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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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Lenguaje: | eng |
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1995
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Acceso en línea: | http://cds.cern.ch/record/291763 |
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author | Becchi, Carlo M. Imbimbo, Camillo |
author_facet | Becchi, Carlo M. Imbimbo, Camillo |
author_sort | Becchi, Carlo M. |
collection | CERN |
description | 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. |
id | cern-291763 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1995 |
record_format | invenio |
spelling | cern-2917632023-03-14T16:34:53Zhttp://cds.cern.ch/record/291763engBecchi, Carlo M.Imbimbo, CamilloA lagrangian formulation of 2-dimensional topological gravity and Cech-de Rham cohomologyParticle Physics - TheoryWe 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.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.hep-th/9511156GEF-TH-95-13GEF-TH-95-13oai:cds.cern.ch:2917631995-11-22 |
spellingShingle | Particle Physics - Theory Becchi, Carlo M. Imbimbo, Camillo A lagrangian formulation of 2-dimensional topological gravity and Cech-de Rham cohomology |
title | A lagrangian formulation of 2-dimensional topological gravity and Cech-de Rham cohomology |
title_full | A lagrangian formulation of 2-dimensional topological gravity and Cech-de Rham cohomology |
title_fullStr | A lagrangian formulation of 2-dimensional topological gravity and Cech-de Rham cohomology |
title_full_unstemmed | A lagrangian formulation of 2-dimensional topological gravity and Cech-de Rham cohomology |
title_short | A lagrangian formulation of 2-dimensional topological gravity and Cech-de Rham cohomology |
title_sort | lagrangian formulation of 2-dimensional topological gravity and cech-de rham cohomology |
topic | Particle Physics - Theory |
url | http://cds.cern.ch/record/291763 |
work_keys_str_mv | AT becchicarlom alagrangianformulationof2dimensionaltopologicalgravityandcechderhamcohomology AT imbimbocamillo alagrangianformulationof2dimensionaltopologicalgravityandcechderhamcohomology AT becchicarlom lagrangianformulationof2dimensionaltopologicalgravityandcechderhamcohomology AT imbimbocamillo lagrangianformulationof2dimensionaltopologicalgravityandcechderhamcohomology |