On Majorana fermions on the lattice
High Energy Physics - Lattice
2008-11-26 v1
Abstract
The construction of massless Majorana fermions with chiral Yukawa couplings on the lattice is considered. We find topological obstructions tightly linked to those underlying the Nielsen-Ninomiya no-go theorem. In contradistinction to chiral fermions the obstructions originate only from the combination of the Dirac action and the Yukawa term. These findings are used to construct a chirally invariant lattice action. We also show that the path intgral of this theory is given by the Pfaffian of the corresponding Dirac operator.
Keywords
Cite
@article{arxiv.0710.4215,
title = {On Majorana fermions on the lattice},
author = {Jan M. Pawlowski and Yuji Igarashi},
journal= {arXiv preprint arXiv:0710.4215},
year = {2008}
}
Comments
7 pages, presented at the 25th International Symposium on Lattice Field Theory, 30 Jul - 4 Aug 2007, Regensburg, Germany