# 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.

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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Item Type: Journal Article, refereed, original work 07 Faculty of Science > Physics Institute 530 Physics English January 2013 10 Feb 2014 16:44 22 May 2016 07:50 American Institute of Physics 0022-2488 Copyright: American Institute of Physics Publisher DOI. An embargo period may apply. https://doi.org/10.1063/1.4771877
Permanent URL: https://doi.org/10.5167/uzh-90645

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