Chern-Simons Type Characteristic Classes of Abelian Lattice Gauge Theory
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866917942127493120 |
|---|---|
| author | Wu, Mengyao Yang, Jie |
| author_facet | Wu, Mengyao Yang, Jie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_07177 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Chern-Simons Type Characteristic Classes of Abelian Lattice Gauge Theory Wu, Mengyao Yang, Jie High Energy Physics - Theory 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. |
| title | Chern-Simons Type Characteristic Classes of Abelian Lattice Gauge Theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2501.07177 |