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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2014, Volume 100, Issue 9, Pages 670–673
DOI: https://doi.org/10.7868/S0370274X14210115 (Mi jetpl4460) 		 
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
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DOI: https://doi.org/10.7868/S0370274X14210115
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
English version:
Journal of Experimental and Theoretical Physics Letters, 2014, Volume 100, Issue 9, Pages 591–595
DOI: https://doi.org/10.1134/S0021364014210140
Bibliographic databases:
Document Type: Article
Language: English
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
Citation in format AMSBIB
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