Abstract
We calculated correlators of vector, axial and pseudoscalar currents in external strong abelian magnetic field according to SU(2) gluodynamics. The masses of neutral ρ and A mesons with various spin projections to the axis parallel to the external magnetic field B have been calculated. We found that the masses of neutral mesons with zero spin s=0 decrease in increasing magnetic field, while the masses of the ρ and A mesons with spin s=±1 increase in the mentioned field. Also we performed extrapolation and renormalization of masses on the lattice.
Highlights
The exploration of hadronic matter in strong abelian magnetic field has a fundamental meaning
The energy of the ground state or the mass of vector ρ meson with sz = 0 spin projection could be obtained from the CzVzV correlator
We expect that at small magnetic field this state corresponds to the neutral ρ0 meson with zero spin projection on the axis z
Summary
The exploration of hadronic matter in strong abelian magnetic field has a fundamental meaning. Calculations on the lattices are a good method for study of the phase diagram of QCD in external magnetic field [4, 5, 6]. In the framework of the Nambu-Jona-Lasinio model it was shown that QCD vacuum becomes a superconductor in sufficiently strong magnetic field (Bc = m2ρ/e ≃ 1016 Tl) [11, 12] along the direction of the magnetic field. This transition to superconducting phase is accompanied by a condensation of charged ρ mesons, their masses turns to zero. Articles [13] [14] and [15] are devoted to the behaviour of meson masses in the external abelian magnetic field
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