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Phys. Rev. D 60, 125001 (1999) [8 pages]

Zero modes of the Dirac operator in three dimensions

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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

Received 10 March 1999; published 1 November 1999

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.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.60.125001
DOI:
10.1103/PhysRevD.60.125001
PACS:
11.15.-q, 02.40.-k

*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