Naturally Light Fermions from Dimensional Reduction
High Energy Physics - Lattice
2009-11-10 v1 High Energy Physics - Theory
Abstract
We consider the 3-d Gross-Neveu model in the broken phase and construct a stable brane world by means of a domain wall and an anti-wall. Fermions of opposite chirality are localized on the walls and coupled through the 3-d bulk. At large wall separation \beta the 2-d correlation length diverges exponentially, hence a 2-d observer cannot distinguish this situation from a 2-d space-time. The 3-d 4-fermion coupling and \beta fix the effective 2-d coupling such that the asymptotic freedom of the 2-d model arises. This mechanism provides criticality without fine tuning.
Cite
@article{arxiv.hep-lat/0308022,
title = {Naturally Light Fermions from Dimensional Reduction},
author = {W. Bietenholz and A. Gfeller and U. -J. Wiese},
journal= {arXiv preprint arXiv:hep-lat/0308022},
year = {2009}
}
Comments
3 pages, talk presented at Lattice2003 (theoretical developments)