Electrodynamics of the neutrino in solid media

Leinson, L. B.; Oraevskiĭ, V. N.; Semikoz, V. B.; Smorodinskii, Ya.A.

doi:10.1070/pu1990v033n07abeh002610

Cited by 7 publications

(15 citation statements)

References 9 publications

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“…Then, for the light hydrogenlike atoms Eq. (66) can be further simplified to in [17,44,45] should be also subjected to revision. (This statement does not concern the conclusions about the effect of photon capture through positronium formation in the pulsar magnetospheres made in [17]).…”

Section: B Moderate Magnetic Fieldsmentioning

confidence: 99%

Electric field of a pointlike charge in a strong magnetic field and ground state of a hydrogenlike atom

Shabad

Усов

2008

Phys. Rev. D

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In an external constant magnetic field, so strong that the electron Larmour length is much shorter than its Compton length, we consider the modification of the Coulomb potential of a point charge owing to the vacuum polarization. We establish a short-range component of the static interaction in the Larmour scale, expressed as a Yukawa-like law, and reveal the corresponding "photon mass"parameter. The electrostatic force regains its long-range character in the Compton scale: the tail of the potential follows an anisotropic Coulomb law, decreasing away from the charge slower along the magnetic field and faster across. In the infinite-magnetic-field limit the potential is confined to an infinitely thin string passing though the charge parallel to the external field. This is the first evidence for dimensional reduction in the photon sector of quantum electrodynamics. The one-dimensional form of the potential on the string is derived that includes a δ-function centered in the charge. The nonrelativistic ground-state energy of a hydrogenlike atom is found with its use and shown not to be infinite in the infinite-field limit, contrary to what was commonly accepted before, when the vacuum polarization had been ignored. These results may be useful for studying properties of matter at the surface of extremely magnetized neutron stars.

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Section: B Moderate Magnetic Fieldsmentioning

confidence: 99%

Electric field of a pointlike charge in a strong magnetic field and ground state of a hydrogenlike atom

Shabad

Усов

2008

Phys. Rev. D

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“…In this way the behavior (2) is reproduced for the ground state [9] - [11]. A completely relativistic solution for positronium in a strong magnetic field remains unknown.…”

Section: Introductionmentioning

confidence: 93%

“…Moreover, a conjecture exists [17] that the Feynman rules in the high magnetic field limit may be directly served by two-dimensional (one space + one time) form of electron propagators. As applied to the Bethe-Salpeter equation, the dimensional reduction in high magnetic field was considered in [9,10]. In these references the well-known simultaneous approximation to the Bethe-Salpeter equation taken in the integral form was exploited, appropriate for nonrelativistic treatment of the relative motion of the two charged particles.…”

Section: Two-dimensional Bethe-salpeter Equation For Positron-iummentioning

confidence: 99%

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

Shabad

Усов

2006

Phys. Rev. D

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We study the electron-positron system in a strong magnetic field using the differential BetheSalpeter equation in the ladder approximation. We derive the fully relativistic two-dimensional form that the four-dimensional Bethe-Salpeter equation takes in the limit of asymptotically strong constant and homogeneous magnetic field. An ultimate 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 vanishing of the energy gap separating the electron-positron system from the vacuum. The compensation becomes possible owing to the falling to the center phenomenon that occurs in a strong magnetic field because of the dimensional reduction. The solution of the Bethe-Salpeter equation corresponding to the vanishing energy-momentum of the electron-positron system is obtained.

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“…The year 1985 was marked by a number of papers, where the authors tried to take into account the positronium contribution into the dispersion equation of a photon which propagates in a superstrong magnetic field (Leinson & Oraevsky, [1], [2]); Herold et al, [3]; Shabad & Usov, [4]). Nevertheless, the correct solution of the completely relativistic problem for the bound states of an electron and positron in a superstrong magnetic field remains unknown.…”

Section: Introductionmentioning

confidence: 99%

Relativistic approach to positronium levels in a strong magnetic field

Leinson

Perez

2000

J. High Energy Phys.

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We have investigated the bound states of an electron and positron in superstrong magnetic fields typical for neutron stars. The complete relativistic problem of positronium in a strong magnetic field has not been succesfully solved up to now. In particular, we have studied the positronium when it moves relativistically across the magnetic field. A number of problems which deal with the pulsar magnetosphere, as well as the evolution of protoneutron stars, could be considered as a field for application.

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Electrodynamics of the neutrino in solid media

Cited by 7 publications

References 9 publications

Electric field of a pointlike charge in a strong magnetic field and ground state of a hydrogenlike atom

Electric field of a pointlike charge in a strong magnetic field and ground state of a hydrogenlike atom

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

Relativistic approach to positronium levels in a strong magnetic field

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