Study of the Gribov region in Euclidean Yang-Mills theories in the maximal Abelian gauge

Journal Article · Thu Jan 15 00:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.79.025019· OSTI ID:21259845

Capri, M A. L.; Gomez, A J; Lemes, V E. R.; Sobreiro, R F; Sorella, S P ^[1]

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1. UERJ-Universidade do Estado do Rio de Janeiro, Instituto de Fisica-Departamento de Fisica Teorica, Rua Sao Francisco Xavier 524, 20550-013 Maracana, Rio de Janeiro (Brazil)

The properties of the Gribov region in SU(2) Euclidean Yang-Mills theories in the maximal Abelian gauge are investigated. This region turns out to be bounded in all off-diagonal directions, while it is unbounded along the diagonal one. The soft breaking of the Becchi-Rouet-Stora-Tyutin invariance due to the restriction of the domain of integration in the path integral to the Gribov region is scrutinized. Owing to the unboundedness in the diagonal direction, the invariance with respect to Abelian transformations is preserved, a property which is at the origin of the local U(1) Ward identity of the maximal Abelian gauge.

• OSTI ID: 21259845
• Journal Information: Physical Review. D, Particles Fields, Vol. 79, Issue 2; Other Information: DOI: 10.1103/PhysRevD.79.025019; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EUCLIDEAN SPACE
GAUGE INVARIANCE
SU-2 GROUPS
TRANSFORMATIONS
U-1 GROUPS
UNIFIED GAUGE MODELS
WARD IDENTITY
YANG-MILLS THEORY