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Renormalizability of gauge theories in extra dimensions
We analyze the possibility of nonperturbative renormalizability of gauge theories in D > 4 dimensions. We develop a scenario, based on Weinberg's idea of asymptotic safety, that allows for renormalizability in extra dimensions owing to a non-Gaussian ultraviolet stable fixed point. Our scena...
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Lenguaje: | eng |
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2003
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Acceso en línea: | https://dx.doi.org/10.1103/PhysRevD.68.085015 http://cds.cern.ch/record/618173 |
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author | Gies, Holger |
author_facet | Gies, Holger |
author_sort | Gies, Holger |
collection | CERN |
description | We analyze the possibility of nonperturbative renormalizability of gauge theories in D > 4 dimensions. We develop a scenario, based on Weinberg's idea of asymptotic safety, that allows for renormalizability in extra dimensions owing to a non-Gaussian ultraviolet stable fixed point. Our scenario predicts a critical dimension D_cr beyond which the UV fixed point vanishes, such that renormalizability is possible for D <= D_cr. Within the framework of exact RG equations, the critical dimension for various SU(N) gauge theories can be computed to lie near five dimensions: 5 ~< D_cr < 6. Therefore, our results exclude nonperturbative renormalizability of gauge theories in D=6 and higher dimensions. |
id | cern-618173 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2003 |
record_format | invenio |
spelling | cern-6181732021-07-15T03:30:33Zdoi:10.1103/PhysRevD.68.085015http://cds.cern.ch/record/618173engGies, HolgerRenormalizability of gauge theories in extra dimensionsParticle Physics - TheoryWe analyze the possibility of nonperturbative renormalizability of gauge theories in D > 4 dimensions. We develop a scenario, based on Weinberg's idea of asymptotic safety, that allows for renormalizability in extra dimensions owing to a non-Gaussian ultraviolet stable fixed point. Our scenario predicts a critical dimension D_cr beyond which the UV fixed point vanishes, such that renormalizability is possible for D <= D_cr. Within the framework of exact RG equations, the critical dimension for various SU(N) gauge theories can be computed to lie near five dimensions: 5 ~< D_cr < 6. Therefore, our results exclude nonperturbative renormalizability of gauge theories in D=6 and higher dimensions.We analyze the possibility of nonperturbative renormalizability of gauge theories in D > 4 dimensions. We develop a scenario, based on Weinberg's idea of asymptotic safety, that allows for renormalizability in extra dimensions owing to a non-Gaussian ultraviolet stable fixed point. Our scenario predicts a critical dimension D_cr beyond which the UV fixed point vanishes, such that renormalizability is possible for D <= D_cr. Within the framework of exact RG equations, the critical dimension for various SU(N) gauge theories can be computed to lie near five dimensions: 5 ~< D_cr < 6. Therefore, our results exclude nonperturbative renormalizability of gauge theories in D=6 and higher dimensions.hep-th/0305208CERN-TH-2003-078HD-THEP-03-17CERN-TH-2003-078HD-THEP-2003-17oai:cds.cern.ch:6181732003-05-23 |
spellingShingle | Particle Physics - Theory Gies, Holger Renormalizability of gauge theories in extra dimensions |
title | Renormalizability of gauge theories in extra dimensions |
title_full | Renormalizability of gauge theories in extra dimensions |
title_fullStr | Renormalizability of gauge theories in extra dimensions |
title_full_unstemmed | Renormalizability of gauge theories in extra dimensions |
title_short | Renormalizability of gauge theories in extra dimensions |
title_sort | renormalizability of gauge theories in extra dimensions |
topic | Particle Physics - Theory |
url | https://dx.doi.org/10.1103/PhysRevD.68.085015 http://cds.cern.ch/record/618173 |
work_keys_str_mv | AT giesholger renormalizabilityofgaugetheoriesinextradimensions |