Exact fermion zero-mode for the new calorons

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.

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

References in corpus (3)

• Periodic Instantons with non-trivial Holonomy
• Monopole Constituents inside SU(n) Calorons
• Exact T-duality between Calorons and Taub-NUT spaces

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