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arXiv:hep-lat/9907001·v1·High Energy Physics — Lattice

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.

Comments: LATTICE99(confine) - 3p, 1 fig in 3 parts

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