Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models

Abstract

We compute the magnetic susceptibility of the quark condensate and the polarization of quarks at zero temperature and in a uniform magnetic background. Our theoretical framework consists of two chiral models that allow to treat self-consistently the spontaneous breaking of chiral symmetry: the linear $\sigma -$model coupled to quarks, dubbed quark-meson model, and the Nambu-Jona-Lasinio model. We also perform analytic estimates of the same quantities within the renormalized quark-meson model, both in the regimes of weak and strong fields. Our numerical results are in agreement with the recent literature; moreover, we confirm previous Lattice findings, related to the saturation of the polarization at large fields.

13 pages, 4 figures

References in corpus (29)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The QCD transition temperature: results with physical masses in the continuum limit II.
• Equation of state and QCD transition at finite temperature
• Susceptibilities and the Phase Structure of a Chiral Model with Polyakov Loops
• The phase structure of the Polyakov--quark-meson model beyond mean field
• Superconductivity of QCD vacuum in strong magnetic field
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Chiral transition in a strong magnetic background
• 2+1 Flavor Polyakov--Nambu--Jona-Lasinio Model at Finite Temperature and Nonzero Chemical Potential
• Chiral crossover, deconfinement and quarkyonic matter within a Nambu-Jona Lasinio model with the Polyakov loop
• The chiral critical point of Nf=3 QCD at finite density to the order (mu/T)^4
• Critical endpoint in the Polyakov-loop extended NJL model
• The chiral condensate in a constant electromagnetic field
• Three flavor Nambu-Jona Lasinio model with Polyakov loop and competition with nuclear matter
• Chiral symmetry breaking with lattice propagators
• Chiral and deconfinement transition from correlation functions: SU(2) vs. SU(3)
• Chiral and deconfinement transition from Dyson-Schwinger equations
• The QCD Phase Boundary from Quark-Gluon Dynamics
• Determination of the magnetic susceptibility of the quark condensate using radiative heavy meson decays
• PNJL model with a Van der Monde term
• Infrared Gluon and Ghost Propagators
• Degrees of freedom and the phase transitions of two flavor QCD
• Mapping a Massless Scalar Field Theory on a Yang-Mills Theory: Classical Case
• Magnetic susceptibility of the QCD vacuum
• Effective models of two-flavor QCD: finite $\mu$ and $m_q$-dependence
• Hamiltonian Flow in Coulomb Gauge Yang-Mills Theory
• Probing the nucleon's transversity and the photon's distribution amplitude in lepton pair photoproduction
• Probing the QCD vacuum with an abelian chromomagnetic field: A study within an effective model
• Glueball spectrum and hadronic processes in low-energy QCD

Cited by in corpus (23)

• Charged and neutral vector meson under magnetic field
• NJL-type models in the presence of intense magnetic fields: the role of the regularization prescription
• Magnetic susceptibility of QCD matter and its decomposition from the lattice
• Heavy meson spectroscopy under strong magnetic field
• Landau levels in QCD
• Inverse catalysis effect of quark anomalous magnetic moment to chiral restoration and deconfinement phase transitions
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Strange quark matter in the presence of explicit symmetry breaking interactions
• Mass modification of hot pions in magnetized dense medium
• Quark anomalous magnetic moment leads to the inverse magnetic catalysis phenomena of chiral restoration and deconfinement phase transitions in ${\mu }_B-T$ plane
• Effect of strong magnetic field on competing order parameters in two-flavor dense quark matter
• Magnetic field dependence of nucleon parameters from QCD sum rules
• Effect of temperature and magnetic field on two-flavor superconducting quark matter
• Fluctuations and thermodynamic geometry of the chiral phase transition
• Chiral Perturbation Theory Analysis of the Quark Condensate in a Magnetic Field
• Thermodynamic properties of QCD in external magnetic fields
• Pion Pressure in a Magnetic Field
• Magnetic field effect on pion superfluid
• The Chiral Phase Transitions of Helical Matter
• Dimensional reduction and the generalized pion in a magnetic field within the NJL model
• Fate of the first-order chiral phase transition in QCD: Implications for dark QCD studied via a Nambu-Jona-Lasinio model
• First-order CP phase transition in two-flavor QCD at $\theta =\pi$ under electromagnetic scale anomaly via a Nambu-Jona-Lasinio description
• Topological and magnetic properties of the QCD vacuum probed by overlap fermions