Properties of neutral mesons in a hot and magnetized quark matter

Abstract

The properties of non-interacting $\sigma$ and ${\pi }^0$ mesons are studied at finite temperature, chemical potential and in the presence of a constant magnetic field. To do this, the energy dispersion relations of these particles, including nontrivial form factors, are derived using a derivative expansion of the effective action of a two-flavor, hot and magnetized Nambu--Jona-Lasinio (NJL) model up to second order. The temperature dependence of the pole and screening masses as well as the directional refraction indices of magnetized neutral mesons are explored for fixed magnetic fields and chemical potentials. It is shown that, because of the explicit breaking of the Lorentz invariance by the magnetic field, the refraction index and the screening mass of neutral mesons exhibit a certain anisotropy in the transverse and longitudinal directions with respect to the direction of the external magnetic field. In contrast to their longitudinal refraction indices, the transverse indices of the neutral mesons are larger than unity.

V1: 26 pages, 15 figures; V2: Discussions improved, references added. Version accepted for publication in PRD

References in corpus (17)

• The Chiral Magnetic Effect
• QCD quark condensate in external magnetic fields
• Equation of State of a Dense and Magnetized Fermion System
• QCD Phase Transition in a Strong Magnetic Background
• Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
• Inverse magnetic catalysis in dense holographic matter
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Chiral transition in a strong magnetic background
• Color-flavor locked superconductor in a magnetic field
• Color superconducting matter in a magnetic field
• Chiral perturbation theory in a magnetic background - finite-temperature effects
• The chiral transition in a magnetic background: Finite density effects and the functional renormalization group
• Symmetry restoration at finite temperature with weak magnetic fields
• Improved ring potential of QED at finite temperature and in the presence of weak and strong magnetic field
• Dynamics of O(N) Model in a Strong Magnetic Background Field as a Modified Noncommutative Field Theory
• Magnetic field driven instability in planar NJL model in real-time formalism
• Chiral MHD description of a perfect magnetized QGP using the effective NJL model in a strong magnetic field

Cited by in corpus (86)

