Relativistic BCS-BEC Crossover at Finite Temperature and Its Application to Color Superconductivity
Abstract
Description
The non-relativistic $G_0 G$ formalism of BCS-BEC crossover at finite temperature is extended to relativistic fermion systems. The uncondensed pairs contribute a pseudogap to the fermion excitations. The theory recovers the BCS mean field approximation at zero temperature and the non-relativistic results in a proper limit. For massive fermions, when the coupling strength increases, there exist two crossovers from the weak coupling BCS superfluid to the non-relativistic BEC state and then to the relativistic BEC state. For color superconductivity at moderate baryon density, the matter is in the BCS-BEC crossover region, and the behavior of the pseudogap is quite similar to that found in high temperature superconductors.
13 pages, 7 figures. V2: comparision with other theories and new results on color superconductivity are added. V3: version published in PRD
13 pages, 7 figures. V2: comparision with other theories and new results on color superconductivity are added. V3: version published in PRD