On the continuum limit of fermionic topological charge in lattice gauge theory.
Adams, David H.
Date of Issue2001
School of Physical and Mathematical Sciences
It is proved that the fermionic topological charge of SU(N) lattice gauge fields on the four-torus, given in terms of a spectral flow of the Hermitian Wilson–Dirac operator or, equivalently, as the index of the overlap Dirac operator, reduces to the continuum topological charge in the classical continuum limit when the parameter m 0 is in the physical region 0<m 0 <2.
Journal of mathematical physics
© 2001 American Institute of Physics. This paper was published in Journal of Mathematical Physics and is made available as an electronic reprint (preprint) with permission of American Institute of Physics. The paper can be found at the following official DOI: http://dx.doi.org/10.1063/1.1415087. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law.