Index of a family of lattice Dirac operators and its relation to the non-abelian anomaly on the lattice

• Main Author: Adams, David H.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Subjects: Physical and Mathematical Sciences
• Online Access: https://hdl.handle.net/10356/101119; http://hdl.handle.net/10220/18276
• Institution: Nanyang Technological University

In the continuum, a topological obstruction to the vanishing of the non-Abelian anomaly in 2n dimensions is given by the index of a certain Dirac operator in 2n+2 dimensions, or equivalently, the index of a 2-parameter family of Dirac operators in 2n dimensions. In this paper an analogous result is...