No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory

In this article we calculate several divergent amplitudes in phi^4-theory on noncommutative space-time in the framework of Interaction Point Time Ordered Perturbation Theory (IPTOPT), continuing work done in hep-th/0209253. On the ground of these results we find corresponding Feynman rules which all...

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Detalles Bibliográficos
Autores principales: Fischer, P, Putz, V
Lenguaje:eng
Publicado: 2003
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1140/epjc/s2003-01396-8
http://cds.cern.ch/record/621214
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author Fischer, P
Putz, V
author_facet Fischer, P
Putz, V
author_sort Fischer, P
collection CERN
description In this article we calculate several divergent amplitudes in phi^4-theory on noncommutative space-time in the framework of Interaction Point Time Ordered Perturbation Theory (IPTOPT), continuing work done in hep-th/0209253. On the ground of these results we find corresponding Feynman rules which allow for a much easier diagrammatic calculation of amplitudes. The most important feature of the present theory is the lack of the UV/IR mixing problem in all amplitudes calculated so far. Though we are not yet able to give a rigorous proof we provide a strong argument for this result to hold in general. Together with the found Feynman rules this opens promising vistas towards the systematic renormalization of noncommutative field theories.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2003
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spelling cern-6212142019-09-30T06:29:59Zdoi:10.1140/epjc/s2003-01396-8http://cds.cern.ch/record/621214engFischer, PPutz, VNo UV/IR Mixing in Unitary Space-Time Noncommutative Field TheoryParticle Physics - TheoryIn this article we calculate several divergent amplitudes in phi^4-theory on noncommutative space-time in the framework of Interaction Point Time Ordered Perturbation Theory (IPTOPT), continuing work done in hep-th/0209253. On the ground of these results we find corresponding Feynman rules which allow for a much easier diagrammatic calculation of amplitudes. The most important feature of the present theory is the lack of the UV/IR mixing problem in all amplitudes calculated so far. Though we are not yet able to give a rigorous proof we provide a strong argument for this result to hold in general. Together with the found Feynman rules this opens promising vistas towards the systematic renormalization of noncommutative field theories.hep-th/0306099CERN-TH-2003-126oai:cds.cern.ch:6212142003-06-11
spellingShingle Particle Physics - Theory
Fischer, P
Putz, V
No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory
title No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory
title_full No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory
title_fullStr No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory
title_full_unstemmed No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory
title_short No UV/IR Mixing in Unitary Space-Time Noncommutative Field Theory
title_sort no uv/ir mixing in unitary space-time noncommutative field theory
topic Particle Physics - Theory
url https://dx.doi.org/10.1140/epjc/s2003-01396-8
http://cds.cern.ch/record/621214
work_keys_str_mv AT fischerp nouvirmixinginunitaryspacetimenoncommutativefieldtheory
AT putzv nouvirmixinginunitaryspacetimenoncommutativefieldtheory

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