On Majorana fermions on the lattice

• Verfasst von: Pawlowski, Jan M. [VerfasserIn]
• Verfasst von: Igarashi, Yuji [VerfasserIn]
• Titel: On Majorana fermions on the lattice
• Verf.angabe: Jan M. Pawlowski, Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16,69120 Heidelberg, Germany ; Yuji Igarashi, Faculty of Education, Niigata University, Ikarashi, 950-2184, Niigata, Japan
• Fussnoten: Gesehen am 06.12.2017
• Titel Quelle: Enthalten in: De.arxiv.org
• Jahr Quelle: 2007
• Band/Heft Quelle: (2007) Artikel-Nummer 0710.421, 7 Seiten
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 156607570X

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.