Flow-gauge Slavnov-Taylor identities for Zwanziger's gauge fixing

The generalization of the Slavnov-Taylor identities for the stochastically quantized Yang-Mills field theory with either Zwanziger gauge fixing or, equivalently, Faddeev-Popov Bow-gauge fixing in one higher dimension is presented. Those exact relationships among Green’s functions in the stochastical...

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Detalles Bibliográficos
Autores: Fernández Álvarez-Estrada, Ramón, Muñoz Sudupe, Antonio
Tipo de recurso: artículo
Fecha de publicación:1988
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59852
Acceso en línea:https://hdl.handle.net/20.500.14352/59852
Access Level:acceso abierto
Palabra clave:53
Astronomy and astrophysics
Physics
particles and fields
Física (Física)
22 Física
Descripción
Sumario:The generalization of the Slavnov-Taylor identities for the stochastically quantized Yang-Mills field theory with either Zwanziger gauge fixing or, equivalently, Faddeev-Popov Bow-gauge fixing in one higher dimension is presented. Those exact relationships among Green’s functions in the stochastically quantized theory are derived by extending suitably Slavnov's method. As a consequence there is no renormalization of the longitudinal part of Green’s functions in α=0, to all perturbative orders. Based on the general identities, the divergent longitudinal part of the two-point Green’s function is calculated to second order for α= 1, and it is found to agree with other independent calculations.