Gauge invariant discretization of Chern-Simons couplings
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916229907742720 |
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| author | Hatakeyama, Kohta Sato, Matsuo Tanaka, Gota |
| author_facet | Hatakeyama, Kohta Sato, Matsuo Tanaka, Gota |
| contents | We discretize Chern-Simons couplings in gauge invariant way. We obtain (p+q)-forms representing Chern-Simons couplings on (p + q)-simplexes from wedge products of p- and q-forms on p- and q-simplexes, respectively, where p- and q-simplexes form (p+q)-simplexes by having a common vertex. We show that the Chern-Simons couplings on simplicial complexes reduce to Chern-Simons couplings on the manifolds in a continuum limit. Moreover, we prove that a typical discretized Chern-Simons term that has the Chern-Simons coupling is gauge invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_19413 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Gauge invariant discretization of Chern-Simons couplings Hatakeyama, Kohta Sato, Matsuo Tanaka, Gota High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory We discretize Chern-Simons couplings in gauge invariant way. We obtain (p+q)-forms representing Chern-Simons couplings on (p + q)-simplexes from wedge products of p- and q-forms on p- and q-simplexes, respectively, where p- and q-simplexes form (p+q)-simplexes by having a common vertex. We show that the Chern-Simons couplings on simplicial complexes reduce to Chern-Simons couplings on the manifolds in a continuum limit. Moreover, we prove that a typical discretized Chern-Simons term that has the Chern-Simons coupling is gauge invariant. |
| title | Gauge invariant discretization of Chern-Simons couplings |
| topic | High Energy Physics - Lattice High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.19413 |