9808035v1

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{field, particle, equation}
{equation, function, exp}
{force, casimir, field}
{group, space, representation}
{particle, mechanics, theory}
{level, atom, field}
{operator, operators, space}
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{spin, pulse, spins}
{let, theorem, proof}

Charge Renormalization in a New Kind of Non-Local Quantum Electrodynamics

S. S. Sannikov, A. A. Stanislavsky

abstract: The goal of this message is to calculate radiative corrections to the Sommerfeld fine structure constant in the framework of a new QED in which particles are described by bilocal fields. The bare constant is 1/136 where 136 is a dimension of the dynamical group of the bihamiltonian system underlying the suggested elementary particle theory. Our calculations in the second order of perturbation theory give the renormalized Sommerfeld constant 1/137.0345. We believe the difference (137.0359 - 137.0345) between corresponding experimental and theoretical values may be understood as corrections of the fourth order.

oai_identifier:
oai:arXiv.org:quant-ph/9808035
categories:
quant-ph
comments:
RevTeX, 6 pages
arxiv_id:
quant-ph/9808035
created:
1998-08-20

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