Lowest-order radiative level shifts in Coulomb-gauge electrodynamics

Journal Article · Sat May 15 00:00:00 EDT 1976 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.13.2851· OSTI ID:7192744

Grotch, H; Kazes, E

The calculation of the lowest-order radiative level shifts in Coulomb-gauge electrodynamics is carried out in Dirac single-particle theory (SPT) and in the complete quantum electrodynamics (QED), in order to examine the computational shortcomings of SPT in regard to the electron's anomalous magnetic moment. In SPT the Coulomb self-mass is zero and the transverse mass shift is linearly divergent, while in QED both mass shifts are logarithmically divergent. The cutoff-dependent calculation of g - 2 in SPT leads to a quadratically divergent result, which for a reasonable choice of cutoff is of the wrong sign. The corresponding QED calculation gives logarithmically divergent contributions for the self-Coulomb and transverse parts but these divergences cancel in the sum. The transverse energy shifts are separated into fluctuation and spin parts, and the differences between SPT and QED with respect to these separate pieces are examined. (AIP)

• Research Organization: Department of Physics, The Pennsylvania State University, University Park, Pennsylvania 16802
• OSTI ID: 7192744
• Journal Information: Phys. Rev., D; (United States), Vol. 13:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ELECTRONS
MAGNETIC MOMENTS
QUANTUM ELECTRODYNAMICS
SPECTRAL SHIFT
COULOMB FIELD
DIRAC EQUATION
RADIATIVE CORRECTIONS
CORRECTIONS
DIFFERENTIAL EQUATIONS
ELECTRIC FIELDS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
FIELD THEORIES
LEPTONS
QUANTUM FIELD THEORY
WAVE EQUATIONS
645400* - High Energy Physics- Field Theory
645202 - High Energy Physics- Particle Interactions & Properties-Theoretical- Electromagnetic Interactions & Properties