Condensation of Embedded Monopoles in SU(2) Gauge Theory

Abstract

Extending the Restricted Chromo dynamics (RCD) and exploring the role of quark monopoles (i.e. embedded monopoles) in restoration of chiral symmetry in SU(2) gauge theory, it has been shown that these monopoles play very important part in confining properties including color superconductivity.

Phenomenological theory of Superconductivity in the frameworks of QCD and RCD

“…In the process of current understanding of superconductivity, in a series of papers [1][2][3][4][5][6][7][8][9] we have conceived its hopeful analogy with QCD and demonstrated that the essential features of superconductivity i.e., the Meissner effect and flux quantization, provide the vivid models for actual confinement mechanism in QCD. The condensation of magnetic monopole incorporates the state of magnetic superconductivity and the notion of chromo magnetic superconductor [10] where the Meissner effect confining magnetic field in ordinary superconductivity would be replaced by the chromo-electric Meissner effect (the dual Meissner effect),which would confine the color electric flux.…”

Superconductivity in Supersymmetric Theories

“…The study of vacuum structure of N = 2 supersymmetric QCD, based on the gauge group SU (2) with N f = 2 flavors of massive hypermultiplet quark, has recently been undertaken [17] in the presence of non-zero baryon chemical potential and it has been found, by numerical analysis, that the baryon number is broken as a consequence of SU(2) strong gauge dynamics so that the color superconductivity dynamically takes place at the non-SUSY vacuum. We have recently undertaken the studies of superconductivity, dual superconductivity and color superconductivity in restricted chromodynamics [18][19][20] and supersymmetric gauge theories [21,22] with quark multiplets and quark chemical potential at classical and quantum levels.…”

“…Constructing the effective Lagrangian near singularity u = ∧ 2 in moduli space for N = 2 supersymmetric theory with SU(2) gauge group, it has been shown that when a mass term is added to this Lagrangian, the N = 2 Supersymmetry is reduced to N = 1 supersymmetry containing mass less monopoles (0, 1) at u = ∧ 2 . The addition of a mass less term to the low energy Lagrangian near the singularity u = −∧ 2 has been shown to yield the dyonic condensation which leads to confinement and superconductivity as the consequence of generalized Meissner effect [18,22,23].…”