On finite 4D quantum field theory in non-commutative geometry

The truncated 4-dimensional sphere S^4 and the action of the self-interacting scalar field on it are constructed. The path integral quantization is performed while simultaneously keeping the SO(5) symmetry and the finite number of the degrees of freedom. The usual field theory UV-divergencies are ma...

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Detalles Bibliográficos
Autores principales: Grosse, H., Klimcik, C., Presnajder, P.
Lenguaje:eng
Publicado: 1996
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1007/BF02099720
http://cds.cern.ch/record/297014
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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 The truncated 4-dimensional sphere S^4 and the action of the self-interacting scalar field on it are constructed. The path integral quantization is performed while simultaneously keeping the SO(5) symmetry and the finite number of the degrees of freedom. The usual field theory UV-divergencies are manifestly absent.
id cern-297014
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1996
record_format invenio
spelling cern-2970142023-03-14T19:29:37Zdoi:10.1007/BF02099720http://cds.cern.ch/record/297014engGrosse, H.Klimcik, C.Presnajder, P.On finite 4D quantum field theory in non-commutative geometryParticle Physics - TheoryThe truncated 4-dimensional sphere S^4 and the action of the self-interacting scalar field on it are constructed. The path integral quantization is performed while simultaneously keeping the SO(5) symmetry and the finite number of the degrees of freedom. The usual field theory UV-divergencies are manifestly absent.The truncated 4-dimensional sphere $S~4$ and the action of the self-interacting scalar field on it are constructed. The path integral quantization is performed while simultaneously keeping the SO(5) symmetry and the finite number of the degrees of freedom. The usual field theory UV-divergencies are manifestly absent.hep-th/9602115CERN-TH-96-51IHES-P-96-12UWTHPH-14-1996CERN-TH-96-051IHES-P-96-12UWTHPH-1996-14oai:cds.cern.ch:2970141996-02-21
spellingShingle Particle Physics - Theory
Grosse, H.
Klimcik, C.
Presnajder, P.
On finite 4D quantum field theory in non-commutative geometry
title On finite 4D quantum field theory in non-commutative geometry
title_full On finite 4D quantum field theory in non-commutative geometry
title_fullStr On finite 4D quantum field theory in non-commutative geometry
title_full_unstemmed On finite 4D quantum field theory in non-commutative geometry
title_short On finite 4D quantum field theory in non-commutative geometry
title_sort on finite 4d quantum field theory in non-commutative geometry
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/BF02099720
http://cds.cern.ch/record/297014
work_keys_str_mv AT grosseh onfinite4dquantumfieldtheoryinnoncommutativegeometry
AT klimcikc onfinite4dquantumfieldtheoryinnoncommutativegeometry
AT presnajderp onfinite4dquantumfieldtheoryinnoncommutativegeometry

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