Numerical Portrait of a Relativistic BCS Gapped Superfluid

Abstract

We present results of numerical simulations of the 3+1 dimensional Nambu - Jona-Lasinio (NJL) model with a non-zero baryon density enforced via the introduction of a chemical potential mu not equal to 0. The triviality of the model with a number of dimensions d>=4 is dealt with by fitting low energy constants, calculated analytically in the large number of colors (Hartree) limit, to phenomenological values. Non-perturbative measurements of local order parameters for superfluidity and their related susceptibilities show that, in contrast to the 2+1 dimensional model, the ground-state at high chemical potential and low temperature is that of a traditional BCS superfluid. This conclusion is supported by the direct observation of a gap in the dispersion relation for 0.5<=(mu a)<=0.85, which at (mu a)=0.8 is found to be roughly 15% the size of the vacuum fermion mass. We also present results of an initial investigation of the stability of the BCS phase against thermal fluctuations. Finally, we discuss the effect of splitting the Fermi surfaces of the pairing partners by the introduction of a non-zero isospin chemical potential.

arXiv comment41 pages, 19 figures, uses axodraw.sty, v2: minor typographical corrections

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Cited by in corpus (18)

• Color superconductivity in dense quark matter
• NJL-model analysis of dense quark matter
• A calculation of the QCD phase diagram at finite temperature, and baryon and isospin chemical potentials
• Chiral dynamics in QCD at finite chemical potential
• Two flavor color superconductivity in nonlocal chiral quark models
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Regularization effects in the Nambu-Jona-Lasinio model: Strong scheme dependence of inhomogeneous phases and persistence of the moat regime
• Monte Carlo simulations of the NJL model near the nonzero temperature phase transition
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• Monte Carlo Study of Strongly-Interacting Degenerate Fermions: a Model for Voltage-Biased Bilayer Graphene
• Mitigating the sign problem for non-relativistic fermions on the lattice
• Zero Lattice Sound
• Supercurrent Flow in NJL_{2+1} at High Baryon Density
• The Lattice NJL Model at Non-zero Baryon and Isospin Densities
• Can we study Quark Matter in the Quenched Approximation?
• An Effective Model for Glueballs and Dual Superconductivity at Finite Temperature
• Strong Interaction Effects at a Fermi Surface in a Model for Voltage-Biased Bilayer Graphene
• Thermal Phase Transition in the NJL Model of QCD