Abstract
A parametric alpha -representation of Feynman amplitude for any spinor graph, which is expressed in terms of the Meijer's G functions, is obtained. This representation is valid both for divergent and convergent graphs. The available ChisholmNakanishi-Symanzik alpha -representation for convergent scalar graph turns out to be a special of the formula obtained. Besides that, the expression has a number of useful features. This representation automatically removes the infrared divergencies connected with zero photon mass. The expression has a form in which the scale-invariant terms are explicitly separated from the terms breaking the invariance. It is shown by considering the simplest graphs of quantum electrodynamics that this representation keeps gauge invariance and Ward's identity for renormalized amplitudes. (auth)
Citation Formats
Kucheryavyi, V I.
Feynman amplitude and the Meijer's function. A unified representation for divergent and convergent graphs.
Ukraine: N. p.,
1973.
Web.
Kucheryavyi, V I.
Feynman amplitude and the Meijer's function. A unified representation for divergent and convergent graphs.
Ukraine.
Kucheryavyi, V I.
1973.
"Feynman amplitude and the Meijer's function. A unified representation for divergent and convergent graphs."
Ukraine.
@misc{etde_4939781,
title = {Feynman amplitude and the Meijer's function. A unified representation for divergent and convergent graphs}
author = {Kucheryavyi, V I}
abstractNote = {A parametric alpha -representation of Feynman amplitude for any spinor graph, which is expressed in terms of the Meijer's G functions, is obtained. This representation is valid both for divergent and convergent graphs. The available ChisholmNakanishi-Symanzik alpha -representation for convergent scalar graph turns out to be a special of the formula obtained. Besides that, the expression has a number of useful features. This representation automatically removes the infrared divergencies connected with zero photon mass. The expression has a form in which the scale-invariant terms are explicitly separated from the terms breaking the invariance. It is shown by considering the simplest graphs of quantum electrodynamics that this representation keeps gauge invariance and Ward's identity for renormalized amplitudes. (auth)}
place = {Ukraine}
year = {1973}
month = {Dec}
}
title = {Feynman amplitude and the Meijer's function. A unified representation for divergent and convergent graphs}
author = {Kucheryavyi, V I}
abstractNote = {A parametric alpha -representation of Feynman amplitude for any spinor graph, which is expressed in terms of the Meijer's G functions, is obtained. This representation is valid both for divergent and convergent graphs. The available ChisholmNakanishi-Symanzik alpha -representation for convergent scalar graph turns out to be a special of the formula obtained. Besides that, the expression has a number of useful features. This representation automatically removes the infrared divergencies connected with zero photon mass. The expression has a form in which the scale-invariant terms are explicitly separated from the terms breaking the invariance. It is shown by considering the simplest graphs of quantum electrodynamics that this representation keeps gauge invariance and Ward's identity for renormalized amplitudes. (auth)}
place = {Ukraine}
year = {1973}
month = {Dec}
}