Vafa-Witten theorem, vector meson condensates and magnetic-field-induced electromagnetic superconductivity of vacuum

Abstract

We show that the electromagnetic superconductivity of vacuum in strong magnetic field background is consistent with the Vafa-Witten theorem because the charged vector meson condensates lock relevant internal global symmetries of QCD with the electromagnetic gauge group.

2 pages

References in corpus (8)

• QCD at finite isospin density
• Spontaneous Flavor and Parity Breaking with Wilson Fermions
• Superconductivity of QCD vacuum in strong magnetic field
• The Ginzburg-Landau Theory of Type II superconductors in magnetic field
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Singular values of the Dirac operator in dense QCD-like theories
• Electromagnetically superconducting phase of vacuum in strong magnetic field: structure of superconductor and superfluid vortex lattices in the ground state
• Spontaneous Parity Violation in QCD At Finite Temperature: On the Inapplicability of the Vafa-Witten Theorem

Cited by in corpus (22)

• The quark mass gap in a magnetic field
• Magnetic susceptibility of QCD at zero and at finite temperature from the lattice
• Charged and neutral vector meson under magnetic field
• Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
• Holographic rho mesons in an external magnetic field
• Heavy meson spectroscopy under strong magnetic field
• Lattice QCD Simulations in External Background Fields
• Spectral properties of $\rho$ meson in a magnetic field
• Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model
• Critical Endpoint and Inverse Magnetic Catalysis for Finite Temperature and Density Quark Matter in a Magnetic Background
• Thermal effects on $\rho$ meson properties in an external magnetic field
• $\rho$ condensation and physical parameters
• Comment on "Charged vector mesons in a strong magnetic field"
• Amending the Vafa-Witten Theorem
• Extracting the magnitude of magnetic field at freeze-out in heavy-ion collisions
• Possible formation of high temperature superconductor at early stage of heavy-ion collisions
• General structure of the neutral $\rho$ meson self-energy and its spectral properties in a hot and dense magnetized medium
• Magnetized pole-mass of neutral $\rho$ meson within full RPA evaluation
• Existence of weak martingale solution of Nematic Liquid Crystals driven by Pure Jump Noise
• Strongly interacting matter in extreme magnetic fields
• Phonon spectrum of QCD vacuum in magnetic-field-induced superconducting phase
• Background field and time dependence effects in holographic models