Abstract
We investigate the ground state energies of neutral pseudoscalar and vector meson in SU(3) lattice gauge theory in the strong abelian magnetic field. The energy of ρ0 meson with zero spin projection sz=0 on the axis of the external magnetic field decreases, while the energies with non-zero spins sz=−1 and +1 increase with the field. The energy of π0 meson decreases as a function of the magnetic field. We calculate the magnetic polarizabilities of pseudoscalar and vector mesons for lattice volume 184. For ρ0 with spin |sz|=1 and π0 meson the polarizabilities in the continuum limit have been evaluated. We do not observe any evidence in favour of tachyonic mode existence.
Highlights
Quantum Chromodynamics in abelian magnetic field of hadron scale is a rich area for exploration
We continue our previous work where we studied light mesons in SU(2) lattice gauge theory [31]. We extend this analysis to the SU(3) lattice gauge theory which is more physical and calculate the ground state energies of light mesons depending on their spin as a function of the magnetic field value
Our calculations show that there is the splitting of ground state energy of neutral vector meson in a strong abelian magnetic field which represents an interesting physical effect
Summary
Quantum Chromodynamics in abelian magnetic field of hadron scale is a rich area for exploration. Chiral perturbation theory predicts the decrease of the transition temperature from the confinement to deconfinement phase with increasing abelian magnetic field [7]. According to the calculations on the lattice with two types of valence quarks in QCD the critical temperature of the confinement–deconfinement phase transition slightly increases in the strong magnetic field [24]. Simulations in Nf = 2 + 1 theory with dynamical quarks showed that Tc decreases with increasing magnetic field [25]. This temperature behaviour was confirmed in [23] and this effect is known as inverse magnetic catalysis. For the zero spin our data agree with these results only for small magnetic fields
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