Chiral fermions on the lattice
We discuss topological obstructions to putting chiral fermions on an even-dimensional lattice. The setting includes Ginsparg-Wilson fermions, but is more general. We prove a theorem which relates the total chirality to the difference of generalised winding numbers of chiral projection operators. For...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
25 August 2002
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| In: |
Nuclear physics. B, Particle physics
Year: 2002, Volume: 642, Issue: 1, Pages: 357-371 |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/S0550-3213(02)00639-9 |
| Online Access: | Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1016/S0550-3213(02)00639-9 Verlag, kostenfrei, Volltext: http://www.sciencedirect.com/science/article/pii/S0550321302006399 
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| Author Notes: | Oliver Jahn, Jan M. Pawlowski |
| Summary: | We discuss topological obstructions to putting chiral fermions on an even-dimensional lattice. The setting includes Ginsparg-Wilson fermions, but is more general. We prove a theorem which relates the total chirality to the difference of generalised winding numbers of chiral projection operators. For an odd number of Weyl fermions this implies that particles and anti-particles live in topologically different spaces. |
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| Item Description: | Gesehen am 06.12.2017 |
| Physical Description: | Online Resource |
| ISSN: | 1873-1562 |
| DOI: | 10.1016/S0550-3213(02)00639-9 |