2000/04/25 by Youngman Kim, Kim, Youngman, Mannque Rho +1
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th) #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics
paper · pdf · doi:10.48550/arxiv.nucl-th/0004054
openalex publication_date 2000/04/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the competition between induced symmetry breaking (ISB), Cooper pairing (superconductivity) and chiral condensation at finite non-asymptotic density. Using a quantum mechanical model studied recently by Ilieva and Thirring, we analyze the expectation value of the fermion number density \la a^*a\ra in the presence of chemical potential and discuss relevance of the ISB phenomenon in the model. By Bogoliubov transformation, we obtain the ground state energy and find that a phase with both superconducting and mean field gap is a true ground state. We also study the effective potentials of a two-dimensional field theory model for competitions between \laψψ\ra, \laψψ\ra and \laψ^†ψ\ra. We find that in the regime μμc the system sits in the mixed phase characterized by \la ψ^†ψ\ra≠ 0 and \la ψψ\ra≠ 0 as long as the renormalization point, M0, corresponding to a superconducting gap is not zero, M0≠ 0.