Dimensional reduction and the generalized pion in a magnetic field within the NJL model
arXiv:2202.05090 · doi:10.1103/PhysRevD.107.074038
Abstract
In this work, the mass of the neutral pion is investigated in the presence of background magnetic fields in the framework of the Nambu--Jona-Lasinio model. Taking into account the anisotropic four-fermion interactions, a tensor current arises in the magnetized QCD system, which forms an anomalous magnetic moment (AMM) coupling in the Dirac equation for the quarks. By solving the gap equations, we find that the sign of the dynamically generated AMM is opposite to the sign of the quark's charge and its magnitude is definitely smaller than the constituent mass. We construct two generalized Nambu-Goldstone pions, which emerge as combinations of the quantum fluctuations around the conventional scalar and the emergent tensor chiral condensates. We analytically demonstrate that the Goldstone nature has been spoiled by the dimensional reduction in the two-particle state and the corresponding decreasing mass of the lighter generalized pionic mode is a remnant of the infrared dynamics.
arXiv comment12 pages, 1 figure, journal accepted version
References in corpus (53)
- Estimate of the magnetic field strength in heavy-ion collisions
- Magnetars
- Event-by-event generation of electromagnetic fields in heavy-ion collisions
- Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
- Dimensional Reduction and Catalysis of Dynamical Symmetry Breaking by a Magnetic Field
- "Strongly interacting matter in magnetic fields": an overview
- Pion Superfluidity and Meson Properties at Finite Isospin Density
- Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
- Pion electromagnetic form factor at spacelike momenta
- Dressed-quark anomalous magnetic moments
- Charged vector mesons in a strong magnetic field
- Meson masses in electromagnetic fields with Wilson fermions
- Phase structure, collective modes, and the axial anomaly in dense QCD
- pole mass calculation in a strong magnetic field and lattice constraints
- New look at the QCD ground state in a magnetic field
- QCD phase diagram in a magnetic background for different values of the pion mass
- Anomalous magnetic moment of hot quarks, inverse magnetic catalysis and reentrance of chiral symmetry broken phase
- Chiral perturbation theory in a magnetic background - finite-temperature effects
- Chiral Soliton Lattice and Charged Pion Condensation in Strong Magnetic Fields
- Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
- Magnetic catalysis and inverse catalysis for heavy pions
- Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature
- Thermal pions in a magnetic background
- Gell-Mann - Oakes - Renner relation in a magnetic field at finite temperature
- Dynamically Induced Zeeman Effect in Massless QED
- Properties of magnetized neutral mesons within a full RPA evaluation
- Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
- Effect of the anomalous magnetic moment of quarks on magnetized QCD matter and meson spectra
- Properties of Mesons in a Strong Magnetic Field
- The Anomalous Magnetic Moment of Quarks
- Pions in magnetic field at finite temperature
- Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
- Meson properties in magnetized quark matter
- Neutral and charged pion properties under strong magnetic fields in the NJL model
- Pion condensation in the early Universe at nonvanishing lepton flavor asymmetry and its gravitational wave signatures
- How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid
- Inverse catalysis effect of quark anomalous magnetic moment to chiral restoration and deconfinement phase transitions
- Weak decay of magnetized pions
- Pion light-front wave function, parton distribution and the electromagnetic form factor
- The pole and screening masses of neutral pion in hot and magnetized medium: a comprehensive study in the Nambu--Jona-Lasinio 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
- Novel Topological Effects in Dense QCD in a Magnetic Field
- Instanton Contribution to the Pion Electro-Magnetic Formfactor at Q^2 > 1 GeV^2
- More on the Tensor Response of the QCD Vacuum to an External Magnetic Field
- Effects of the anomalous magnetic moments of the quarks on the neutral pion properties within a SU(2) Nambu-Jona Lasinio model
- Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics
- When cold, dense quarks in 1+1 and 3+1 dimensions are not a Fermi liquid
- Exposing the effect of -wave in pion triplet under the strong magnetic field
- Spin polarized phases in strongly interacting matter: interplay between axial-vector and tensor mean fields
- Spin polarization in high density quark matter under a strong external magnetic field
- The Pauli Form Factor of Quark and Nontrivial Topological Structure of the QCD
- Generalized Nambu-Goldstone pion in dense matter: a schematic NJL model