On the continuum limit of fermionic topological charge in lattice gauge theory

• Main Author: Adams, David H.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Subjects: DRNTU::Science::Mathematics::Topology
• Online Access: https://hdl.handle.net/10356/101180; http://hdl.handle.net/10220/18280
• Institution: Nanyang Technological University

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 con...