Determination of the properties of vector mesons in external magnetic field by Quenched $SU(3)$ Lattice QCD

Abstract

We investigate the ground state energies of vector ${\rho }^{\pm }$ and $K^{\pm \ast }$ mesons depending on the magnetic field value in the $SU(3)$ lattice gauge theory. It has been shown that the energy of a vector particle depends on its spin projection on the field axis. The magnetic dipole polarizability and hyperpolarizabilities give significant contributions to the energy value which prevents the formation of the charged vector meson condensate at high magnetic fields. We calculate the g-factor of ${\rho }^{\pm }$ and $K^{\pm \ast }$ mesons and the dipole magnetic polarizability of ${\rho }^{\pm }$ mesons.

26 pages, 13 figures

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• Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
• Magnetic moment of the rho meson in instant-form relativistic quantum mechanics
• Neutral pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model: mixing effects
• Charged pseudoscalar and vector meson masses under strong magnetic fields in an extended NJL model
• Functional renormalization group study of neutral and charged pion under magnetic fields in the quark-meson model
• Masses of magnetized pseudoscalar and vector mesons in an extended NJL model: the role of axial vector mesons
• Tensor polarizability of the vector mesons from $SU(3)$ lattice gauge theory
• Light-by-Light Scattering in the Presence of Magnetic Fields
• Charged meson masses under strong magnetic fields: gauge invariance and Schwinger phases
• Strongly interacting matter in extreme magnetic fields
• Electrical conductivity and shear viscosity of a pion gas in a thermo-magnetic medium
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