Renormalizability of the linearly broken formulation of the BRST symmetry in the presence of the Gribov horizon in Landau gauge Euclidean Yang-Mills theories
- Departamento de Fisica, Grupo de Fisica Teorica e Matematica Fisica, UFRRJ-Universidade Federal Rural do Rio de Janeiro, BR 465-07, 23890-971, Seropedica, Rio de Janeiro (Brazil)
- Instituto de Fisica, Departamento de Fisica Teorica, UERJ-Universidade do Estado do Rio de Janeiro, Rua Sao Francisco Xavier 524, 20550-013 Maracana, Rio de Janeiro, Rio de Janeiro (Brazil)
In previous work by M. A. L. Capri, A. J. Gomez, M. S. Guimaraes, V. E. R. Lemes, S. P. Sorella, and D. G. Tedesco [Phys. Rev. D 82, 105019 (2010)], we have shown that the soft breaking of the Becchi-Rouet-Stora-Tyutin (BRST) symmetry arising within the Gribov-Zwanziger framework can be converted into a linear breaking, while preserving the nilpotency of the BRST operator. Because of 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 nonrenormalization theorem of the gluon-ghost-antighost vertex, as well as the renormalization factor of the Gribov parameter, are derived within the linearly broken formulation.
- OSTI ID:
- 21502624
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 83, Issue 10; Other Information: DOI: 10.1103/PhysRevD.83.105001; (c) 2011 American Institute of Physics; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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