In the NJL model with exact phase-space diagonalization, magnetic catalysis of the chiral condensate quenches the tachyonic instability of the spin-aligned rho+ by driving the 2M threshold above the Zeeman-lowered mass, preventing condensation.
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Phase diagram of QCD in a magnetic field: A review
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We review in detail recent advances in our understanding of the phase structure and the phase transitions of hadronic matter in strong magnetic fields $B$ and zero quark chemical potentials $\mu_f$. Many aspects of QCD are described using low-energy effective theories and models such as the MIT bag model, the hadron resonance gas model, chiral perturbation theory, the Nambu-Jona-Lasinio (NJL) model, the quark-meson (QM) model and Polyakov-loop extended versions of the NJL and QM models. We critically examine their properties and applications. This includes mean-field calculations as well as approaches beyond the mean-field approximation such as the functional renormalization group (FRG). Renormalization issues are discussed and the influence of the vacuum fluctuations on the chiral phase transition is pointed out. Magnetic catalysis at $T=0$ is covered as well. We discuss recent lattice results for the thermodynamics of nonabelian gauge theories with emphasis on $SU(2)_c$ and $SU(3)_c$. In particular, we focus on inverse magnetic catalysis around the transition temperature $T_c$ as a competition between contributions from valence quarks and sea quarks resulting in a decrease of $T_c$ as a function of $B$. Finally, we discuss recent efforts to modify models in order to reproduce the behavior observed on the lattice.
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Next-to-leading order chiral perturbation theory yields renormalized magnetic masses and decay constants for the meson octet, with neutral pion mass decreasing, neutral kaon mass unchanged, charged meson masses modified identically, and all decay constants increasing monotonically.
Magnetic translation symmetry in QFT with external magnetic field forces charged operator two-point functions to factor into a Schwinger phase times a reduced correlator depending only on relative coordinates.
Finite-size effects in the nonlocal PNJL model shift the critical end point of magnetized quark matter toward higher chemical potentials and lower temperatures as droplet radius decreases.
Complete one-loop self-energies computed for the linear sigma model with quarks at finite temperature and magnetic field via Matsubara and Schwinger/Ritus formalisms.
Continuum-extrapolated lattice simulations show monotonic magnetic catalysis in chiral condensates, non-monotonic charged-meson mass response, and valence-quark dominance at zero temperature up to eB ≈ 1.2 GeV².
A quark-meson model with lattice-fitted temperature-dependent quark masses and anomalous magnetic moments reproduces the magnetic susceptibility of hot hadronic matter up to the QCD crossover, showing quarks are active below 120 MeV.
Optimal bounds from current-density calculations constrain the energy density versus number density in the massive Thirring/sine-Gordon model by a factor of two at high densities for any coupling, with the lower bound becoming exact at low densities.
In the two-flavor linear sigma model with quarks, the chiral phase transition at T=0 is first order and occurs at a quark chemical potential equal to the vacuum quark mass.
Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.
In the two-flavor NJL model with anomalous magnetic moment of quarks, external magnetic field produces inverse magnetic catalysis and a magnetic-field-dependent drop in the Mott temperature for the Goldstone mode.
Neutral mesons conserve continuous transverse momenta in magnetic fields while charged mesons exhibit quantized transverse dynamics, with high-spin charged mesons stabilized by cancellation of internal zero-point energy against orbital Zeeman energy.
Pion spectral functions in magnetic fields develop multi-peak structures for neutral pions from Landau levels and Landau cuts for charged pions, with decay widths narrowing at higher temperatures indicating increased stability.
Review of MFIR and MSS schemes showing the superconducting gap stays finite at high chemical potential in magnetized cold quark matter with no zero-temperature transition to normal phase.
citing papers explorer
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Mass spectra of charged mesons and the quenching of vector meson condensation via exact phase-space diagonalization
In the NJL model with exact phase-space diagonalization, magnetic catalysis of the chiral condensate quenches the tachyonic instability of the spin-aligned rho+ by driving the 2M threshold above the Zeeman-lowered mass, preventing condensation.
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Meson Octet in a Uniform Magnetic Field
Next-to-leading order chiral perturbation theory yields renormalized magnetic masses and decay constants for the meson octet, with neutral pion mass decreasing, neutral kaon mass unchanged, charged meson masses modified identically, and all decay constants increasing monotonically.
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Magnetic Symmetries and the Structure of Correlation Functions in Quantum Field Theory
Magnetic translation symmetry in QFT with external magnetic field forces charged operator two-point functions to factor into a Schwinger phase times a reduced correlator depending only on relative coordinates.
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Finite-Size Effects on the Critical End Point of Magnetized Quark Matter in the Nonlocal PNJL Model
Finite-size effects in the nonlocal PNJL model shift the critical end point of magnetized quark matter toward higher chemical potentials and lower temperatures as droplet radius decreases.
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Complete one-loop self-energies of the linear sigma model coupled to quarks at finite temperature and in a magnetic field
Complete one-loop self-energies computed for the linear sigma model with quarks at finite temperature and magnetic field via Matsubara and Schwinger/Ritus formalisms.
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Chiral Properties of $(2\!+\!1)$-Flavor QCD in Magnetic Fields at Zero Temperature
Continuum-extrapolated lattice simulations show monotonic magnetic catalysis in chiral condensates, non-monotonic charged-meson mass response, and valence-quark dominance at zero temperature up to eB ≈ 1.2 GeV².
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Magnetic susceptibility of a hot hadronic medium and quark degrees of freedom near the QCD cross-over point
A quark-meson model with lattice-fitted temperature-dependent quark masses and anomalous magnetic moments reproduces the magnetic susceptibility of hot hadronic matter up to the QCD crossover, showing quarks are active below 120 MeV.
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The massive Thirring / sine-Gordon model with non-zero current density
Optimal bounds from current-density calculations constrain the energy density versus number density in the massive Thirring/sine-Gordon model by a factor of two at high densities for any coupling, with the lower bound becoming exact at low densities.
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Chiral first order phase transition at finite baryon density and zero temperature from self-consistent pole masses in the linear sigma model with quarks
In the two-flavor linear sigma model with quarks, the chiral phase transition at T=0 is first order and occurs at a quark chemical potential equal to the vacuum quark mass.
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Minimal superfluid vortices in chiral perturbation theory
Leading order chiral perturbation theory yields the minimal energy condition for vortex nucleation in the pion condensed phase, with vortices carrying quantized angular momentum and self-confining pions.
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Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model
In the two-flavor NJL model with anomalous magnetic moment of quarks, external magnetic field produces inverse magnetic catalysis and a magnetic-field-dependent drop in the Mott temperature for the Goldstone mode.
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Delineating neutral and charged mesons in magnetic fields
Neutral mesons conserve continuous transverse momenta in magnetic fields while charged mesons exhibit quantized transverse dynamics, with high-spin charged mesons stabilized by cancellation of internal zero-point energy against orbital Zeeman energy.
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Spectral function for pions in magnetic field
Pion spectral functions in magnetic fields develop multi-peak structures for neutral pions from Landau levels and Landau cuts for charged pions, with decay widths narrowing at higher temperatures indicating increased stability.
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Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme
Review of MFIR and MSS schemes showing the superconducting gap stays finite at high chemical potential in magnetized cold quark matter with no zero-temperature transition to normal phase.