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

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

2007-05-22

arxiv.org/abs/0705.3170v1

Physics

Condensed Matter

Superconductivity

7 pages, 6 fig's

Scientific paper

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, $\psi_2$.

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