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arXiv · 1201.2661

Dimensional Reduction without Extra Continuous Dimensions

Ali Chamseddine·Juerg Froehlich·Baptiste Schubnel·Daniel Wyler
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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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Ali Chamseddine, Juerg Froehlich, Baptiste Schubnel, Daniel Wyler. 2012-11-27. Dimensional Reduction without Extra Continuous Dimensions. https://doi.org/10.1063/1.4771877

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