Current browse context:
hep-lat
Change to browse by:
References & Citations
High Energy Physics - Lattice
Title: Gauge invariant discretization of Chern-Simons couplings
(Submitted on 30 Apr 2024)
Abstract: 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.
Link back to: arXiv, form interface, contact.