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Renormalizable extra-dimensional models

Renormalizable extra-dimensional models
Renormalizable extra-dimensional models
Non-Abelian gauge theories may have continuum limits in more than four dimensions, supported by non-trivial ultra-violet fixed points. Moreover, such theories can be expected to be accessible to Wilson's epsilon expansion. We investigate this series for SU(N) Yang-Mills, in particular for the fixed point coupling and critical exponent nu, up to four loops. From the model-building point of view, such theories would be effectively perturbatively renormalizable in the normal way. A particularly attractive possibility is the construction of renormalizable extra-dimensional models of the weak interactions, which have the potential to address the full hierarchy problem. The simplest such gauge-Higgs unification model is however ruled out by a combination of theoretical and phenomenological constraints.
field theories in higher dimensions, nonperturbative effects, beyond standard model, compactification and string models
1-31
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6
Morris, Tim R.
a9927d31-7a12-4188-bc35-1c9d3a03a6a6

Morris, Tim R. (2005) Renormalizable extra-dimensional models. Journal of High Energy Physics, JHEP01 (2), 1-31. (doi:10.1088/1126-6708/2005/01/002).

Record type: Article

Abstract

Non-Abelian gauge theories may have continuum limits in more than four dimensions, supported by non-trivial ultra-violet fixed points. Moreover, such theories can be expected to be accessible to Wilson's epsilon expansion. We investigate this series for SU(N) Yang-Mills, in particular for the fixed point coupling and critical exponent nu, up to four loops. From the model-building point of view, such theories would be effectively perturbatively renormalizable in the normal way. A particularly attractive possibility is the construction of renormalizable extra-dimensional models of the weak interactions, which have the potential to address the full hierarchy problem. The simplest such gauge-Higgs unification model is however ruled out by a combination of theoretical and phenomenological constraints.

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More information

Published date: 24 January 2005
Keywords: field theories in higher dimensions, nonperturbative effects, beyond standard model, compactification and string models

Identifiers

Local EPrints ID: 28834
URI: http://eprints.soton.ac.uk/id/eprint/28834
PURE UUID: eac929dc-d988-49a3-b329-de3739122b8e
ORCID for Tim R. Morris: ORCID iD orcid.org/0000-0001-6256-9962

Catalogue record

Date deposited: 08 May 2006
Last modified: 07 Oct 2020 02:57

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