π± and ρ0,± mesons in a strong magnetic field on the lattice

• Published in: JETP letters Vol. 101; no. 10; pp. 674 - 678
• Main Authors: Luschevskaya, E. V., Kochetkov, O. A., Teryaev, O. V., Solovjeva, O. E.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 2015
• Subjects: Atomic; Biological and Medical Physics; Biophysics; Fields; Molecular; Nuclei; Optical and Plasma Physics; Particle and Nuclear Physics; Particles; Physics; Physics and Astronomy; Quantum Information Technology; Solid State Physics; Spintronics; High Energy Phys; Lattice Spacing; JETP Letter; Ground State Energy; Strong Magnetic Field
• ISSN: 0021-3640; 1090-6487
• DOI: 10.1134/S0021364015100094

We calculated the correlators of pseudoscalar and vector currents in external strong abelian magnetic field in SU (3) gluodynamics. From the correlation functions, we obtain the ground state energies (masses) of neutral ρ 0 meson and charged π ± and ρ ± mesons. The energies of the ρ 0 meson with nonzero spins increase with the field value. The mass of charged π ± mesons increases with the field. We observe the agreement between Landau level picture and behavior of charged ρ ± mesons for moderate magnetic fields. There are no evidences in favor of charged vector meson condensation or tachyonic mode existence at large magnetic fields. The g -factor of ρ ± is estimated in the chiral limit.