Zero modes of the Dirac operator in three dimensions

C. Adam, B. Muratori, and C. Nash
Phys. Rev. D 60, 125001 – Published 1 November 1999
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Abstract

We investigate zero modes of the Dirac operator coupled to an Abelian gauge field in three dimensions. We find that the existence of a certain class of zero modes is related to a specific topological property precisely when the requirement of finite Chern-Simons action is imposed.

  • Received 10 March 1999

DOI:https://doi.org/10.1103/PhysRevD.60.125001

©1999 American Physical Society

Authors & Affiliations

C. Adam*

  • School of Mathematics, Trinity College, Dublin 2, Ireland

B. Muratori and C. Nash

  • Department of Mathematical Physics, National University of Ireland, Maynooth, Ireland

  • *Email address: adam@maths.tcd.ie, adam@pap.univie.ac.at
  • Email address: bmurator@fermi1.thphys.may.ie
  • Email address: cnash@stokes2.thphys.may.ie

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Issue

Vol. 60, Iss. 12 — 15 December 1999

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