Domain walls and dimensional reduction
Aug, 1999Citations per year
Abstract:
We study some properties of a dimensional reduction mechanism for fermions in an odd number D+1 of spacetime dimensions. A fermionic field is equipped with a mass term with domain wall like defects along one of the spacelike dimensions, which is moreover compactified. We show that there is a regime such that the only relevant degrees of freedom are massless fermionic fields in D dimensions. For any fixed gauge field configuration, the extra modes may be decoupled, since they can be made arbitrarily heavy. This decoupling combines the usual Kaluza-Klein one, due to the compactification, with a mass enhancement for the non-zero modes provided by the domain wall mechanism. We obtain quantitative results on the contribution of the massive modes in the cases D=2 and D=4.Note:
- 15 pages, no figures
- 11.10.Kk
- 11.27.+d
- 11.90.+t
- fermion: propagator
- any-dimensional
- dimensional reduction
- domain wall
- partition function
- effective action
- fluctuation
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