• Corpus ID: 119263778

# Quark-Antiquark System in Ultra-Intense Magnetic Field

@article{Simonov2012QuarkAntiquarkSI,
title={Quark-Antiquark System in Ultra-Intense Magnetic Field},
author={Yu. A. Simonov and Boris Kerbikov and M. A. Andreichikov},
journal={arXiv: High Energy Physics - Phenomenology},
year={2012}
}
• Published 30 September 2012
• Physics
• arXiv: High Energy Physics - Phenomenology
We study the relativistic quark-antiquark system embedded in magnetic field (MF). The Hamiltonian containing confinement, color Coulomb and spin-spin interaction is derived. We analytically follow the evolution of the lowest neutral meson state as a function of MF strength. Calculating the color Coulomb energy $V_{Coul}$ we have observed the unbounded negative (at least in the limit of large $N_c$) contribution at large MF which makes the mass negative for $eB> eB^{QCD}_{crit}$. We display the…
14 Citations

## Figures from this paper

Spin interactions in mesons in strong magnetic field
Spin interactions in relativistic quark-antiquark system in magnetic field is considered in the framework of the relativistic Hamiltonian, derived from the QCD path integral. The formalism allows to
Neutron in Strong Magnetic Fields
• Physics
• 2014
Relativistic world-line Hamiltonian for strongly interacting 3q systems in magnetic field is derived from the path integral for the corresponding Green's function. The neutral baryon Hamiltonian in
Nambu-Goldstone mesons in strong magnetic field
• Physics
• 2013
A bstractWe study the $q\overline{q}$ structure embedded in chiral mesons in response to external magnetic fields (m.f.), using the chiral Lagrangian with $q\overline{q}$ degrees of freedom
Asymptotic freedom in strong magnetic fields.
• Physics
Physical review letters
• 2013
The analysis of the one-loop correction below shows a considerable softening of this phenomenon due to qq[over ¯] loop contribution, leading to approximately logarithmic damping of gluon exchange interaction (≈O(1/ln|eB|)) at large magnetic field.
Holographic ρ mesons in an external magnetic field
• Physics
• 2013
A bstractWe study the ρ meson in a uniform magnetic field eB using a holographic QCD-model, more specifically a $\mathrm{D}4/\mathrm{D}8/\overline{\mathrm{D}8}$ brane setup in the confinement phase
Magnetic moments of mesons
• Physics
• 2013
Magnetic moments of charged and neutral mesons are calculated with the use of the relativistic Hamiltonian derived from the path integral form of the ${q}_{1}{\overline{q}}_{2}$ Green's function. The
Magnetic moments of negative parity baryons from the effective Hamiltonian approach to QCD
• Physics
• 2014
The magnetic moments of the S11(1535) and S11(1650) baryons are studied in the framework of the relativistic three-quark Hamiltonian derived in the Field Correlation Method. The baryon magnetic
Nonlinear corrections in basic problems of electro- and magneto-statics in the vacuum
• Physics
• 2013
We point that any theoretically found value for an electromagnetic multipole of a baryon or a meson should be subjected to renormalization'' due to nonlinearity of QED. We find third-power
Relativistic path integral and relativistic Hamiltonians in QCD and QED
The proper-time 4d path integral is used as a starting point to derive the new explicit parametric form of the quark-antiquark Green's function in gluonic and QED fields, entering as a common Wilson

## References

SHOWING 1-6 OF 6 REFERENCES
The $\rho$ and $A$ mesons in strong abelian magnetic field in SU(2) lattice gauge theory
• Physics
• 2012
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
Critical nucleus charge in a superstrong magnetic field: effect of screening
• Physics
• 2012
A superstrong magnetic field stimulates the spontaneous production of positrons by naked nuclei by diminishing the value of the critical charge ${Z}_{\mathrm{cr}}$. The recently discovered phenomenon
Asymptotic freedom and IR freezing in QCD: the role of gluon paramagnetism
Paramagnetism of gluons is shown to play the basic role in establishing main properties of QCD: IR freezing and asymptotic freedom (AF). Starting with Polyakov background field approach the first
Shevchenko and Yu . A . Simonov
• 1989
Phys
• Rev. 85, 259 (1952); L.P.Gor’kov and I.E. Dzyaloshinskii, Soviet Physics JETP, 26, 449 (1968); J.E.Avron, I.W.Herbst, and B.Simon, Ann.Phys. (NY), 114, 431 (1978); H.Grotsch and R.A.Hegstrom, Phys. Rev. A4, 59
• 1971
) . [ 13 ] W . E . Lamb , Phys . Rev . 85 , 259 ( 1952 ) ; L . P . Gor ’ kov and I . E . Dzyaloshinskii