Confinement potential in the dual monopole Nambu–Jona–Lasinio model with dual Dirac strings

Abstract.

Interquark confinement potential is calculated in the dual monopole Nambu–Jona–Lasinio model with dual Dirac strings suggested in [2,3] as a functional of the dual Dirac string length. The calculation is carried out by explicit integration over quantum fluctuations of a dual-vector field (monopole–antimonopole collective excitation) around the Abrikosov flux line and string shape fluctuations. The contribution of the scalar field (monopole–antimonopole collective excitation) exchange is taken into account in the tree approximation because of the London limit regime. The dominant role of quantum fluctuations for the formation of the linearly rising part of the confinement potential is argued.