Can nonlocal Dirac operators be topologically proper?
Chiu, Ting-Wai
High Energy Physics - Lattice
Condensed Matter
High Energy Physics - Phenomenology
High Energy Physics - Theory
Mathematical Physics
Original · EN
By examining the analyticity of a sequence of topologically-proper lattice Dirac operators, we show that they tend to a nonlocal Dirac operator. This implies that a nonlocal lattice Dirac operator can have exact zero modes satisfying the Atiyah-Singer index theorem, in gauge backgrounds with nonzero topological charge.
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