2004/11/27 by Falk Bruckmann
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Combinatorics #Computer science #Cosmology and Gravitation Theories #Fermion #First order #Lattice (music) #Magnetic monopole #Mathematical physics #Mathematics #Mode (computer interface) #Noncommutative and Quantum Gravity Theories #Physics #Property (philosophy) #Quantum mechanics #Theoretical physics #Topology (electrical circuits) #Zero (linguistics) #Zero mode #Zero order #Zero temperature #Zero-point energy #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.71.101701
published as Phys.Rev. D71 (2005) 101701 · 6 pages, 3 figures in 5 parts
arxiv created 2004/11/27 · openalex publication_date 2005/05/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We show that the fermionic zero mode in nontrivial SU(2) 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 nontrivial configuration. We propose the use of this property, in particular, for lattice simulations in order to uncover the topological content of a configuration.