BV quantization of braided scalar field theory

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

doi:10.22323/1.436.0338

BV quantization of braided scalar field theory

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

Research output: Contribution to journal › Conference article › peer-review

1 Citation (Scopus)

62 Downloads (Pure)

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 language	English
Article number	338
Journal	Proceedings of Science
Volume	436
DOIs	https://doi.org/10.22323/1.436.0338
Publication status	Published - 8 Nov 2023
Event	Corfu Summer Institute 2022: 22nd Hellenic School and Workshops on Elementary Particle Physics and Gravity - Corfu, Greece Duration: 28 Aug 2022 → 1 Oct 2022

ASJC Scopus subject areas

General

Access to Document

10.22323/1.436.0338Licence: CC BY-NC-ND

Download pdf
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (CC BY-NC-ND 4.0).
Final published version, 548 KBLicence: CC BY-NC-ND

Cite this

@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",

}

TY - JOUR

T1 - BV quantization of braided scalar field theory

AU - Bogdanović, D. J.

AU - Ćirić, M. Dimitrijević

AU - Radovanović, V.

AU - Szabo, R. J.

N1 - 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 Nikolić 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: © 2023 Sissa Medialab Srl. All rights reserved.

PY - 2023/11/8

Y1 - 2023/11/8

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/85178567966

U2 - 10.22323/1.436.0338

DO - 10.22323/1.436.0338

M3 - Conference article

AN - SCOPUS:85178567966

SN - 1824-8039

VL - 436

JO - Proceedings of Science

JF - Proceedings of Science

M1 - 338

T2 - Corfu Summer Institute 2022

Y2 - 28 August 2022 through 1 October 2022

ER -

BV quantization of braided scalar field theory

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this