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Title: Quantum electrodynamics based on self-fields, without second quantization: A nonrelativistic calculation of g-2

Abstract

Using a formulation of quantum electrodynamics that is not second quantized, but rather based on self-fields, we compute the anomalous magnetic moment of the electron to first order in the fine-structure constant ..cap alpha... In the nonrelativistic (NR) case and in the dipole approximation, our result is a/sub e/equivalent(g-2)/2 = (4..lambda../3m)(..cap alpha../2..pi..), where ..lambda.. is a positive photon energy cutoff and m the electron mass. A reasonable choice of cutoff, ..lambda../m = (3/4, yields the correct sign and magnitude for g-2 namely, a/sub e/ = +..cap alpha../2..pi... In our formulation the sign of a/sub 3/ is correctly positive, independent of cutoff, and the demand that a/sub e/ = +..cap alpha../2..pi.. implies a unique value for ..lambda... This is in contradistinction to previous NR calculations of a/sub e/ that employ electromagnetic vacuum fluctuations instead of self-fields; in the vacuum fluctuation case the sign of a/sub e/ is cutoff dependent and the equation a/sub e/ = ..cap alpha../2..pi.. does not have a unique solution in ..lambda...

Authors:
; ;
Publication Date:
Research Org.:
Department of Physics, Campus Box 390, University of Colorado, Boulder, Colorado 80309
OSTI Identifier:
6736458
Resource Type:
Journal Article
Journal Name:
Phys. Rev. A; (United States)
Additional Journal Information:
Journal Volume: 38:9
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ELECTRONS; MAGNETIC MOMENTS; QUANTUM ELECTRODYNAMICS; SELF-ENERGY; ENERGY DENSITY; RADIATIVE CORRECTIONS; SOMMERFELD CONSTANT; CORRECTIONS; ELECTRODYNAMICS; ELEMENTARY PARTICLES; ENERGY; FERMIONS; FIELD THEORIES; LEPTONS; QUANTUM FIELD THEORY; 645400* - High Energy Physics- Field Theory

Citation Formats

Barut, A O, Dowling, J P, and van Huele, J F. Quantum electrodynamics based on self-fields, without second quantization: A nonrelativistic calculation of g-2. United States: N. p., 1988. Web. doi:10.1103/PhysRevA.38.4405.
Barut, A O, Dowling, J P, & van Huele, J F. Quantum electrodynamics based on self-fields, without second quantization: A nonrelativistic calculation of g-2. United States. doi:10.1103/PhysRevA.38.4405.
Barut, A O, Dowling, J P, and van Huele, J F. Tue . "Quantum electrodynamics based on self-fields, without second quantization: A nonrelativistic calculation of g-2". United States. doi:10.1103/PhysRevA.38.4405.
@article{osti_6736458,
title = {Quantum electrodynamics based on self-fields, without second quantization: A nonrelativistic calculation of g-2},
author = {Barut, A O and Dowling, J P and van Huele, J F},
abstractNote = {Using a formulation of quantum electrodynamics that is not second quantized, but rather based on self-fields, we compute the anomalous magnetic moment of the electron to first order in the fine-structure constant ..cap alpha... In the nonrelativistic (NR) case and in the dipole approximation, our result is a/sub e/equivalent(g-2)/2 = (4..lambda../3m)(..cap alpha../2..pi..), where ..lambda.. is a positive photon energy cutoff and m the electron mass. A reasonable choice of cutoff, ..lambda../m = (3/4, yields the correct sign and magnitude for g-2 namely, a/sub e/ = +..cap alpha../2..pi... In our formulation the sign of a/sub 3/ is correctly positive, independent of cutoff, and the demand that a/sub e/ = +..cap alpha../2..pi.. implies a unique value for ..lambda... This is in contradistinction to previous NR calculations of a/sub e/ that employ electromagnetic vacuum fluctuations instead of self-fields; in the vacuum fluctuation case the sign of a/sub e/ is cutoff dependent and the equation a/sub e/ = ..cap alpha../2..pi.. does not have a unique solution in ..lambda...},
doi = {10.1103/PhysRevA.38.4405},
journal = {Phys. Rev. A; (United States)},
number = ,
volume = 38:9,
place = {United States},
year = {1988},
month = {11}
}