Zero modes, boundary conditions and anomalies on the lattice and in the continuum

Michael Stone

doi:10.1016/0003-4916(84)90252-5

Zero modes, boundary conditions and anomalies on the lattice and in the continuum

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Abstract

We examine the connection, and occasional lack of it, between zero modes and anomalies in lattice and continuum models. In particular we discuss the index theorem for the polyacetylene problem and for two-dimensional Kogut-Susskind/Kähler-Dirac fermions, paying special attention to boundary effects which may be important in simulations on small lattices.

Original language	English (US)
Pages (from-to)	56-84
Number of pages	29
Journal	Annals of Physics
Volume	155
Issue number	1
DOIs	https://doi.org/10.1016/0003-4916(84)90252-5
State	Published - Jun 1984
Externally published	Yes

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General Physics and Astronomy

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10.1016/0003-4916(84)90252-5

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AB - We examine the connection, and occasional lack of it, between zero modes and anomalies in lattice and continuum models. In particular we discuss the index theorem for the polyacetylene problem and for two-dimensional Kogut-Susskind/Kähler-Dirac fermions, paying special attention to boundary effects which may be important in simulations on small lattices.

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Zero modes, boundary conditions and anomalies on the lattice and in the continuum

Abstract

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