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On the zero of the fermion zero mode

Falk Bruckmann
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Abstract

We argue that the fermionic zero mode in non-trivial gauge field backgrounds must have a zero. We demonstrate this explicitly for calorons where its location is related to a constituent monopole. Furthermore a topological reasoning for the existence of the zero is given which therefore will be present for any non-trivial configuration. We propose the use of this property in particular for lattice simulations in order to uncover the topological content of a configuration.

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Falk Bruckmann. 2004-11-27. On the zero of the fermion zero mode. https://doi.org/10.1103/physrevd.71.101701

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