Two interacting GL-equations in High-T$_c$ superconductivity and quantum chromodynamics

TL;DR

This paper explores a theoretical connection between high-temperature superconductivity and quantum chromodynamics through coupled Ginzburg-Landau equations, revealing solutions where one field suppresses another.

Contribution

It introduces a novel analogy using two interacting Ginzburg-Landau equations to model phenomena in both high-Tc superconductivity and quantum chromodynamics.

Findings

Regular solutions where one field suppresses the other

Modeling of Cooper electron interactions with quasi particles

Gauge condensate interactions in QCD context

Abstract

The possible connection between High-T$_c$ superconductivity and quantum chromodynamics is considered that is based on two interacting Ginzburg-Landau equations. For High-T$_c$ superconductivity these two equations describe Cooper electrons interacting with different kind of quasi particles (phonons, magnons, excitons and so on). The interaction term describes a possible interaction between different kind of quasi particles. For quantum chromodynamics the equations describe two kinds of gauge condensates. The condensates describe a gauge potential from a subalgebra of the SU(3) gauge group and the corresponding coset. Regular solutions are found which describe the situation where one field, $\psi_1$, is pushed out by another, $\psi_2$.