Quark condensate in a magnetic field

Abstract

We study the dependence of quark condensate $\Sigma$ on an external magnetic field. For weak fields, it rises linearly with the field. Pion mass and residue are also shifted so that the Gell-Mann - Oakes - Renner relation is satisfied. In the strong field region, $\Sigma (H)\propto (eH{)}^{3/2}$.

13 pages LaTeX, 5 postscript files for figures

Cited by in corpus (173)

• The Chiral Magnetic Effect
• The QCD phase diagram for external magnetic fields
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• QCD quark condensate in external magnetic fields
• Chiral Magnetic conductivity
• Inverse magnetic catalysis and the Polyakov loop
• QCD Phase Transition in a Strong Magnetic Background
• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• Superconductivity of QCD vacuum in strong magnetic field
• The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
• Chiral magnetic effect in the PNJL model
• Magnetic Catalysis vs Magnetic Inhibition
• Magnetic catalysis and anisotropic confinement in QCD
• Deconfinement and Chiral Symmetry Restoration in a Strong Magnetic Background
• Chiral transition in a strong magnetic background
• Chiral Properties of Strong Interactions in a Magnetic Background
• Axial anomaly and magnetism of nuclear and quark matter
• Magnetic Oscillations in Dense Cold Quark Matter with Four-Fermion Interactions
• Dressed Polyakov loop and phase diagram of hot quark matter under magnetic field
• Color-flavor locked superconductor in a magnetic field
• Quark-hadron phase transition in a magnetic field
• Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
• Charged vector mesons in a strong magnetic field
• Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED
• Deconfinement in the presence of a strong magnetic background: an exercise within the MIT bag model
• Meson masses in electromagnetic fields with Wilson fermions
• Equation of state for the MCFL phase and its implications for compact star models
• The chiral condensate in a constant electromagnetic field
• Chiral density waves in quark matter within the Nambu--Jona-Lasinio model in an external magnetic field
• Numerical study of chiral symmetry breaking in non-Abelian gauge theory with background magnetic field
• Magnetic catalysis in hot and dense quark matter and quantum fluctuations
• Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions in an external magnetic field
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Magnetic Catalysis: A Review
• New look at the QCD ground state in a magnetic field
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• QCD phase diagram in a magnetic background for different values of the pion mass
• Chiral perturbation theory in a magnetic background - finite-temperature effects
• Electromagnetic radiation by quark-gluon plasma in magnetic field
• Two-color QCD with staggered fermions at finite temperature under the influence of a magnetic field
• Weak decay constant of neutral pions in a hot and magnetized quark matter
• The Quark and Gluon Condensates and Low-Energy QCD Theorems in a Magnetic Field
• Magnetic catalysis (and inverse catalysis) at finite temperature in two-color lattice QCD
• QCD vacuum structure in strong magnetic fields
• 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
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Dynamical quark mass generation in a strong external magnetic field
• Chiral magnetization of non-Abelian vacuum: a lattice study
• Extreme matter in electromagnetic fields and rotation
• Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature
• Thermal pions in a magnetic background
• Universality and the magnetic catalysis of chiral symmetry breaking
• The Chiral Magnetic Effect and chiral symmetry breaking in SU(3) quenched lattice gauge theory
• Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD
• Magnetic properties of dense holographic QCD
• Inverse magnetic catalysis from the properties of the QCD coupling in a magnetic field
• Chiral transition in a magnetic field and at finite baryon density
• Properties of Mesons in a Strong Magnetic Field
• Magnetic Catalysis in the Presence of Scalar Fields
• Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules
• Nambu-Goldstone mesons in strong magnetic field
• Magnetic catalysis in nuclear matter
• Chiral Symmetry Breaking in QED in a Magnetic Field at Finite Temperature
• Holographic rho mesons in an external magnetic field
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Heavy meson spectroscopy under strong magnetic field
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• Can a strong magnetic background modify the nature of the chiral transition in QCD?
• Lattice QCD Simulations in External Background Fields
• Ward-Takahashi Identity with External Field in Ladder QED
• Electron Self-Energy in Strong Magnetic Field: Summation of Double Logarithmic Terms
• Renormalization Group Study of Magnetic Catalysis in the 3d Gross-Neveu Model
• Phase structure of the QCD vacuum in a magnetic field at low temperature
• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• The Evolution of Meson Masses in a Strong Magnetic Field
• Quark Matter in a Strong Magnetic Background
• Pion decay constants in a strong magnetic field
• Non-equilibrium physics at a holographic chiral phase transition
• $\rho$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory
• Inverse magnetic catalysis -- how much do we know about?
• CP violation and chiral symmetry restoration in the hot linear sigma model in a strong magnetic background
• Chiral thermodynamics in a magnetic field
• Hadrons in Strong Electric and Magnetic Fields
• Critical Endpoint and Inverse Magnetic Catalysis for Finite Temperature and Density Quark Matter in a Magnetic Background
• Thermal chiral and deconfining transitions in the presence of a magnetic background
• Quark gap equation in an external magnetic field
• Dark Energy Content of Nonlinear Electromagnetism
• SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field
• Magnetic shift of the chemical freezeout and electric charge fluctuations
• Renormalized vs Nonrenormalized Chiral Transition in a Magnetic Background
