Aspects of the refined Gribov-Zwanziger action in linear covariant gauges
| Autor: | Antonio D. Pereira, Silvio P. Sorella, R. F. Sobreiro, M. A. L. Capri, R. C. Terin, D. Fiorentini |
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| Rok vydání: | 2016 |
| Předmět: |
High Energy Physics - Theory
Physics 010308 nuclear & particles physics Operator (physics) High Energy Physics::Lattice High Energy Physics::Phenomenology General Physics and Astronomy FOS: Physical sciences Yang–Mills existence and mass gap Gauge (firearms) 01 natural sciences BRST quantization Renormalization High Energy Physics::Theory High Energy Physics - Theory (hep-th) 0103 physical sciences Covariant transformation Gauge theory Invariant (mathematics) 010306 general physics Mathematical physics |
| DOI: | 10.48550/arxiv.1607.07912 |
| Popis: | We prove the renormalizability to all orders of a refined Gribov-Zwanziger type action in linear covariant gauges in four-dimensional Euclidean space. In this model, the Gribov copies are taken into account by requiring that the Faddeev-Popov operator is positive definite with respect to the transverse component of the gauge field, a procedure which turns out to be analogous to the restriction to the Gribov region in the Landau gauge. The model studied here can be regarded as the first approximation of a more general nonperturbative BRST invariant formulation of the refined Gribov-Zwanziger action in linear covariant gauges obtained recently in [Phys. Rev. D 92, no. 4, 045039 (2015) and arXiv:1605.02610 [hep-th]]. A key ingredient of the set up worked out in [Phys. Rev. D 92, no. 4, 045039 (2015) and arXiv:1605.02610 [hep-th]] is the introduction of a gauge invariant field configuration $\mathbf{A}_{\mu}$ which can be expressed as an infinite non-local series in the starting gauge field $A_\mu$. In the present case, we consider the approximation in which only the first term of the series representing $\mathbf{A}_{\mu}$ is considered, corresponding to a pure transverse gauge field. The all order renormalizability of the resulting action gives thus a strong evidence of the renormalizability of the aforementioned more general nonperturbative BRST invariant formulation of the Gribov horizon in linear covariant gauges. Comment: 26 pages, no figures, new references added |
| Databáze: | OpenAIRE |
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