Regularization, renormalization, and dimensional analysis: Dimensional regularization meets Freshman E&M

We illustrate the dimensional regularization technique using a simple problem from elementary electrostatics. We contrast this approach with the cutoff regularization approach, and demonstrate that dimensional regularization preserves the translational symmetry. We then introduce a Minimal Subtracti...

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Detalles Bibliográficos
Autores principales: Olness, Fredrick, Scalise, Randall
Lenguaje:eng
Publicado: 2008
Materias:
Particle Physics - Phenomenology
Acceso en línea:https://dx.doi.org/10.1119/1.3535586
http://cds.cern.ch/record/1152492
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author Olness, Fredrick
Scalise, Randall
author_facet Olness, Fredrick
Scalise, Randall
author_sort Olness, Fredrick
collection CERN
description We illustrate the dimensional regularization technique using a simple problem from elementary electrostatics. We contrast this approach with the cutoff regularization approach, and demonstrate that dimensional regularization preserves the translational symmetry. We then introduce a Minimal Subtraction (MS) and a Modified Minimal Subtraction (MS-Bar) scheme to renormalize the result. Finally, we consider dimensional transmutation as encountered in the case of compact extra-dimensions.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2008
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spelling cern-11524922020-11-04T03:51:13Zdoi:10.1119/1.3535586http://cds.cern.ch/record/1152492engOlness, FredrickScalise, RandallRegularization, renormalization, and dimensional analysis: Dimensional regularization meets Freshman E&MParticle Physics - PhenomenologyWe illustrate the dimensional regularization technique using a simple problem from elementary electrostatics. We contrast this approach with the cutoff regularization approach, and demonstrate that dimensional regularization preserves the translational symmetry. We then introduce a Minimal Subtraction (MS) and a Modified Minimal Subtraction (MS-Bar) scheme to renormalize the result. Finally, we consider dimensional transmutation as encountered in the case of compact extra-dimensions.arXiv:0812.3578SMU-HEP-08-24CERN-PH-TH-2008-164CERN-PH-TH-2008-164SMU-HEP-08-24oai:cds.cern.ch:11524922008-12-19
spellingShingle Particle Physics - Phenomenology
Olness, Fredrick
Scalise, Randall
Regularization, renormalization, and dimensional analysis: Dimensional regularization meets Freshman E&M
title Regularization, renormalization, and dimensional analysis: Dimensional regularization meets Freshman E&M
title_full Regularization, renormalization, and dimensional analysis: Dimensional regularization meets Freshman E&M
title_fullStr Regularization, renormalization, and dimensional analysis: Dimensional regularization meets Freshman E&M
title_full_unstemmed Regularization, renormalization, and dimensional analysis: Dimensional regularization meets Freshman E&M
title_short Regularization, renormalization, and dimensional analysis: Dimensional regularization meets Freshman E&M
title_sort regularization, renormalization, and dimensional analysis: dimensional regularization meets freshman e&m
topic Particle Physics - Phenomenology
url https://dx.doi.org/10.1119/1.3535586
http://cds.cern.ch/record/1152492
work_keys_str_mv AT olnessfredrick regularizationrenormalizationanddimensionalanalysisdimensionalregularizationmeetsfreshmanem
AT scaliserandall regularizationrenormalizationanddimensionalanalysisdimensionalregularizationmeetsfreshmanem

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