Imaginary magnetic fields induce exceptional points in neutral meson mass spectra computed via hadronic effective Lagrangian and constituent quark models, separating real and complex eigenvalue regimes.
Endrodi,QCD with background electromagnetic fields on the lattice: A review,Prog
12 Pith papers cite this work. Polarity classification is still indexing.
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abstract
This review provides a comprehensive summary of results on the physics of strongly interacting matter in the presence of background electromagnetic fields, obtained via numerical lattice simulations of the underlying theory, Quantum Chromodynamics (QCD). Lattice QCD has guided our understanding of magnetized quarks and gluons via landmark results on the phase diagram, the equation of state, the confinemenent mechanism, anomalous transport phenomena as well as many more fascinating effects. Some of the lattice results lead to completely new paradigms in the description of hot magnetized quark matter and provided useful insights to a broad high-energy particle physics community. Since the first lattice QCD simulations with background fields, this field has been established as an independent research direction. We present the current status and recent developments of this field, together with an outlook including open questions to be answered in the near future.
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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.
Lattice QCD yields first-principles splitting ratios for chemical potentials in Ru+Ru vs Zr+Zr collisions that are comparable in size to Bayesian STAR extractions, with Δμ_Q negative, Δμ_S positive, and only moderate magnetic-field dependence.
The hexadecapole component of Δγ(φ_pair) is proposed as a CME-sensitive and background-insensitive observable based on magnetic field fluctuations in heavy-ion collision models.
One-loop effective Lagrangian for Dirac fermions on a magnetic four-torus, with magnetization that can flip between paramagnetic and diamagnetic under twisted boundary conditions.
Coupled DSE solutions show gluon screening mass increase suppresses quark-gluon interaction and drives inverse magnetic catalysis near the chiral phase transition.
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.
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.
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.
The disagreement between two definitions of electric susceptibility in hot QCD stems from infrared regularization and thermodynamic ensemble choices, as shown by exact fermion propagator calculations and a hadron resonance gas model.
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.
MFIR plus MSS regularization of the NJL model keeps the 2SC superconducting gap finite at large chemical potential under magnetic fields and eliminates spurious normal-phase transitions and de Haas–van Alphen artifacts.
citing papers explorer
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Hadronic exceptional points
Imaginary magnetic fields induce exceptional points in neutral meson mass spectra computed via hadronic effective Lagrangian and constituent quark models, separating real and complex eigenvalue regimes.
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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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Isospin-Driven Splitting of Chemical Potentials in Isobar Collisions from Lattice QCD
Lattice QCD yields first-principles splitting ratios for chemical potentials in Ru+Ru vs Zr+Zr collisions that are comparable in size to Bayesian STAR extractions, with Δμ_Q negative, Δμ_S positive, and only moderate magnetic-field dependence.
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A higher-harmonic observable for the chiral magnetic effect in heavy-ion collisions
The hexadecapole component of Δγ(φ_pair) is proposed as a CME-sensitive and background-insensitive observable based on magnetic field fluctuations in heavy-ion collision models.
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Effective Lagrangian of a fermion field in a nontrivial topology under magnetic effects
One-loop effective Lagrangian for Dirac fermions on a magnetic four-torus, with magnetization that can flip between paramagnetic and diamagnetic under twisted boundary conditions.
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From Magnetic to Inverse Magnetic Catalysis: The Interplay of Quark and Gluon Mass Generation in Magnetic Fields
Coupled DSE solutions show gluon screening mass increase suppresses quark-gluon interaction and drives inverse magnetic catalysis near the chiral phase transition.
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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 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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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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On electric fields in hot QCD: infrared regularization dependence
The disagreement between two definitions of electric susceptibility in hot QCD stems from infrared regularization and thermodynamic ensemble choices, as shown by exact fermion propagator calculations and a hadron resonance gas model.
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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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Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme
MFIR plus MSS regularization of the NJL model keeps the 2SC superconducting gap finite at large chemical potential under magnetic fields and eliminates spurious normal-phase transitions and de Haas–van Alphen artifacts.