On Majorana fermions on the lattice
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 combinati...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
2007
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| In: |
Arxiv
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| Online Access: | Verlag, kostenfrei, Volltext: http://arxiv.org/abs/0710.4215
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| Author Notes: | 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 |
| Summary: | 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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| Item Description: | Gesehen am 06.12.2017 |
| Physical Description: | Online Resource |