Confinement potential in dual Monopole Nambu-Jona-Lasinio model with   dual Dirac strings
  Interquark confinement potential is calculated in the dual Monopole Nambu-Jona-Lasinio model with dual Dirac strings as a functional of a dual Dirac string length. The calculation is carried out by the 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 due to the London limit regime. 
M. Faber, A. N. Ivanov, A. Mueller, N.I.Troitskaya and M. Zach (Vienna   Techn. Univ.)