Chern-Simons Type Characteristic Classes of Abelian Lattice Gauge Theory

Mengyao Wu; Jie Yang

doi:10.1016/j.physletb.2025.139363

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arXiv · 2501.07177

Chern-Simons Type Characteristic Classes of Abelian Lattice Gauge Theory

Mengyao Wu·Jie Yang

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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.

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Mengyao Wu, Jie Yang. 2025-01-13. Chern-Simons Type Characteristic Classes of Abelian Lattice Gauge Theory. https://doi.org/10.1016/j.physletb.2025.139363

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