skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Modified Coulomb Law in a Strongly Magnetized Vacuum

Abstract

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 radius is much less than its Compton length. At the Larmour distances a scaling law occurs, with the potential determined by a magnetic-field-independent function. The scaling regime implies short-range interaction, expressed by the Yukawa law. The electromagnetic interaction regains its long-range character at distances larger than the Compton length, the potential decreasing across B faster than along. Correction to the nonrelativistic ground-state energy of a hydrogenlike atom is found. In the limit B={infinity}, the modified potential becomes the Dirac {delta} function plus a regular background. With this potential the ground-state energy is finite - the best pronounced effect of the vacuum polarization.

Authors:
 [1];  [2]
  1. P.N. Lebedev Physics Institute, Moscow 117924 (Russian Federation)
  2. Center for Astrophysics, Weizmann Institute, Rehovot 76100 (Israel)
Publication Date:
OSTI Identifier:
20951320
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 18; Other Information: DOI: 10.1103/PhysRevLett.98.180403; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CORRECTIONS; DELTA FUNCTION; ELECTRIC POTENTIAL; ELECTROMAGNETIC INTERACTIONS; ELECTRONS; GROUND STATES; INTERACTION RANGE; LARMOR RADIUS; MAGNETIC FIELDS; POTENTIALS; SCALING LAWS; VACUUM POLARIZATION

Citation Formats

Shabad, Anatoly E., and Usov, Vladimir V.. Modified Coulomb Law in a Strongly Magnetized Vacuum. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.180403.
Shabad, Anatoly E., & Usov, Vladimir V.. Modified Coulomb Law in a Strongly Magnetized Vacuum. United States. doi:10.1103/PHYSREVLETT.98.180403.
Shabad, Anatoly E., and Usov, Vladimir V.. Fri . "Modified Coulomb Law in a Strongly Magnetized Vacuum". United States. doi:10.1103/PHYSREVLETT.98.180403.
@article{osti_20951320,
title = {Modified Coulomb Law in a Strongly Magnetized Vacuum},
author = {Shabad, Anatoly E. and Usov, Vladimir V.},
abstractNote = {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 radius is much less than its Compton length. At the Larmour distances a scaling law occurs, with the potential determined by a magnetic-field-independent function. The scaling regime implies short-range interaction, expressed by the Yukawa law. The electromagnetic interaction regains its long-range character at distances larger than the Compton length, the potential decreasing across B faster than along. Correction to the nonrelativistic ground-state energy of a hydrogenlike atom is found. In the limit B={infinity}, the modified potential becomes the Dirac {delta} function plus a regular background. With this potential the ground-state energy is finite - the best pronounced effect of the vacuum polarization.},
doi = {10.1103/PHYSREVLETT.98.180403},
journal = {Physical Review Letters},
number = 18,
volume = 98,
place = {United States},
year = {Fri May 04 00:00:00 EDT 2007},
month = {Fri May 04 00:00:00 EDT 2007}
}