@article{b95bd2d571db40fa9a0ea5a1b648a3c8,
title = "BV quantization of braided scalar field theory",
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.",
author = "Bogdanovi{\'c}, {D. J.} and {\'C}iri{\'c}, {M. Dimitrijevi{\'c}} and V. Radovanovi{\'c} and Szabo, {R. J.}",
note = "Funding Information: Acknowledgments. We thank the organisers of the Corfu Summer Institute 2022 for the stimulating meeting and the opportunity to present the preliminary results of our work. We also thank Nikola Konjik and Biljana Nikoli{\'c} for helpful discussions. The work of Dj. B., M.D.C. and V.R. is supported by Project 451-03-47/2023-01/ 200162 of the Serbian Ministry of Education, Science and Technological Development. The work of R.J.S. was supported in part by the Consolidated Grant ST/P000363/1 from the UK Science and Technology Facilities Council. Publisher Copyright: {\textcopyright} 2023 Sissa Medialab Srl. All rights reserved.; Corfu Summer Institute 2022 : 22nd Hellenic School and Workshops on Elementary Particle Physics and Gravity, CORFU 2022 ; Conference date: 28-08-2022 Through 01-10-2022",
year = "2023",
month = nov,
day = "8",
doi = "10.22323/1.436.0338",
language = "English",
volume = "436",
journal = "Proceedings of Science",
issn = "1824-8039",
publisher = "Sissa Medialab Srl",
}