Comment on "Charged vector mesons in a strong magnetic field"

Abstract

In a recent paper Y. Hidaka and A. Yamamoto [Phys. Rev. D 87 (2013) 094502] claim -- using both analytical and numerical approaches -- that the charged rho mesons cannot condense in the vacuum subjected to a strong magnetic field. In this Comment we point out that both analytical and numerical results of this paper are consistent with the inhomogeneous rho-meson condensation. Furthermore, we show that the numerical results of the paper support the presence of the expected (in quenched lattice QCD) crossover transition driven by the rho-meson condensation. Finally, we stress that the inhomogeneous rho-meson condensation is consistent with both Vafa-Witten and Elitzur theorems.

4 pages, 4 figures

References in corpus (5)

• Superconductivity of QCD vacuum in strong magnetic field
• Spontaneous electromagnetic superconductivity of vacuum in strong magnetic field: evidence from the Nambu--Jona-Lasinio model
• Vafa-Witten theorem, vector meson condensates and magnetic-field-induced electromagnetic superconductivity of vacuum
• Amending the Vafa-Witten Theorem
• A Non-Abelian Vortex Lattice in Strongly Coupled Systems

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• Charged and neutral vector meson under magnetic field
• Neutral and charged (pseduo)scalar mesons and diquarks under magnetic fields
• Heavy meson spectroscopy under strong magnetic field
• Spectral properties of $\rho$ meson in a magnetic field
• Thermal effects on $\rho$ meson properties in an external magnetic field
• $\rho$ condensation and physical parameters
• 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
• Phase structure of electroweak vacuum in a strong magnetic field: the lattice results
• Light-by-Light Scattering in the Presence of Magnetic Fields
• 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