English

On the zero of the fermion zero mode

High Energy Physics - Theory 2009-11-10 v1 High Energy Physics - Lattice High Energy Physics - Phenomenology

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.

Keywords

Cite

@article{arxiv.hep-th/0411252,
  title  = {On the zero of the fermion zero mode},
  author = {Falk Bruckmann},
  journal= {arXiv preprint arXiv:hep-th/0411252},
  year   = {2009}
}

Comments

6 pages, 3 figures in 5 parts

R2 v1 2026-07-22T15:27:16.318Z