Chern-Simons Type Characteristic Classes of Abelian Lattice Gauge Theory
High Energy Physics - Theory
2025-03-04 v3
Abstract
In this paper,we extend the definition of the Chern-Simons type characteristic classes in the continuous case to abelian lattice gauge theory. Then, we show that the exterior differential of a k-th Chern-Simons type characteristic class is exactly equal to the coboundary of the cochain of the (k-1)-th Chern-Simons type characteristic classes based upon the noncommutative differential calculus on the lattice.
Keywords
Cite
@article{arxiv.2501.07177,
title = {Chern-Simons Type Characteristic Classes of Abelian Lattice Gauge Theory},
author = {Mengyao Wu and Jie Yang},
journal= {arXiv preprint arXiv:2501.07177},
year = {2025}
}
Comments
12 pages