TY - JOUR

T1 - Braided quantum electrodynamics

AU - Ćirić, Marija Dimitrijević

AU - Konjik, Nikola

AU - Radovanović, Voja

AU - Szabo, Richard J.

N1 - Funding Information:
We are grateful to Paolo Aschieri, Martin Cederwall, Branislav Jurčo, Denjoe O’Connor, Biljana Nikolić, Christian Sämann, Miša Toman, Francesco Toppan and Guillaume Trojani for helpful discussions and correspondence. M.D.C. and R.J.S. thank the Mainz Institute for Theoretical Physics (MITP) of the Cluster of Excellence PRISMA (Project ID 39083149) for hospitality and support during part of this work. The work of M.D.C., N.K. 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 M.D.C and R.J.S. was partially supported by the Croatian Science Foundation Project IP-2019-04-4168. The work of R.J.S. was supported by the Consolidated Grant ST/P000363/1 from the U.K. Science and Technology Facilities Council. +
Funding Information:
We are grateful to Paolo Aschieri, Martin Cederwall, Branislav Jurčo, Denjoe O’Connor, Biljana Nikolić, Christian Sämann, Miša Toman, Francesco Toppan and Guillaume Trojani for helpful discussions and correspondence. M.D.C. and R.J.S. thank the Mainz Institute for Theoretical Physics (MITP) of the Cluster of Excellence PRISMA+(Project ID 39083149) for hospitality and support during part of this work. The work of M.D.C., N.K. 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 M.D.C and R.J.S. was partially supported by the Croatian Science Foundation Project IP-2019-04-4168. The work of R.J.S. was supported by the Consolidated Grant ST/P000363/1 from the U.K. Science and Technology Facilities Council.
Publisher Copyright:
© 2023, The Author(s).

PY - 2023/8/31

Y1 - 2023/8/31

N2 - The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example of braided electrodynamics, that is, U(1) gauge theory minimally coupled to a Dirac fermion. We construct the braided L∞-algebra of this field theory and obtain the braided equations of motion, action functional and conserved matter current. The modifications of the electric charge conservation law due to the braided noncommutative deformation are described. We develop a braided generalization of Wick’s theorem, and use it to compute correlation functions of the braided quantum field theory using homological perturbation theory. Our putative calculations indicate that the braided theory does not contain the non-planar Feynman diagrams of conventional noncommutative quantum field theory, and that correlators do not exhibit UV/IR mixing.

AB - The homotopy algebraic formalism of braided noncommutative field theory is used to define the explicit example of braided electrodynamics, that is, U(1) gauge theory minimally coupled to a Dirac fermion. We construct the braided L∞-algebra of this field theory and obtain the braided equations of motion, action functional and conserved matter current. The modifications of the electric charge conservation law due to the braided noncommutative deformation are described. We develop a braided generalization of Wick’s theorem, and use it to compute correlation functions of the braided quantum field theory using homological perturbation theory. Our putative calculations indicate that the braided theory does not contain the non-planar Feynman diagrams of conventional noncommutative quantum field theory, and that correlators do not exhibit UV/IR mixing.

KW - BRST Quantization

KW - Non-Commutative Geometry

UR - http://www.scopus.com/inward/record.url?scp=85169662300&partnerID=8YFLogxK

U2 - 10.1007/JHEP08(2023)211

DO - 10.1007/JHEP08(2023)211

M3 - Article

AN - SCOPUS:85169662300

SN - 1126-6708

VL - 2023

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 8

M1 - 211

ER -