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VOLUME 100 (2014) | ISSUE 9 | PAGE 670
On the question of the Wilson fermion doubling phenomenon on irregular lattice
DOI: 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.