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Infrared divergence enforces a rearranged perturbation expansion II QED

For pt.I see ibid., vol.39A, p.604 (1977). Part I showed, for the case of scalar electrodynamics, that the ordinary perturbation expansion (OPE) must, except in certain cases, be rearranged in order to carry out uniquely the infrared (IR) exponentiation in a translation- and gauge-invariant way. The...

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Autor principal: Matsson, L
Lenguaje:eng
Publicado: 1977
Materias:
Acceso en línea:http://cds.cern.ch/record/878587
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author Matsson, L
author_facet Matsson, L
author_sort Matsson, L
collection CERN
description For pt.I see ibid., vol.39A, p.604 (1977). Part I showed, for the case of scalar electrodynamics, that the ordinary perturbation expansion (OPE) must, except in certain cases, be rearranged in order to carry out uniquely the infrared (IR) exponentiation in a translation- and gauge-invariant way. The uniqueness of the exponent of order alpha follows from requiring exact order-by-order agreement with the OPE before summation and also from requiring that exponentiation of all factorizable parts must be done before integration. This technique is applied to ordinary spinor QED and a similar result is obtained without making the gamma -matrix algebra more complicated than in the OPE. This technique explicitly exhibits the structure of the remaining IR-regular part, which appears in terms of a correlation expansion with respect to photon momenta. (9 refs).
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institution Organización Europea para la Investigación Nuclear
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publishDate 1977
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spelling cern-8785872019-09-30T06:29:59Zhttp://cds.cern.ch/record/878587engMatsson, LInfrared divergence enforces a rearranged perturbation expansion II QEDParticle Physics - PhenomenologyFor pt.I see ibid., vol.39A, p.604 (1977). Part I showed, for the case of scalar electrodynamics, that the ordinary perturbation expansion (OPE) must, except in certain cases, be rearranged in order to carry out uniquely the infrared (IR) exponentiation in a translation- and gauge-invariant way. The uniqueness of the exponent of order alpha follows from requiring exact order-by-order agreement with the OPE before summation and also from requiring that exponentiation of all factorizable parts must be done before integration. This technique is applied to ordinary spinor QED and a similar result is obtained without making the gamma -matrix algebra more complicated than in the OPE. This technique explicitly exhibits the structure of the remaining IR-regular part, which appears in terms of a correlation expansion with respect to photon momenta. (9 refs).oai:cds.cern.ch:8785871977
spellingShingle Particle Physics - Phenomenology
Matsson, L
Infrared divergence enforces a rearranged perturbation expansion II QED
title Infrared divergence enforces a rearranged perturbation expansion II QED
title_full Infrared divergence enforces a rearranged perturbation expansion II QED
title_fullStr Infrared divergence enforces a rearranged perturbation expansion II QED
title_full_unstemmed Infrared divergence enforces a rearranged perturbation expansion II QED
title_short Infrared divergence enforces a rearranged perturbation expansion II QED
title_sort infrared divergence enforces a rearranged perturbation expansion ii qed
topic Particle Physics - Phenomenology
url http://cds.cern.ch/record/878587
work_keys_str_mv AT matssonl infrareddivergenceenforcesarearrangedperturbationexpansioniiqed