The Quark and Gluon Condensates and Low-Energy QCD Theorems in a Magnetic Field

Abstract

The low-energy QCD theorems are generalized in the presence of a constant magnetic field H. Two-loop approximation for the vacuum energy density in the framework of the chiral perturbation theory was obtained and the quark and gluon condensates were found as the functions of H.

LaTeX, 9 pages, 2 figures; minor corrections

Cited by in corpus (70)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• QCD quark condensate in external magnetic fields
• Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
• Magnetic catalysis and anisotropic confinement in QCD
• Chiral transition in a strong magnetic background
• Chiral Properties of Strong Interactions in a Magnetic Background
• Quark-hadron phase transition in a magnetic field
• Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
• Deconfinement in the presence of a strong magnetic background: an exercise within the MIT bag model
• Equation of state for the MCFL phase and its implications for compact star models
• The chiral condensate in a constant electromagnetic field
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• New look at the QCD ground state in a magnetic field
• Spontaneous generation of local CP violation and inverse magnetic catalysis
• Chiral perturbation theory in a magnetic background - finite-temperature effects
• Large Nc Deconfinement Transition in the Presence of a Magnetic Field
• QCD vacuum structure in strong magnetic fields
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Charmonium Spectroscopy in Strong Magnetic Fields by QCD Sum Rules: S-Wave Ground States
• Thermal pions in a magnetic background
• Inverse Magnetic Catalysis in the Soft-Wall Model of AdS/QCD
• Chiral transition in a magnetic field and at finite baryon density
• Inverse magnetic catalysis from the properties of the QCD coupling in a magnetic field
• Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules
• Nambu-Goldstone mesons in strong magnetic field
• Strong-Field Physics in QED and QCD: From Fundamentals to Applications
• Heavy meson spectroscopy under strong magnetic field
• Can a strong magnetic background modify the nature of the chiral transition in QCD?
• Inverse Magnetic Catalysis in the three-flavor NJL model with axial-vector interaction
• Lattice QCD Simulations in External Background Fields
• Phase structure of the QCD vacuum in a magnetic field at low temperature
• The Evolution of Meson Masses in a Strong Magnetic Field
• $\rho$ mesons in strong abelian magnetic field in SU(3) lattice gauge theory
• Pion decay constants in a strong magnetic field
• CP violation and chiral symmetry restoration in the hot linear sigma model in a strong magnetic background
• A renormalization group approach for QCD in a strong magnetic field
• Chiral thermodynamics in a magnetic field
• Hadrons in Strong Electric and Magnetic Fields
• Thermal chiral and deconfining transitions in the presence of a magnetic background
• SU(3) Polyakov Linear Sigma-Model in an External Magnetic Field
• On the transition temperature(s) of magnetized two-flavour holographic QCD
• Nonperturbative vacuum and condensates in QCD below thermal phase transition
• Influence of finite volume and magnetic field effects on the QCD phase diagram
• The quark-hadron thermodynamics in magnetic field
• Does there arise a significant enhancement of the dynamical quark mass in external magnetic field?
• The chiral condensate in a constant electromagnetic field at O(p^6)
• QCD determination of the magnetic field dependence of QCD and hadronic parameters
• Finite Isospin Chiral Perturbation Theory in a Magnetic Field
• 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
• 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
• Octet Baryons in Large Magnetic Fields
• Large N dynamics in QED in a magnetic field
• Chiral dynamics in QED and QCD in a magnetic background and nonlocal noncommutative field theories
• Magnetic test of chiral dynamics in QCD
• Quark mass dependence of the QCD temperature transition in magnetic fields
• Dynamical Electron Mass in a Strong Magnetic Field
• 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
• Magnetic focusing in atomic, nuclear and hadronic processes
• Thermomagnetic Properties of QCD
• QCD Corrections to QED Vacuum Polarization
• Low-energy relation for the trace of the energy-momentum tensor in QCD and the gluon condensate in a magnetic field
• Strongly interacting matter in extreme magnetic fields
• Magnetic effects of QCD parameters from finite energy sum rules
• 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