Work

Multiple zero modes of the Dirac operator in three dimensions

Year: 2000

Type: article

Abstract: One of the key properties of Dirac operators is the possibility of a degeneracy of zero modes. For the Abelian Dirac operator in three dimensions the construction of multiple zero modes has been successfully carried out only very recently. Here we generalize these results by discussing a much wider class of Dirac operators together with their zero modes. Further we show that those Dirac operators that do admit zero modes may be related to Hopf maps, where the Hopf index is related to the number of zero modes in a simple way.

Source: Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields

DOI: 10.1103/physrevd.62.085026

Authors: C. Adam, B. Muratori, C. Nash

Institutions: Karlsruhe Institute of Technology, National University of Ireland, Maynooth

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2099438527

FWCI: 1.138

Cites: 18

Cited by: 33

Related to: 10