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Title: Influence of topology on fermionic zero-modes in lattice gauge theory
Authors: Petrashyk, Andriy
Keywords: DRNTU::Science::Mathematics::Topology
DRNTU::Science::Physics::Nuclear and particle physics
Issue Date: 2010
Abstract: A way to identify the would-be zero-modes of staggered lattice fermions away from the continuum limit is presented. The idea, which is to consider the spectral flow of a certain Hermitian version of the staggered Dirac operator, is developed and discussed. The influence of topology on zero-modes of staggered lattice fermions is numerically investigated in 4 dimensions for U(1) gauge fields. The staggered fermion index obtained is shown to be determined by the underlying gauge field topology in accordance with the Atiyah-Singer Index theorem. It is also found to perform as well as the Wilson index, while being computationally more efficient.
Fulltext Permission: restricted
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Theses

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