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