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Dimensional reduction without continuous extra dimensions


Chamseddine, A H; Fröhlich, J; Schubnel, B; Wyler, D (2013). Dimensional reduction without continuous extra dimensions. Journal of Mathematical Physics, 54(1):012302.

Abstract

We describe a novel approach to dimensional reduction in classical field theory. Inspired by ideas from noncommutative geometry, we introduce extended algebras of differential forms over space-time, generalized exterior derivatives, and generalized connections associated with the ``geometry'' of space-times with discrete extra dimensions. We apply our formalism to theories of gauge- and gravitational fields and find natural geometrical origins for an axion- and a dilaton field, as well as a Higgs field.

Abstract

We describe a novel approach to dimensional reduction in classical field theory. Inspired by ideas from noncommutative geometry, we introduce extended algebras of differential forms over space-time, generalized exterior derivatives, and generalized connections associated with the ``geometry'' of space-times with discrete extra dimensions. We apply our formalism to theories of gauge- and gravitational fields and find natural geometrical origins for an axion- and a dilaton field, as well as a Higgs field.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:January 2013
Deposited On:10 Feb 2014 16:44
Last Modified:22 May 2016 07:50
Publisher:American Institute of Physics
ISSN:0022-2488
Additional Information:Copyright: American Institute of Physics
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:https://doi.org/10.1063/1.4771877

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