRST soft breaking
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• Influence of Gribov ambiguities in a class of nonlinear covariant gauges
• Spurious divergences in Dyson-Schwinger equations
• Complex poles and spectral functions of Landau gauge QCD and QCD-like theories
• Spontaneous chiral symmetry breaking in the massive Landau gauge: realistic running coupling
• Two-loop three-gluon vertex from the Curci-Ferrari model and its leading infrared behavior to all loop orders
• Calculation of the non-perturbative strong coupling from first principles
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• A Superspace formulation of Yang-Mills theory on sphere
• One-loop unquenched three-gluon and ghost-gluon vertex in the Curci-Ferrari model
• Perturbative aspects of the deconfinement transition -- Physics beyond the Faddeev-Popov model
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