• Quark deconfinement and gluon condensate in a weak magnetic field
• Dynamical mass generation in strongly coupled Quantum Electrodynamics with weak magnetic fields
• 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
• The quark-hadron thermodynamics in magnetic field
• Influence of finite volume and magnetic field effects on the QCD phase diagram
• Does there arise a significant enhancement of the dynamical quark mass in external magnetic field?
• Background magnetic field stabilizes QCD string against breaking
• Field Correlator Method for the confinement in QCD
• The chiral condensate in a constant electromagnetic field at O(p^6)
• Boundary Effects in the Magnetic Catalysis of Chiral Symmetry Breaking
• Chiral symmetry in linear Sigma model in magnetic environment
• Beyond-Constant-Mass-Approximation Magnetic Catalysis in the Gauge Higgs-Yukawa Model
• $\rho$ condensation and physical parameters
• Two-color QCD in a strong magnetic field: The role of the Polyakov loop
• Finite Isospin Chiral Perturbation Theory in a Magnetic Field
• Magnetization of the QCD vacuum at large fields
• Chiral physics in the magnetic field with quark confinement contribution
• Impacts of (inverse) magnetic catalysis on screening masses of neutral pions and sigma mesons in hot and magnetized quark matter
• Formation of Chiral Soliton Lattice
• SU(3) Polyakov Linear $\sigma$-Model in Magnetic Field: Thermodynamics, Higher-Order Moments, Chiral Phase Structure and Meson Masses
• Chiral Pertubation Theory with lattice regularization
• "Splitting" magnetic catalysis effect prevents vacuum superconductivity in strong magnetic fields
• CP violation and chiral symmetry breaking in hot and dense quark matter in presence of magnetic field
• Possible formation of high temperature superconductor at early stage of heavy-ion collisions
• Rotating Dirac fermions in a magnetic field in 1+2,3 dimensions
• Octet Baryons in Large Magnetic Fields
• Lattice Field Theory Study of Magnetic Catalysis in Graphene
• Geometrically induced magnetic catalysis and critical dimensions
• Quark and pion condensates at finite isospin density in chiral perturbation theory
• Large N dynamics in QED in a magnetic field
• Chiral perturbation theory for nonzero chiral imbalance
• Chiral symmetry breaking by a non-Abelian external field in (2+1)-dimensions
• Thermal QCD in a non-uniform magnetic background
• Quark mass dependence of the vacuum electric conductivity induced by the magnetic field in SU(2) lattice gluodynamics
• The effect of gluon condensate on imaginary potential and thermal width from holography
• Effects of finite volume and magnetic fields on thermodynamic properties of quark matter and fluctuations of conserved charges
• Chiral dynamics in QED and QCD in a magnetic background and nonlocal noncommutative field theories
• A magnetic instability of the non-Abelian Sakai-Sugimoto model
• Magnetic test of chiral dynamics in QCD
• Monopoles, confinement and deconfinement of (2+1)D compact lattice QED in external fields
• Renormalization flow towards gravitational catalysis in the 3d Gross-Neveu model
• Functional renormalization group study of the Nambu--Jona-Lasinio model at finite temperature and density in an external magnetic field
• Finite Density Effect in the Gross-Neveu Model in a Weakly Curved $R^1\times S^2$ Spacetime
• Chiral Perturbation Theory Analysis of the Quark Condensate in a Magnetic Field
• QCD Thermodynamics and Neutral Pion in a Uniform Magnetic Field: Finite Volume Effects
• Emission of Axions in strongly magnetized star
• Isospin-Breaking quark condensates in Chiral Perturbation Theory
• Temporal Chiral Spiral in Strong Magnetic Fields
• QCD phase diagram in the $T-eB$ plane for varying pion mass
• Magnetic Catalysis in Antiferromagnetic Films
• The effective potential of composite fields in weakly coupled QED in a uniform external magnetic field
• Exposing the effect of $p$-wave in pion triplet under the strong magnetic field
• Sign problem and the chiral spiral on the finite-density lattice
• Pion Pressure in a Magnetic Field
• Semiclassical limits for the QCD Dirac operator
• Quark Condensate in a Weak Magnetic Field
• Magnetic field driven instability in planar NJL model in real-time formalism
• Thermomagnetic Properties of QCD
• Low-energy relation for the trace of the energy-momentum tensor in QCD and the gluon condensate in a magnetic field
• Does the chiral magnetic effect change the dynamic universality class in QCD?
• QCD Corrections to QED Vacuum Polarization
• Chiral Symmetry Breaking and Dual Gluon Mass in the Confining Region of QCD
• Strongly interacting matter in extreme magnetic fields
• Magnetic field effect on nuclear matter from skyrmion crystal model
• Electric Polarizabilities of Neutral Baryons in the QCD Sum Rule
• Chiral Properties of $(2+1)$-Flavor QCD in Magnetic Fields at Zero Temperature
• Gluodynamics in external field in dual superconductor approach
• Anisotropic Propagator for the Goldstone Modes in Color-flavor Locked Phase in the Presence of a Magnetic Field
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• Photon polarization tensor at finite temperature and density in a magnetic field
• Phonon spectrum of QCD vacuum in magnetic-field-induced superconducting phase
• Nonrelativistic Banks-Casher relation and random matrix theory for multi-component fermionic superfluids
• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
• Square-Lattice Antiferromagnet Subjected to a Magnetic Field Aligned with the Order Parameter
• Tensor supercurrent in QCD
• Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions
• The QCD Phase Transition: From the Microscopic Mechanism to Signals Talk at Renconres de Moriond - 97
• Vacuum free energy, quark condensate shifts and magnetization in three-flavor chiral perturbation theory to $\mathcal{O}(p^6)$ in a uniform magnetic field
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field
• Charged Dirac fermions with anomalous magnetic moment in the presence of the chiral magnetic effect and of a noncommutative phase space
• Photon emission from weakly magnetized neutral pions