On the zero of the fermion zero mode

Details On the zero of the fermion zero mode On the zero of the fermion zero mode

2004-11-27

arxiv.org/abs/hep-th/0411252v1

Phys.Rev. D71 (2005) 101701

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, 3 figures in 5 parts

Scientific paper

10.1103/PhysRevD.71.101701

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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