Physically meaningful and not so meaningful symmetries in Chern-Simons theory

We explicitly show that the Landau gauge supersymmetry of Chem-Simons theory does not have any physical significance. In fact, the difference between an effective action that is both Becchi-Rouet-Stora (BRS) invariant and Landau supersymmetric and an effective action that is only BRS invariant is a...

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Detalles Bibliográficos
Autores: Ruiz Ruiz, Fernando, Martin, C.P., Giavarini, G;
Tipo de recurso: artículo
Fecha de publicación:1993
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/59043
Acceso en línea:https://hdl.handle.net/20.500.14352/59043
Access Level:acceso abierto
Palabra clave:53
Field-Theory
Dimensional Regularization
Landau Gauge
Renormalization
Supersymmetry
Física (Física)
22 Física
Descripción
Sumario:We explicitly show that the Landau gauge supersymmetry of Chem-Simons theory does not have any physical significance. In fact, the difference between an effective action that is both Becchi-Rouet-Stora (BRS) invariant and Landau supersymmetric and an effective action that is only BRS invariant is a finite field redefinition. Having established this, we use a BRS-invariant regulator that defines CS theory as the large mass limit of topologically massive Yang-Mills theory to discuss the shift k-->k+c(v) of the bare Chern-Simons parameter k in connection with the Landau supersymmetry. Finally, to convince ourselves that the shift above is not an accident of our regularization method, we comment on the fact that all BRS-invariant regulators used as yet yield the same value for the shift.