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Gauge invariant discretization of Chern-Simons couplings

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arxiv 2404.19413 v1 pith:AYGIDFWV submitted 2024-04-30 hep-lat hep-phhep-th

Kohta Hatakeyama , Matsuo Sato , Gota Tanaka This is my paper
classification hep-lathep-phhep-th
keywords chern-simonscouplingsgaugeinvariantq-simplexessimplexescommoncomplexes
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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  1. Bosonization versus the Nielsen-Ninomiya theorem

    hep-th 2026-07 conditional novelty 6.5 of 10

    The 2D modified Villain model's Weyl operators reproduce free Dirac correlations in the continuum, and their no-doubler Dirac kernel is non-local, showing exactly how bosonization evades the Nielsen-Ninomiya theorem.

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