Decomposition of the static potential in the Maximal Abelian gauge

Vitaly Bornyakov; Vladimir Goy; Ilya Kudrov; Roman Rogalyov

doi:10.1051/epjconf/202225802009

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Proceedings

Open Access

EPJ Web of Conferences 258, 02009 (2022)
https://doi.org/10.1051/epjconf/202225802009

Decomposition of the static potential in the Maximal Abelian gauge

Vitaly Bornyakov¹^,2^,3^*, Vladimir Goy²^,4, Ilya Kudrov³ and Roman Rogalyov¹

¹ Institute for High Energy Physics NRC Kurchatov Institute, 142281 Protvino, Russia
² Pacific Quantum Center, Far Eastern Federal University, 690950 Vladivostok, Russia
³ Institute of Theoretical and Experimental Physics NRC Kurchatov Institute, 117218 Moscow, Russia
⁴ Institut Denis Poisson CNRS/UMR 7013, Université de Tours, 37200 France

^* e-mail: vitaly.bornyakov@ihep.ru

Published online: 11 January 2022

Abstract

Decomposition of SU(2) gauge field into monopole and monopoleless components is studied in SU(2) gluodynamics and in QC₂D with zero and nonzero quark chemical potential after fixing MA gauge. For both components we calculate respective static potential and compare their sum with the nonabelian static potential. We demonstrate good agreement in the confinement phase and discuss the implications of our results.

© The Authors, published by EDP Sciences, 2022

This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.