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arXiv · 1411.4284

Magnetic polarizabilities of light mesons in $SU(3)$ lattice gauge theory

E. V. Luschevskaya·O. E. Solovjeva·O. A. Kochetkov·O. V. Teryaev
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Abstract

We investigate the masses (ground state energies) of neutral pseudoscalar and vector meson in $SU(3)$ lattice gauge theory in strong abelian magnetic field. The energy of $ρ^0$ meson with zero spin projection $s_z=0$ on the axis of the external magnetic field decreases, while the energies with non-zero spins $s_z=-1$ and $+1$ increase with the field. The energy of $π^0$ meson decrease as a function of the magnetic field. We calculated the magnetic polarizabilities of pseudoscalar and vector mesons for lattice volume $18^4$. For $ρ^0$ with spin $|s_z|=1$ and $π^0$ meson the extrapolations to zero lattice spacing have been done. We do not observe any evidence in favour of tachyonic mode existence.

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E. V. Luschevskaya, O. E. Solovjeva, O. A. Kochetkov, O. V. Teryaev. 2015-02-27. Magnetic polarizabilities of light mesons in $SU(3)$ lattice gauge theory. https://doi.org/10.1016/j.nuclphysb.2015.07.023

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