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METHODS OF THEORETICAL PHYSICS
On the question of the Wilson fermion doubling phenomenon on
irregular lattice
S. N. Vergelesab a Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow region
Abstract:
It is shown that the Wilson fermion doubling
phenomenon on irregular lattices (simplicial complexes) does exist.
This means that the irregular (not smooth) zero or soft modes exist.
The statement is proved on 4-Dimensional lattice by means of the
Atiyah–Singer index theorem.
Received: 15.09.2014 Revised: 20.09.2014
Citation:
S. N. Vergeles, “On the question of the Wilson fermion doubling phenomenon on
irregular lattice”, Pis'ma v Zh. Èksper. Teoret. Fiz., 100:9 (2014), 670–673; JETP Letters, 100:9 (2014), 591–595
Linking options:
https://www.mathnet.ru/eng/jetpl4460 https://www.mathnet.ru/eng/jetpl/v100/i9/p670
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Abstract page: | 125 | Full-text PDF : | 40 | References: | 27 | First page: | 4 |
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