BCS/BEC crossover in Quark Matter and Evolution of its Static and Dynamic properties
arXiv:hep-ph/0605081 · doi:10.1016/j.nuclphysa.2007.03.134
Abstract
We study the evolution of dynamic properties of the BCS/BEC (Bose-Einstein Condensate) crossover in a relativistic superfluid as well as its thermodynamics. We put particular focus on the change in the soft mode dynamics throughout the crossover, and find that three different effective theories describe it; these are, the time-dependent Ginzburg-Landau (TDGL) theory in the BCS regime, the Gross-Pitaevskii (GP) theory in the BEC regime, and the relativistic Gross-Pitaevskii (RGP) equation in the relativistic BEC (RBEC) regime. Based on these effective theories, we discuss how the physical nature of soft mode changes in the crossover. We also discuss some fluid-dynamic aspects of the crossover using these effective theories with particular focus on the shear viscosity. In addition to the study of soft modes, we show that the ``quantum fluctuation'' is present in the relativistic fermion system, which is in contrast to the usual Nozi`eres--Schmit-Rink (NSR) theory. We clarify the physical meaning of the quantum fluctuation, and find that it drastically increases the critical temperature in the weak coupling BCS regime.
(v3) 30 pages, 15 figures; discussion on the m->0 limit has been added. typos corrected. some new refs added
References in corpus (13)
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
- Weakly bound dimers of fermionic atoms
- Collective excitations of a degenerate gas at the BEC-BCS crossover
- Epsilon expansion for a Fermi gas at infinite scattering length
- Anomalous Viscosity of an Expanding Quark-Gluon Plasma
- Pion Condensation in Baryonic Matter: from Sarma Phase to Larkin-Ovchinnikov-Fudde-Ferrell Phase
- Novel Phases at High Density and their Roles in the Structure and Evolution of Neutron Stars
- Stability conditions and Fermi surface topologies in a superconductor
- Characterizing the Larkin-Ovchinnikov-Fulde-Ferrel phase induced by the chromomagnetic instability
- Chromomagnetic stability of the three flavor Larkin-Ovchinnikov-Fulde-Ferrell phase of QCD
- Stable gapless superconductivity at strong coupling
- Diquark Bose-Einstein Condensation and Nuclear Matter
Cited by in corpus (8)
- Bound diquarks and their Bose-Einstein condensation in strongly coupled quark matter
- Relativistic BCS-BEC Crossover at Finite Temperature and Its Application to Color Superconductivity
- BCS-BEC crossover in dense relativistic matter: Collective excitations
- Phase diagram of chiral quark matter: Fulde-Ferrell pairing from weak to strong coupling
- BCS-BEC crossover in a relativistic boson-fermion model beyond mean field approximation
- BCS BEC crossover and phase structure of relativistic system: a variational approach
- Unitary Fermi gas in the epsilon expansion
- Possible crossover from BCS superconductivity to Bose-Einstein condensate in quark matter