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A lagrangian formulation of 2-dimensional topological gravity and Cech-de Rham cohomology

We present a very simplified analysis of how one can overcome the Gribov problem in a non-abelian gauge theory. Our formulae, albeit quite simplified, show that possible breakdowns of the Slavnov-Taylor identity could in principle come from singularities in space of gauge orbits. To test these ideas...

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Detalles Bibliográficos
Autores principales: Becchi, Carlo M., Imbimbo, Camillo
Lenguaje:eng
Publicado: 1995
Materias:
Acceso en línea:http://cds.cern.ch/record/291763
Descripción
Sumario:We present a very simplified analysis of how one can overcome the Gribov problem in a non-abelian gauge theory. Our formulae, albeit quite simplified, show that possible breakdowns of the Slavnov-Taylor identity could in principle come from singularities in space of gauge orbits. To test these ideas we exhibit the calculation of a very simple correlation function of 2-dimensional topological gravity and we show how in this model the singularities of the moduli space induce a breakdown of the Slavnov-Taylor identity. We comment on the technical relevance of the possibility of including the singularities into a finite number of cells of the moduli space.