Restricted Chromodynamics Research Articles

Phenomenological theory of Superconductivity in the frameworks of QCD and RCD

Carrying out the study of phenomenological theory of superconductivity at microscopic level in the framework of QCD and restricted chromodynamics, we have investigated the topology of dyons in magnetic gauge space and showed that RCD vavuum containing plasma of dyons and anti-dyons behave like a chromomagnetic superconductor within which the chromomagnetic gluons propagate in the non-perturbative vacuum. Study of the superconductivity, dual superconductivity and color superconductivity have shown to automatically incorporate the condensation of monopoles or dyons ultimately leading to superconducting confining phases of the QCD vacuum.

Phenomenological theory of Superconductivity in the frameworks of QCD and RCD

Carrying out the study of phenomenological theory of superconductivity at microscopic level in the framework of QCD and restricted chromodynamics, we have investigated the topology of dyons in magnetic gauge space and showed that RCD vavuum containing plasma of dyons and anti-dyons behave like a chromomagnetic superconductor within which the chromomagnetic gluons propagate in the non-perturbative vacuum. Study of the superconductivity, dual superconductivity and color superconductivity have shown to automatically incorporate the condensation of monopoles or dyons ultimately leading to superconducting confining phases of the QCD vacuum.

Condensation of Embedded Monopoles in SU(2) Gauge Theory

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.

Superconductivity in Supersymmetric Theory in Restricted Chromodynamics

The study of superconductivity, dual superconductivity and color superconductivity has been undertaken through the breaking of super symmetric gauge theory in restricted chromo dynamics (RCD) which automatically incorporates the condensation of monopoles and dyons leading to confining and superconducting phases. Dyonic supermultiplets in N=1 super symmetry have been obtained quantum mechanically in RCD and it has been shown that dyon appears in RCD theory only through restricted part of the generalized potential and it is only this part of this potential which is responsible for quark confinement and the resulting superconductivity through the mechanism of dyonic condensation.

Superconductivity due to Condensation of Monopoles around RCD Strings in SU(2) Gauge Theory

The study of the condensation of monopoles and the resulting chromomagnetic superconductivity have been undertaken in restricted chromodynamics of SU(2) gauge theory. 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 (nonzero) 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.

Superconductivity in Restricted Chromo-Dynamics (RCD) in SU(2) and SU(3) Gauge Theories

Characterizing the dyonically condensed vacuum by the presence of two massive modes (one determining how fast the perturbative vacuum around a colour source reaches the condensation and the other giving the penetration length of colored flux) in SU(2) theory, it has been shown that due to the dynamical breaking of magnetic symmetry the vacuum of RCD acquires the properties similar to those of relativistic superconductor. Analysing the behaviour of dyons around RCD string, the solutions of classical field equations have been obtained and it has been shown that magnetic constituent of dyonic current is zero at centre of the string and also at the points far away from the string. Extending RCD in the realistic color gauge group SU(3), it has been shown that the resulting Lagrangian leads to dyonic condensation, color confinement and the superconductivity with the presence of two scalar modes and two vector modes.

Dielectric behaviour of RCD confinement

Using the magnetic-symmetry structure of restricted chromodynamics, the dual superconducting behaviour has been analysed by evaluating the current correlators in magnetic gauge in terms of the dielectric parameters. The confining nature of the associated dual gluon propagators has also been discussed.

Confinement parameters in restricted chromodynamics

QCD as a dual gauge theory has been constructed in terms of restricted chromodynamics by using the magnetic symmetry. The associated dual structure has been utilized to explain the colour confinement as a result of dynamical breaking of magnetic symmetry and the parameters related to the confinement have been derived. The generalized supercurrent of dyonically condensed vacuum has been shown to lead to the generalized Meissner effect responsible for the confining nature of RCD vacuum. The range parameter analysis has been shown to unfavour the higher-order Dirac charges and it has been demonstrated that the generalized-charge-space parameter can improve the RCD confining properties.

The quark confinement in extended gauge theory

To investigate the possible physical implications of the topological structure of non-Abelian dyons in connection with the issue of quark confinement in quantum chromodynamics (QCD), extended gauge theory is formulated in SU(2) and SU(3) gauge groups from the corresponding restricted chromodynamics (RCD) by reactivating the suppressed dynamical degrees of freedom and constructing the gauge potential in terms of the binding gluons (the RCD piece) and the valence gluons (the reactivated piece). It is shown that in this extended QCD, the confinement mechanism of the corresponding RCD remains intact. The physical spectrum contains color-singlet generalized electric glueballs made of valence gluon pairs as well as the generalized magnetic glueballs as massive collective modes of the condensed vacuum.

Restricted gauge theory

A restricted gauge theory is obtained as a self-consistent subset of a non-Abelian gauge theory by imposing an extra magnetic symmetry to the gauge symmetry. The theory describes the dual dynamics between the color isocharges (i.e., the electric charges) and the topological charges (i.e., the magnetic charges) of the non-Abelian symmetry, and contains two potentials, the electric and the magnetic potentials, in a dual-symmetric way. The topological charge is identified as the dual of the Noether charge of the magnetic symmetry of the theory. A possible role of the restricted chromodynamics for quark confinement in quantum chromodynamics is speculated.