Dimensional Reduction without Extra Continuous Dimensions
Mathematical Physics
2013-10-18 v2 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.1201.2661,
title = {Dimensional Reduction without Extra Continuous Dimensions},
author = {Ali Chamseddine and Juerg Froehlich and Baptiste Schubnel and Daniel Wyler},
journal= {arXiv preprint arXiv:1201.2661},
year = {2013}
}
Comments
23 pages