Superconductivity As The Consequence Of Condensation Of Monopoles And Dyons In SU(2) And SU(3) Gauge Theories

Constructing the effective action for dyonic field in Abelian projection of QCD, it has been demonstrated that any charge (electrical or magnetic) of dyon screens its own direct potential to which it minimally couples and anti-screens the dual potential leading to dual superconductivity in accordance with generalized Meissner effect. In this Abelian projection of QCD an Abelian Higgs model, incorporating dual superconductivity and confinement, has been constructed and its string representation has been obtained in terms of average of Wilson loop. The study of the condensation of monopoles and the resulting chromo magnetic superconductivity has been undertaken in restricted chromo dynamics (RCD) of SU(2) and SU(3) gauge theories. Constructing the RCD Lagrangian and the partition function for monopoles in terms of string action and the action of the current around the strings, the monopole current in RCD chromo magnetic superconductor has been derived and it has shown that in London’ limit the penetration length governs the monopole density around RCD string in chromo magnetic superconductors while with finite (non-zero) coherence length the leading behavior of the monopole density at large distances from the string is controlled by the coherence length and not by the penetration length.