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- W4295663043 abstract "After arguing why the Batalin–Vilkovisky (BV) formalism is expected to find a natural description within the framework of noncommutative geometry, we explain how this relation takes form for gauge theories induced by finite spectral triples. In particular, we demonstrate how the two extension procedures appearing in the BV formalism, that is, the initial extension via the introduction of ghost/anti-ghost fields and the further extension with auxiliary fields, can be described in the language of noncommutative geometry using the notions of the BV spectral triple and total spectral triple, respectively. The construction is presented in detail for all U(2)-gauge theories induced by spectral triples on the algebra M2(C). Indications are given on how to extend the results to U(n)-gauge theories for n > 2." @default.
- W4295663043 created "2022-09-14" @default.
- W4295663043 creator A5028006722 @default.
- W4295663043 date "2022-09-01" @default.
- W4295663043 modified "2023-10-18" @default.
- W4295663043 title "The ghost fields and the BV extension for finite spectral triples" @default.
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- W4295663043 doi "https://doi.org/10.1063/5.0089795" @default.
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