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Dynamical chiral symmetry breaking and superconductivity in the supersymmetric Nambu–Jona-Lasinio model at finite temperature and density

2005/09/30 by Tadafumi Ohsaku · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.1016/j.physletb.2006.01.049

published as Phys.Lett.B634:285-294,2006; Erratum-ibid.B664:316-317,2008 · 10 pages, 5 figures, with erratum. Phys.Lett. B634 (2006) 285-294, erratum accepted for publication in Phys. Lett. B (2008)

openalex publication_date 2006/02/04 · arxiv created 2008/04/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate the dynamical chiral symmetry breaking (DCSB) and superconductivity in a supersymmetric model at finite temperature and density. We employ the N=1 four-dimensional generalized supersymmetric Nambu–Jona-Lasinio model (N=1 generalized SNJL4) with a chemical potential as the model Lagrangian, and select the gauge freedom as U(1). In order to realize the DCSB and BCS-type superconductivity in this model, we introduce a SUSY soft mass term. Under the finite-temperature Matsubara formalism, the effective potential and the gap equations are derived in the flamework of the large-N expansion. The finite-density effect in the DCSB is shown by the critical coupling. The roles of both the boson and fermion sectors in the superconductivity are examined by the quasiparticle excitation spectra and the gap equations.

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