BCS-BEC crossover in dense relativistic matter: Collective excitations

Abstract

We study the relativistic BCS-BEC crossover within a class of Nambu-Jona-Lasinio type models, including arbitrary Lorentz-scalar pairing channels. Using the mean-field approximation we investigate spectral properties of the collective bosonic excitations in the superfluid phase, with particular attention to the Nambu--Goldstone bosons of the broken symmetry. This is a first step towards a systematic improvement of the mean-field approximation by including the fluctuation effects. The general results are illustrated on pairing in dense two-flavor quark matter - the two-flavor color superconductor.

12 pages, REVTeX4, 7 eps figures; v2: expanded introduction, added references; version to appear in Phys. Rev. D

References in corpus (35)

• Observation of resonance condensation of fermionic atom pairs
• NJL-model analysis of dense quark matter
• Condensation of Pairs of Fermionic Atoms Near a Feshbach Resonance
• Experimental Study of the BEC-BCS Crossover Region in Lithium 6
• BCS-BEC Crossover: From High Temperature Superconductors to Ultracold Superfluids
• Crossover from a molecular Bose-Einstein condensate to a degenerate Fermi gas
• Superfluid Fermi Gases with Large Scattering Length
• Theory of the Weakly Interacting Bose Gas
• The Quark-Gluon Plasma in Equilibrium
• Thermodynamics of the BCS-BEC crossover
• Critical Temperature and Thermodynamics of Attractive Fermions at Unitarity
• Phase Fluctuations and Pseudogap Phenomena
• Quantum Fluctuations in the Superfluid State of the BCS-BEC Crossover
• Kaon Condensation and Goldstone's Theorem
• BEC-BCS Crossover in the Nambu--Jona-Lasinio Model of QCD
• BCS-BEC crossover in a relativistic superfluid and its significance to quark matter
• BCS/BEC crossover in Quark Matter and Evolution of its Static and Dynamic properties
• Abnormal number of Nambu-Goldstone bosons in the color-asymmetric 2SC phase of an NJL-type model
• Structural Change of Cooper Pairs and Momentum-dependent Gap in Color Superconductivity
• Neutrino emission and cooling rates of spin-one color superconductors
• Relativistic BCS-BEC crossover in a boson-fermion model
• Nonlinear sigma model approach for phase disorder transitions and the pseudogap phase in chiral Gross-Neveu, Nambu-Jona-Lasinio models and strong-coupling superconductors
• The (2+1)-dimensional Gross-Neveu model with a U(1) chiral symmetry at non-zero temperature
• Pion, sigma-meson and diquarks in the 2SC phase of dense cold quark matter
• Pseudogap of Color Superconductivity in Heated Quark Matter
• Relativistic BCS-BEC Crossover at Zero Temperature
• Relativistic BCS-BEC Crossover at Finite Temperature and Its Application to Color Superconductivity
• Goldstone boson counting in linear sigma models with chemical potential
• Spatial structure of quark Cooper pairs in a color superconductor
• Nonlinear sigma model approach for chiral fluctuations and symmetry breakdown in Nambu-Jona-Lasinio model
• Mass spectrum of diquarks and mesons in the color--flavor locked phase of dense quark matter
• Goldstone bosons in presence of charge density
• Nambu Jona-Lasinio Model of \bar q q Bose Einstein Condensation and pseudogap phase
• Diquark Bose-Einstein condensation
• Bogoliubov theory of Feshbach molecules in the BEC-BCS crossover

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• Dynamic density and spin responses of a superfluid Fermi gas in the BCS-BEC crossover: Path integral formulation and pair fluctuation theory
• Thin accretion disks around cold Bose-Einstein Condensate stars
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• Quark-Hadron Matter at Finite Temperature and Density in a Two-Color PNJL model
• Strongly interacting Fermi systems in 1/N expansion: From cold atoms to color superconductivity
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• 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
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• Pionic BEC--BCS crossover at finite isospin chemical potential
• Non-Hermitian BCS-BEC crossover of Dirac fermions
• Helical ordering in the ground state of spin-one color superconductors as a consequence of parity violation
• Relativistic BCS-BEC crossover of a two-species Fermi gas with number density asymmetry at zero temperature
• Compact stars in the Einstein dark energy model
• BCS-BEC Crossover and Stability in a Nambu-Jona-Lasinio Model with Diquark-Diquark Repulsion
• Equation of State in a Strongly Interacting Relativistic System
• Some aspects of color superconductivity: an introduction
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• Some recent progress on quark pairings in dense quark and nuclear matter
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