Magnetic Oscillations in Dense Cold Quark Matter with Four-Fermion Interactions

Abstract

The phase structures of Nambu-Jona-Lasinio models with one or two flavours have been investigated at non-zero values of $\mu$ and $H$, where $H$ is an external magnetic field and $\mu$ is the chemical potential. In the phase portraits of both models there arise infinitely many massless chirally symmetric phases, as well as massive ones with spontaneously broken chiral invariance, reflecting the existence of infinitely many Landau levels. Phase transitions of first and second orders and a lot of tricritical points have been shown to exist in phase diagrams. In the massless case, such a phase structure leads unavoidably to the standard van Alphen-de Haas magnetic oscillations of some thermodynamical quantities, including magnetization, pressure and particle density. In the massive case we have found an oscillating behaviour not only for thermodynamical quantities, but also for a dynamical quantity as the quark mass. Besides, in this case we have non-standard, i.e. non-periodic, magnetic oscillations, since the frequency of oscillations is an $H$-dependent quantity.

latex, 29 pages, 8 figures

References in corpus (13)

• QCD at Finite Baryon Density: Nucleon Droplets and Color Superconductivity
• Diquark Bose Condensates in High Density Matter and Instantons
• Color Superconductivity and Chiral Symmetry Restoration at Nonzero Baryon Density and Temperature
• Quark condensate in a magnetic field
• The phase diagram and bulk thermodynamical quantities in the NJL model at finite temperature and density
• Dynamical symmetry breaking in curved spacetime -review-
• Chiral Symmetry Breaking in the Nambu-Jona-Lasinio Model in External Constant Electromagnetic Field
• Dynamical symmetry breaking in the external gravitational and constant magnetic fields
• Chiral phase transitions in strong chromomagnetic fields at finite temperature and dimensional reduction
• Boundary Effects in the Magnetic Catalysis of Chiral Symmetry Breaking
• New phase structure of the Nambu -- Jona - Lasinio model at nonzero chemical potential
• Electromagnetic Fields in the QCD Vacuum
• Dynamical symmetry breaking in the Nambu-Jona-Lasino model with external gravitational and constant electric fields

Cited by in corpus (121)

