Nonperturbative QED on the Hopf Bundle †
1
Department of Theoretical and Nuclear Physics, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan
2
Institute of Experimental and Theoretical Physics, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan
3
National Nanotechnology Laboratory of Open Type, Al-Farabi Kazakh National University, Almaty 050040, Kazakhstan
4
Academician J. Jeenbaev Institute of Physics of the NAS of the Kyrgyz Republic, 265 a, Chui Street, Bishkek 720071, Kyrgyzstan
5
International Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050 Tomsk, Russia
*
Author to whom correspondence should be addressed.
†
Presented at the 1st Electronic Conference on Universe, 22–28 February 2021; Available online: https://ecu2021.sciforum.net/.
Phys. Sci. Forum 2021, 2(1), 43; https://doi.org/10.3390/ECU2021-09286
Published: 22 July 2021
(This article belongs to the Proceedings of The 1st Electronic Conference on Universe)
Abstract
:We consider the Dirac equation and Maxwell’s electrodynamics in spacetime, where a three-dimensional sphere is the Hopf bundle . The method of nonperturbative quantization of interacting Dirac and Maxwell fields is suggested. The corresponding operator equations and the infinite set of the Schwinger–Dyson equations for Green’s functions is written down. To illustrate the suggested scheme of nonperturbative quantization, we write a simplified set of equations describing some physical situation. Additionally, we discuss the properties of quantum states and operators of interacting fields.
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MDPI and ACS Style
Dzhunushaliev, V.; Folomeev, V. Nonperturbative QED on the Hopf Bundle. Phys. Sci. Forum 2021, 2, 43. https://doi.org/10.3390/ECU2021-09286
AMA Style
Dzhunushaliev V, Folomeev V. Nonperturbative QED on the Hopf Bundle. Physical Sciences Forum. 2021; 2(1):43. https://doi.org/10.3390/ECU2021-09286
Chicago/Turabian StyleDzhunushaliev, Vladimir, and Vladimir Folomeev. 2021. "Nonperturbative QED on the Hopf Bundle" Physical Sciences Forum 2, no. 1: 43. https://doi.org/10.3390/ECU2021-09286
