English

Index Theorem in Finite Noncommutative Geometry

High Energy Physics - Theory 2009-11-13 v1 High Energy Physics - Lattice

Abstract

Index theorem is formulated in noncommutative geometry with finite degrees of freedom by using Ginsparg-Wilson relation. It is extended to the case where the gauge symmetry is spontaneously broken. Dynamical analysis about topological aspects in gauge theory is also shown.

Keywords

Cite

@article{arxiv.0706.3078,
  title  = {Index Theorem in Finite Noncommutative Geometry},
  author = {Hajime Aoki},
  journal= {arXiv preprint arXiv:0706.3078},
  year   = {2009}
}
R2 v1 2026-06-21T08:40:29.703Z