• Equation of State of a Dense and Magnetized Fermion System
• QCD Phase Transition in a Strong Magnetic Background
• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• Superconductivity of QCD vacuum in strong magnetic field
• Inverse magnetic catalysis in dense holographic matter
• Chiral Properties of Strong Interactions in a Magnetic Background
• Quark matter under strong magnetic fields in the su(3) Nambu-Jona-Lasinio Model
• Color-flavor locked superconductor in a magnetic field
• Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
• Analogy between rotation and density for Dirac fermions in a magnetic field
• Color superconducting matter in a magnetic field
• Equation of state for the MCFL phase and its implications for compact star models
• The chiral condensate in a constant electromagnetic field
• Chiral density waves in quark matter within the Nambu--Jona-Lasinio model in an external magnetic field
• Boundary effects and gapped dispersion in rotating fermionic matter
• Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field
• New look at the QCD ground state in a magnetic field
• The influence of strong magnetic fields and instantons on the phase structure of the two-flavor NJL model
• Quark droplets stability induced by external magnetic field
• Phase diagram of hot magnetized two-flavor color superconducting quark matter
• Two-color QCD with staggered fermions at finite temperature under the influence of a magnetic field
• Normal ground state of dense relativistic matter in a magnetic field
• Magnetic polarizabilities of light mesons in $SU(3)$ lattice gauge theory
• QCD vacuum structure in strong magnetic fields
• The influence of strong magnetic fields on proto-quark stars
• Inverse magnetic catalysis in field theory and gauge-gravity duality
• The chiral transition in a magnetic background: Finite density effects and the functional renormalization group
• Hadronic and hybrid stars subject to density dependent magnetic fields
• Chiral transition in a magnetic field and at finite baryon density
• Abnormal number of Nambu-Goldstone bosons in the color-asymmetric 2SC phase of an NJL-type model
• Vacuum structure and chiral symmetry breaking in strong magnetic fields for hot and dense quark matter
• NJL-type models in the presence of intense magnetic fields: the role of the regularization prescription
• Chiral and deconfinement transitions in a magnetic background using the functional renormalization group with the Polyakov loop
• Magnetic catalysis in nuclear matter
• Effects of chiral imbalance and magnetic field on pion superfluidity and color superconductivity
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• Heavy meson spectroscopy under strong magnetic field
• Stability windows for proto-quark stars
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Holographic baryonic matter in a background magnetic field
• Repulsive Vector Interaction in Three Flavor Magnetized Quark and Stellar Matter
• Inverse magnetic catalysis and regularization in the quark-meson model
• Phase transition and critical end point driven by an external magnetic field in asymmetric quark matter
• Cooper Pair's Magnetic Moment in MCFL Color Superconductivity
• Magnetized color superconducting cold quark matter within the SU(2)${}_f$ NJL model: a novel regularization scheme
• The Influence of an External Chromomagnetic Field on Color Superconductivity
• A self-consistent study of magnetic field effects on hybrid stars
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• The Surface Tension of Magnetized Quark Matter
• Neutral meson properties under an external magnetic field in nonlocal chiral quark models
• $\rho$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• Pion, sigma-meson and diquarks in the 2SC phase of dense cold quark matter
• BEC-BCS crossover in a cold and magnetized two color NJL model
• Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Quark matter under strong magnetic fields in SU(2) NJL-type models: parameter dependence of the cold dense matter phase diagram
• Unusual bound states of quark matter within the NJL model
• The influence of a repulsive vector coupling in magnetized quark matter
• Regularizing thermo and magnetic contributions within nonrenormalizable theories
• Chiral asymmetry and axial anomaly in magnetized relativistic matter
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL${}_2$ model
• Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Surface Magnetic Catalysis
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Hybrid chiral condensate in the external magnetic field
• Pion condensation of quark matter in the static Einstein universe
• Chromomagnetic Catalysis of Color Superconductivity in a (2+1)-dimensional NJL Model
• Mesons and diquarks in the color neutral 2SC phase of dense cold quark matter
• Does there arise a significant enhancement of the dynamical quark mass in external magnetic field?
• The chiral condensate in a constant electromagnetic field at O(p^6)
• Quantum chromodynamics axion in a hot and magnetized medium
• Inverse magnetic catalysis and confinement within a contact interaction model for quarks
• Duality between chiral symmetry breaking and charged pion condensation at large $N_c$: Consideration of an NJL${}_2$ model with baryon-, isospin- and chiral isospin chemical potentials
• Deconfinement and chiral phase transitions in quark matter with a strong electric field
• Restoration of Dynamically Broken Chiral and Color Symmetries for an Accelerated Observer
• Dynamical chiral symmetry breaking in the NJL model with a constant external magnetic field
• Magnetization of the QCD vacuum at large fields
• Two-color QCD in a strong magnetic field: The role of the Polyakov loop
• Phase diagram of the magnetized planar Gross-Neveu model beyond the large-N approximation
• Phase structure of cold magnetized quark matter within the SU(3) NJL model
• CP violation and chiral symmetry breaking in hot and dense quark matter in presence of magnetic field
• Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments
• Multiple critical end points in magnetized three flavor quark matter
• Effects of the quark anomalous magnetic moment in the chiral symmetry restoration: magnetic catalysis and inverse magnetic catalysis
• Quark and pion condensation in a chromomagnetic background field
• Magnetized color superconducting quark matter under compact star conditions: Phase structure within the SU(2)f NJL model
• Solitonic modulation and Lifshitz point in an external magnetic field within Nambu--Jona-Lasinio model
• Magnetic catalysis effect in (2+1)-dimensional Gross--Neveu model with Zeeman interaction
• Chiral susceptibility in Nambu Jona Lasinio model: a Wigner function approach
• Magnetic Tuning of the Relativistic BCS-BEC Crossover
• Mean-field expansion and meson effects in chiral condensate of analytically regularized Nambu -- Jona-Lasinio model
• Quantum version of transport coefficients in Nambu--Jona-Lasinio model at finite temperature and strong magnetic field
• Color superconductivity in the static Einstein Universe
• Effects of the anomalous magnetic moments of the quarks on the neutral pion properties within a SU(2) Nambu-Jona Lasinio model
• Schwinger mechanism in the SU(3) Nambu--Jona-Lasinio model with an electric field
• Magnetic-Field Induced Critical Endpoint
• Surprises in relativistic matter in a magnetic field
• Cold magnetized quark matter at finite density in a nonlocal chiral quark model
• Phase diagram for strongly interacting matter in the presence of a magnetic field using the Polyakov-Nambu-Jona-Lasinio model with magnetic field dependent coupling strengths
• QCD phase diagram in the $T-eB$ plane for varying pion mass
• Effects of the temperature and magnetic-field dependent coupling on the properties of QCD matter
• Response to an External Magnetic Field of the Decay Rate of a Neutral Scalar Field into a Charged Fermion Pair
• Landau levels of cold dense quark matter in a strong magnetic field
• Gravitational collapse of a magnetized fermion gas with finite temperature
• Influence of Dark Matter on the Magnetized Neutron Star
• Vacuum effects on the properties of nuclear matter under an external magnetic field
• QCD Corrections to QED Vacuum Polarization
• Affinity of NJL${}_2$ and NJL${}_4$ model results on duality and pion condensation in chiral asymmetric dense quark matter
• QCD chiral condensate and pseudoscalar-meson properties in the nuclear medium at finite temperature
• Self-consistent thermodynamic potential for magnetized QCD matter
• Study of the Roberge-Weiss phase caused by external uniform classical electric field using lattice QCD approach
• Medium separation scheme effects on the magnetized and cold two-flavor superconducting quark matter
• The chiral phase transition and equation of state in the chiral imbalance
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model
• Model studies of the chiral and deconfinement transitions in QCD
• The compressibility of quark matter under strong magnetic field in the NJL model
• Nambu--Jona-Lasinio $SU(3)$ model constrained by lattice QCD: thermomagnetic effects in the magnetization
• Electrical Neutrality and Symmetry Restoring Phase Transitions at High Density in a Two-Flavor Nambu-Jona-Lasinio Model