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arXiv · hep-lat/9907001

Exact fermion zero-mode for the new calorons

M. N. Chernodub·Thomas C. Kraan·Pierre van Baal
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Abstract

We construct the fermion zero-mode for arbitrary charge one SU(n) calorons with non-trivial holonomy, both in the finite temperature context (anti-periodic boundary conditions in time) and in the Kaluza-Klein compactification context (periodic boundary conditions in time). The zero-mode is localised on one of the constituent monopoles and we discuss a relation to the Callias index theorem.

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M. N. Chernodub, Thomas C. Kraan, Pierre van Baal. 1999-07-03. Exact fermion zero-mode for the new calorons. https://doi.org/10.1016/s0920-5632(00)91737-7

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