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Towards finite quantum field theory in non-commutative geometry

We describe the self-interacting scalar field on the truncated sphere and we perform the quantization using the functional (path) integral approach. The theory posseses a full symmetry with respect to the isometries of the sphere. We explicitely show that the model is finite and the UV-regularizatio...

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Detalles Bibliográficos
Autores principales: Grosse, H., Klimcik, C., Presnajder, P.
Lenguaje:eng
Publicado: 1995
Materias:
Acceso en línea:https://dx.doi.org/10.1007/BF02083810
http://cds.cern.ch/record/282452
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author Grosse, H.
Klimcik, C.
Presnajder, P.
author_facet Grosse, H.
Klimcik, C.
Presnajder, P.
author_sort Grosse, H.
collection CERN
description We describe the self-interacting scalar field on the truncated sphere and we perform the quantization using the functional (path) integral approach. The theory posseses a full symmetry with respect to the isometries of the sphere. We explicitely show that the model is finite and the UV-regularization automatically takes place.
id cern-282452
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1995
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spelling cern-2824522023-03-14T19:28:47Zdoi:10.1007/BF02083810http://cds.cern.ch/record/282452engGrosse, H.Klimcik, C.Presnajder, P.Towards finite quantum field theory in non-commutative geometryParticle Physics - TheoryWe describe the self-interacting scalar field on the truncated sphere and we perform the quantization using the functional (path) integral approach. The theory posseses a full symmetry with respect to the isometries of the sphere. We explicitely show that the model is finite and the UV-regularization automatically takes place.We describe the self-interacting scalar field on the truncated sphere and we perform the quantization using the functional (path) integral approach. The theory posseses a full symmetry with respect to the isometries of the sphere. We explicitely show that the model is finite and the UV-regularization automatically takes place.hep-th/9505175CERN-TH-95-138UWTHPH-19-1995CERN-TH-95-138UWTHPH-1995-19oai:cds.cern.ch:2824521995-05-29
spellingShingle Particle Physics - Theory
Grosse, H.
Klimcik, C.
Presnajder, P.
Towards finite quantum field theory in non-commutative geometry
title Towards finite quantum field theory in non-commutative geometry
title_full Towards finite quantum field theory in non-commutative geometry
title_fullStr Towards finite quantum field theory in non-commutative geometry
title_full_unstemmed Towards finite quantum field theory in non-commutative geometry
title_short Towards finite quantum field theory in non-commutative geometry
title_sort towards finite quantum field theory in non-commutative geometry
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/BF02083810
http://cds.cern.ch/record/282452
work_keys_str_mv AT grosseh towardsfinitequantumfieldtheoryinnoncommutativegeometry
AT klimcikc towardsfinitequantumfieldtheoryinnoncommutativegeometry
AT presnajderp towardsfinitequantumfieldtheoryinnoncommutativegeometry