# Positronium collapse and the maximum magnetic field in pure QED.

@article{Shabad2006PositroniumCA, title={Positronium collapse and the maximum magnetic field in pure QED.}, author={Anatoly E. Shabad and Vladimir Vasil'evich Usov}, journal={Physical review letters}, year={2006}, volume={96 18}, pages={ 180401 } }

A maximum value for the magnetic field is determined, which provides the full compensation of the positronium rest mass by the binding energy in the maximum symmetry state and disappearance of the energy gap separating the electron-positron system from the vacuum. The compensation becomes possible owing to the falling to the center phenomenon. The maximum magnetic field may be related to the vacuum and describe its structure.

## 30 Citations

Bethe-Salpeter approach for relativistic positronium in a strong magnetic field

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We study the electron-positron system in a strong, constant, and homogeneous magnetic field using the differential Bethe-Salpeter equation in the ladder approximation. We derive the fully…

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Abstract
It is shown that in strongly magnetized neutron stars, there exist upper limits of magnetic field strength, beyond which the self energies for both neutron and proton components of neutron…

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We study the electric potential of a charge placed in a strong magnetic field B>>B{sub 0}{approx_equal}4.4x10{sup 13} G, as modified by the vacuum polarization. In such a field the electron Larmour…

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Motivated by recent interest in understanding properties of strongly magnetized matter, we study the dynamical electron mass generated through approximate chiral symmetry breaking in QED in a strong…

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We investigate the effect of an applied constant and uniform magnetic field in the fine-structure constant of massive and massless QED. In massive QED, it is shown that a strong magnetic field…

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This work analyzes the mean-energy density of quantized fields for an arbitrary constant electric field E, acting during a large but finite time T, and establishes the time scales from above of depletion of an electric field due to the backreaction.

## References

SHOWING 1-10 OF 74 REFERENCES

Gamma-quanta conversion into positronium atoms in a strong magnetic field

- Physics
- 1985

The curvature γ-quanta emitted in the pulsar magnetospheres tangentially to the curved lines of force of the magnetic field are shown to be later canalized along the magnetic field—if it is strong…

Radiative correction to the ground-state energy of an electron in an intense magnetic field

- Physics
- 1969

~OR astrophysical purposes, it has recently been investigated' ' how the ground-state energy Eo of an electron may be shifted from mc' in the presence of a very intense static uniform magnetic field…

Electron mass operator in a strong magnetic field and dynamical chiral symmetry breaking.

- PhysicsPhysical review letters
- 2002

In a model with N charged fermions, it is shown that some critical number N(cr) exists for any value of the electromagnetic coupling constant alpha, such that the fermion dynamical mass is generated with a doublet splitting for NN(cr), thus leaving the chiral symmetry unbroken.

Photon dispersion in a strong magnetic field with positronium formation: Theory

- Physics
- 1986

AbstractPositrinium atom is considered in a strong magnetic field
$$B \gg \alpha ^2 B_{cr} = m^2 ce^3 /\hbar ^3 = 2.35 \times 10^9 G$$
in a vector-potential gauged asAx=−By. The energy spectrum is…

Photon propagation in a supercritical magnetic field

- Physics
- 2003

We show that, for the asymptotically strong (super-Schwinger) magnetic field B exceeding the critical value Bcr=m2c3/eh=4.4×1013G, the vacuum polarization effects become important not only in the…

Dynamical chiral symmetry breaking in QED in a magnetic field: Toward exact results

- Physics
- 1999

We describe an (first, to the best of our knowledge) essentially soluble example of dynamical symmetry breaking phenomenon in a (3+1) -dimensional gauge theory without fundamental scalar fields: QED…