# Massive dual gauge field and confinement in Minkowski space: Electric charge

Sawayanagi, Hirohumi (National Institute of Technology, Kushiro College, Kushiro 084-0916, Japan)

30 March 2019

Abstract: SU(2) gauge theory in the nonlinear gauge of Curci–Ferrari type is studied in the low-energy region. We give a classical solution that connects color electric charges. Its dual solution, which has a monopole configuration, is also presented. Due to gluon condensation subsequent to the ghost condensation, these classical fields become massive. The massive Lagrangian with the classical solution and that with the dual solution are derived. We show that these Lagrangians produce a linear potential between a quark and an antiquark. This is the mechanism of quark confinement, which is different from magnetic monopole condensation.

Published in: PTEP 2019 (2019) 033B03
DOI: 10.1093/ptep/ptz012
arXiv: 1902.01586

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