• Bulk Properties of a Fermi Gas in a Magnetic Field
• Charmonia and Bottomonia in a Magnetic Field
• ${\pi }_0$ pole mass calculation in a strong magnetic field and lattice constraints
• Anomalous magnetic moment of hot quarks, inverse magnetic catalysis and reentrance of chiral symmetry broken phase
• Inverse Magnetic Catalysis in Nambu--Jona-Lasinio Model beyond Mean Field
• Weak decay constant of neutral pions in a hot and magnetized quark matter
• Electromagnetic spectral properties and Debye screening of a strongly magnetized hot medium
• Chiral dynamics in a magnetic field from the functional renormalization group
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• Heavy quark complex potential in a strongly magnetized hot QGP medium
• Inverse magnetic catalysis in field theory and gauge-gravity duality
• Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model
• Properties of magnetized neutral mesons within a full RPA evaluation
• Effect of the anomalous magnetic moment of quarks on magnetized QCD matter and meson spectra
• Anisotropic pressure of deconfined QCD matter in presence of strong magnetic field within one-loop approximation
• Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
• Pions in magnetic field at finite temperature
• Charged pion masses under strong magnetic fields in the NJL model
• Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
• Dilepton production rate in a hot and magnetized quark-gluon plasma
• Magnetic field-dependence of the neutral pion mass in the linear sigma model coupled to quarks: The weak field case
• Meson properties in magnetized quark matter
• Heavy meson spectroscopy under strong magnetic field
• Neutral and charged pion properties under strong magnetic fields in the NJL model
• Inverse magneto-rotational catalysis and the phase diagram of a rotating hot and magnetized quark matter
• One-loop QCD thermodynamics in a strong homogeneous and static magnetic field
• Pressure of a weakly magnetized hot and dense deconfined QCD matter in one-loop hard-thermal-loop perturbation theory
• Neutral meson properties under an external magnetic field in nonlocal chiral quark models
• Weak decay of magnetized pions
• Pion decay constants in a strong magnetic field
• Effect of Quark Dimension Reduction on Goldstone Mode in Magnetic Field
• Chiral condensates and screening masses of neutral pseudoscalar mesons in thermomagnetic QCD medium
• Effects of quark anomalous magnetic moment on the thermodynamical properties and mesonic excitations of magnetized hot and dense matter in PNJL model
• Quark matter under strong magnetic fields in SU(2) NJL-type models: parameter dependence of the cold dense matter phase diagram
• Effects of anomalous magnetic moment of quarks on the dilepton production from hot and dense magnetized quark matter using the NJL model
• Regularizing thermo and magnetic contributions within nonrenormalizable theories
• The pole and screening masses of neutral pion in hot and magnetized medium: a comprehensive study in the Nambu--Jona-Lasinio model
• Dilepton production from magnetized quark matter with an anomalous magnetic moment of the quarks using a three-flavor PNJL model
• Neutral pion mass in the linear sigma model coupled to quarks at arbitrary magnetic field
• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Neutrality of a magnetized two-flavor quark superconductor
• Magnetic corrections to the boson self-coupling and boson-fermion coupling in the linear sigma model with quarks
• Thermo-magnetic spectral properties of neutral mesons in vector and axial-vector channels using NJL model
• Extracting the magnitude of magnetic field at freeze-out in heavy-ion collisions
• Magnetism of QCD matter and pion mass from tensor-type spin polarization and anomalous magnetic moment of quarks
• Impacts of (inverse) magnetic catalysis on screening masses of neutral pions and sigma mesons in hot and magnetized quark matter
• General structure of fermion two-point function and its spectral representation in a hot magnetised medium
• Regularization of the Nambu-Jona Lasinio model under a uniform magnetic field and the role of the anomalous magnetic moments
• Light pseudo-scalar meson masses under strong magnetic fields within the SU(3) Nambu-Jona-Lasinio model
• Effects of the quark anomalous magnetic moment in the chiral symmetry restoration: magnetic catalysis and inverse magnetic catalysis
• Chiral Symmetry Restoration and Quark Deconfinement beyond Mean Field in a Magnetized PNJL Model
• Mass spectra of neutral mesons $K_0,{\pi }_0,\eta ,{\eta }^{\prime }$ at finite magnetic field, temperature and baryon chemical potential
• Magnetized plasminos in cold and hot QED plasmas
• Charged pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model
• Modification of the masses of the lightest neutral mesons in a hadronic medium under an external magnetic field
• Further Investigation on Model-Independent Probe of Heavy Neutral Higgs Bosons at the LHC Run 2
• Neutral pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model: mixing effects
• Wigner function formalism and the evolution of thermodynamic quantities in an expanding magnetized plasma
• Anisotropic tomography of heavy quark dissociation by using general propagator structure at finite magnetic field
• Pion-to-vacuum vector and axial vector amplitudes and weak decays of pions in a magnetic field
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• Thermomagnetic modification of the anomalous magnetic moment of quarks using the NJL model
• Magnetic catalysis and diamagnetism from pion fluctuations
• Boundary effects on constituent quark masses and on chiral susceptibility in a four-fermion interaction model
• Second-order quark number susceptibility of deconfined QCD matter in the presence of a magnetic field
• Insignificance of the anomalous magnetic moment of the quarks in presence of chiral imbalance
• Strongly Magnetized Hot QCD Matter and Stochastic Gravitational Wave Background
• Cumulative effects of collision integral, strong magnetic field, and quasiparticle description on charge and heat transport in thermal QCD medium
• Effects of the anomalous magnetic moments of the quarks on the neutral pion properties within a SU(2) Nambu-Jona Lasinio model
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Magnetic field dependence of the neutral pion longitudinal screening mass in the linear sigma model with quarks
• An effective field theory for warm QCD
• Finite temperature QCD four-point function in the presence of a weak magnetic field within the hard thermal loop approximation
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• Diquark and nucleons under strong magnetic fields in the NJL model
• Magnetized pole-mass of neutral $\rho$ meson within full RPA evaluation
• Dilepton production from chirally asymmetric matter
• Paramagnetic squeezing of a uniformly expanding quark-gluon plasma in and out of equilibrium
• Strongly interacting matter in extreme magnetic fields
• Mass Spectra and Decay of Mesons under Strong External Magnetic Field
• Medium separation scheme effects on the magnetized and cold two-flavor superconducting quark matter
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model
• Light mesons around critical end points in $T-{\mu }_B-{\mu }_I-eB$ space
• Non-perturbative study of spectral function and its application in Quark Gluon Plasma
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field