Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals

Abstract

A range of quantum field theoretical phenomena driven by external magnetic fields and their applications in relativistic systems and quasirelativistic condensed matter ones, such as graphene and Dirac/Weyl semimetals, are reviewed. We start by introducing the underlying physics of the magnetic catalysis. The dimensional reduction of the low-energy dynamics of relativistic fermions in an external magnetic field is explained and its role in catalyzing spontaneous symmetry breaking is emphasized. The general theoretical consideration is supplemented by the analysis of the magnetic catalysis in quantum electrodynamics, chromodynamics and quasirelativistic models relevant for condensed matter physics. By generalizing the ideas of the magnetic catalysis to the case of nonzero density and temperature, we argue that other interesting phenomena take place. The chiral magnetic and chiral separation effects are perhaps the most interesting among them. In addition to the general discussion of the physics underlying chiral magnetic and separation effects, we also review their possible phenomenological implications in heavy-ion collisions and compact stars. We also discuss the application of the magnetic catalysis ideas for the description of the quantum Hall effect in monolayer and bilayer graphene, and conclude that the generalized magnetic catalysis, including both the magnetic catalysis condensates and the quantum Hall ferromagnetic ones, lies at the basis of this phenomenon. We also consider how an external magnetic field affects the underlying physics in a class of three-dimensional quasirelativistic condensed matter systems, Dirac semimetals. While at sufficiently low temperatures and zero density of charge carriers, such semimetals are expected to reveal the regime of the magnetic catalysis, the regime of Weyl semimetals with chiral asymmetry is realized at nonzero density...

244 pages, 49 figures; published in Physics Reports; typos corrected and refernces added

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Cited by in corpus (105)

