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arxiv 1203.5699 v6 pith:7IGX2O5T submitted 2012-03-26 hep-lat

The rho and A mesons in strong abelian magnetic field in SU(2) lattice gauge theory

classification hep-lat
keywords fieldmagneticmassesmesonsspinabeliancalculatedexternal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We calculated correlators of vector, axial and pseudoscalar currents in external strong abelian magnetic field according to SU(2) gluodynamics. The masses of neutral $\rho$ 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 $\rho$ and $A$ mesons with spin $s=\pm 1$ increase in the mentioned field. Also we performed extrapolation and renormalization of masses on the lattice.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Hadronic exceptional points

    hep-ph 2026-06 unverdicted novelty 7.0

    Imaginary magnetic fields induce exceptional points in neutral meson mass spectra computed via hadronic effective Lagrangian and constituent quark models, separating real and complex eigenvalue regimes.

  2. Chiral Properties of $(2\!+\!1)$-Flavor QCD in Magnetic Fields at Zero Temperature

    hep-lat 2026-01 unverdicted novelty 5.0

    Continuum-extrapolated lattice simulations show monotonic magnetic catalysis in chiral condensates, non-monotonic charged-meson mass response, and valence-quark dominance at zero temperature up to eB ≈ 1.2 GeV².

  3. Effect of anomalous magnetic moment of quarks on the phase structure and mesonic properties in the NJL model

    nucl-th 2019-07 unverdicted novelty 4.0

    In the two-flavor NJL model with anomalous magnetic moment of quarks, external magnetic field produces inverse magnetic catalysis and a magnetic-field-dependent drop in the Mott temperature for the Goldstone mode.

  4. Dense and Cold Magnetized Quark Matter: A Review of Magnetic-Field-Independent Regularization and the Medium Separation Scheme

    hep-ph 2026-06 unverdicted novelty 2.0

    Review of MFIR and MSS schemes showing the superconducting gap stays finite at high chemical potential in magnetized cold quark matter with no zero-temperature transition to normal phase.