BV quantization of braided scalar field theory

D. J. Bogdanović, M. Dimitrijević Ćirić, V. Radovanović, R. J. Szabo

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Abstract

We address the problem of UV/IR mixing in noncommutative quantum field theories from the perspective of braided L-structures and the Batalin--Vilkovisky formalism. We describe the example of braided noncommutative scalar field theory and its quantization using braided homological perturbation theory. The formalism is illustrated through one-loop calculations of the two-point functions for ϕ4-theory in four dimensions and ϕ3-theory in six dimensions. In both cases we find that there are no non-planar diagrams and no UV/IR mixing.
Original languageEnglish
Article number338
JournalProceedings of Science
Volume436
DOIs
Publication statusPublished - 8 Nov 2023
EventCorfu Summer Institute 2022: 22nd Hellenic School and Workshops on Elementary Particle Physics and Gravity - Corfu, Greece
Duration: 28 Aug 20221 Oct 2022

ASJC Scopus subject areas

  • General

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