On Majorana fermions on the lattice

Details On Majorana fermions on the lattice On Majorana fermions on the lattice

2007-10-23

arxiv.org/abs/0710.4215v1

PoSLAT2007:275,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, presented at the 25th International Symposium on Lattice Field Theory, 30 Jul - 4 Aug 2007, Regensburg, Germany

Scientific paper

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.

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