• Novel quantum phenomena induced by strong magnetic fields in heavy-ion collisions
• Interacting fermions in rotation: chiral symmetry restoration, moment of inertia and thermodynamics
• Experimental searches for the chiral magnetic effect in heavy-ion collisions
• Magnetic field effects on the static quark potential at zero and finite temperature
• Weyl fermions with arbitrary monopole in magnetic fields: Landau levels, longitudinal magnetotransport, and density-wave ordering
• On electrodynamics of chiral matter
• NJL-type models in the presence of intense magnetic fields: the role of the regularization prescription
• New developments in relativistic magnetohydrodynamics
• Heavy meson spectroscopy under strong magnetic field
• Landau levels in QCD
• Magnetic catalysis and inverse magnetic catalysis in nonlocal chiral quark models
• Charge redistribution from anomalous magnetovorticity coupling
• Magnetized strange quark matter in $f(R,T)$ gravity with bilinear and special form of time varying deceleration parameter
• On the interplay between magnetic field and anisotropy in holographic QCD
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge
• Surface Magnetic Catalysis
• Dilepton production from magnetized quark matter with an anomalous magnetic moment of the quarks using a three-flavor PNJL model
• A universal order parameter for Inverse Magnetic Catalysis
• Magnetic field dependence of the neutral pion mass in the linear sigma model with quarks: The strong field case
• Anomaly-Induced Inhomogeneous Phase in Quark Matter without the Sign Problem
• Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field
• QCD phase structure under rotation
• Strong magnetic fields in nonlocal chiral quark models
• Chiral phase structure of three flavor QCD in a background magnetic field
• Duality between chiral symmetry breaking and charged pion condensation at large $N_c$: Consideration of an NJL${}_2$ model with baryon-, isospin- and chiral isospin chemical potentials
• Deconfinement and chiral phase transitions in quark matter with a strong electric field
• Entropic force and real-time dynamics of holographic quarkonium in a magnetic field
• Rotation induced charged pion condensation in a strong magnetic field: A Nambu--Jona-Lasino model study
• Generation of the magnetic helicity in a neutron star driven by the electroweak electron-nucleon interaction
• Polarization tensor of magnetized quark-gluon plasma at nonzero baryon density
• Extracting the magnitude of magnetic field at freeze-out in heavy-ion collisions
• Gluon polarization tensor in a magnetized medium: Analytic approach starting from the sum over Landau levels
• Chiral Symmetry Restoration and Quark Deconfinement beyond Mean Field in a Magnetized PNJL Model
• Anisotropic pressure of magnetized quark matter with anomalous magnetic moment
• Chiral interface states in graphene $p$-$n$ junctions
• Octet Baryons in Large Magnetic Fields
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Structure of magnetized strange quark star in perturbative QCD
• Competition of chiral soliton lattice and Abrikosov vortex lattice in QCD with isospin chemical potential
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Modification of the masses of the lightest neutral mesons in a hadronic medium under an external magnetic field
• Charged pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model
• Thermal chiral vortical and magnetic waves: new excitation modes in chiral fluids
• Disorder and magnetoconductivity in tilted Weyl semimetals
• Disorder and magnetic transport in tilted Weyl semimetals
• Properties of magnetized neutral pions at zero and finite temperature in nonlocal chiral quark models
• Galvano-rotational effect induced by electroweak interactions in pulsars
• Role of particle masses in the magnetic field generation driven by the parity violating interaction
• Generation of strong magnetic fields in dense quark matter driven by the electroweak interaction of quarks
• Deformed QCD phase structure and entropy oscillation in the presence of a magnetic background
• Skyrme model study of proton and neutron properties in a strong magnetic field
• Many-body effects of Coulomb interaction on Landau levels in graphene
• Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model
• Comparison between the continuum threshold and the Polyakov loop as deconfinement order parameters
• Electromagnetic response in an expanding quark-gluon plasma
• Chiral separation effect catalyzed by heavy impurities
• Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
• Magnetic-Field Induced Critical Endpoint
• Two-electron bound states near a Coulomb impurity in gapped graphene
• Magnetic correction to the Anomalous Magnetic Moment of Electron
• Magnetic Field Effect in the Fine-Structure Constant and Electron Dynamical Mass
• QCD Thermodynamics and Neutral Pion in a Uniform Magnetic Field: Finite Volume Effects
• The relativistic dynamics of oppositely charged two fermions interacting with external uniform magnetic field
• Anatomy of the magnetic catalysis by renormalization-group method
• Feynman Rules in terms of the Wigner transformed Green functions
• Quantum criticality of magnetic catalysis in two-dimensional correlated Dirac fermions
• Pion superfluid phase transition under external magnetic field including inverse magnetic catalysis effect
• Chiral symmetry breaking in accelerating and rotating frames
• Effects of the temperature and magnetic-field dependent coupling on the properties of QCD matter
• Four-Fermion Interaction Model on ${\mathcal{M}}^{D-1}\otimes S^1$
• Spin polarization in high density quark matter under a strong external magnetic field
• Electrified magnetic catalysis in three-dimensional topological insulators
• Proximity-induced superconductivity in Landau-quantized graphene monolayers
• Weak decays of magnetized charged pions in the symmetric gauge
• Landau levels of cold dense quark matter in a strong magnetic field
• Thermodynamics of Chiral Fermion System in a Uniform Magnetic Field
• Vacuum effects on the properties of nuclear matter under an external magnetic field
• Low-energy relation for the trace of the energy-momentum tensor in QCD and the gluon condensate in a magnetic field
• Casimir effect for fermion condensate in conical rings
• Scalar boson emission from a magnetized relativistic plasma
• Spectral function for pions in magnetic field
• Gradient expansion technique for inhomogeneous, magnetized quark matter
• Fate of the first-order chiral phase transition in QCD: Implications for dark QCD studied via a Nambu-Jona-Lasinio model
• Medium separation scheme effects on the magnetized and cold two-flavor superconducting quark matter
• Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas
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• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Thermodynamics of strongly magnetized dense quark matter from hard dense loop perturbation theory
• Accelerating Kaluza-Klein Universe in Modified Theory of Gravitation
• Neutrino-antineutrino synchrotron emission from magnetized dense quark matter
• Short Note on Spin Magnetization in QGP
• Axion electrodynamics and giant magnetic birefringence in Weyl excitonic insulators
• ${\pi }^0\to 2\gamma$ decay under strong magnetic fields in the NJL model
• Hadronic matter at the edge: A survey of some theoretical approaches to the physics of the QCD phase diagram
• Chiral vortical conductivities and the moment of inertia of a rigidly rotating Fermi gas
• Chiral effects in magnetized quantum spinor matter in particle and astroparticle physics
• Finite-Size Effects on the Critical End Point of Magnetized Quark Matter in the Nonlocal PNJL Model
• On electric fields in hot QCD: infrared regularization dependence
• Photon emission from weakly magnetized neutral pions
• One-pion exchange potential in a strong magnetic field
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space
• Review of heat and charge transport in strongly magnetized relativistic plasmas
• Torsional Hall Viscosity of Massive Chern Insulators: Magnetic Field and Momentum Deformations
• Remarks on inverse electrodynamics