S. N. Vergeles, “On the question of the Wilson fermion doubling phenomenon on irregular lattice”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2014, Volume 100, Issue 9,Pages <nobr>670

METHODS OF THEORETICAL PHYSICS

On the question of the Wilson fermion doubling phenomenon on irregular lattice

S. N. Vergeles^ab

^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

Language: English

DOI: 10.7868/S0370274X14210115