Improved Epstein–Glaser renormalization in x-space versus differential renormalization

Improved Epstein–Glaser renormalization in x-space versus differential renormalization

Renormalization of massless Feynman amplitudes in x-space is reexamined here, using almost exclusively real-variable methods. We compute a wealth of concrete examples by means of recursive extension of distributions. This allows us to show perturbative expansions for the four-point and two-point fun...

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Main Authors: José M. Gracia-Bondía, Heidy Gutiérrez, Joseph C. Várilly
Format: Article
Language:English
Published: Elsevier 2014-09-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321314002375
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spelling doaj-0b7a17a6e75b42ccbe2c94cb62f5c9d52020-11-24T22:47:24ZengElsevierNuclear Physics B0550-32131873-15622014-09-01886C82486910.1016/j.nuclphysb.2014.07.018Improved Epstein–Glaser renormalization in x-space versus differential renormalizationJosé M. Gracia-Bondía0Heidy Gutiérrez1Joseph C. Várilly2Department of Theoretical Physics, Universidad de Zaragoza, 50009 Zaragoza, SpainDepartment of Physics, Universidad de Costa Rica, San José 11501, Costa RicaDepartment of Mathematics, Universidad de Costa Rica, San José 11501, Costa RicaRenormalization of massless Feynman amplitudes in x-space is reexamined here, using almost exclusively real-variable methods. We compute a wealth of concrete examples by means of recursive extension of distributions. This allows us to show perturbative expansions for the four-point and two-point functions at several loop order. To deal with internal vertices, we expound and expand on convolution theory for log-homogeneous distributions. The approach has much in common with differential renormalization as given by Freedman, Johnson and Latorre; but differs in important details.http://www.sciencedirect.com/science/article/pii/S0550321314002375
collection DOAJ
language English
format Article
sources DOAJ
author José M. Gracia-Bondía
Heidy Gutiérrez
Joseph C. Várilly
spellingShingle José M. Gracia-Bondía
Heidy Gutiérrez
Joseph C. Várilly
Improved Epstein–Glaser renormalization in x-space versus differential renormalization
Nuclear Physics B
author_facet José M. Gracia-Bondía
Heidy Gutiérrez
Joseph C. Várilly
author_sort José M. Gracia-Bondía
title Improved Epstein–Glaser renormalization in x-space versus differential renormalization
title_short Improved Epstein–Glaser renormalization in x-space versus differential renormalization
title_full Improved Epstein–Glaser renormalization in x-space versus differential renormalization
title_fullStr Improved Epstein–Glaser renormalization in x-space versus differential renormalization
title_full_unstemmed Improved Epstein–Glaser renormalization in x-space versus differential renormalization
title_sort improved epstein–glaser renormalization in x-space versus differential renormalization
publisher Elsevier
series Nuclear Physics B
issn 0550-3213
1873-1562
publishDate 2014-09-01
description Renormalization of massless Feynman amplitudes in x-space is reexamined here, using almost exclusively real-variable methods. We compute a wealth of concrete examples by means of recursive extension of distributions. This allows us to show perturbative expansions for the four-point and two-point functions at several loop order. To deal with internal vertices, we expound and expand on convolution theory for log-homogeneous distributions. The approach has much in common with differential renormalization as given by Freedman, Johnson and Latorre; but differs in important details.
url http://www.sciencedirect.com/science/article/pii/S0550321314002375
work_keys_str_mv AT josemgraciabondia improvedepsteinglaserrenormalizationinxspaceversusdifferentialrenormalization
AT heidygutierrez improvedepsteinglaserrenormalizationinxspaceversusdifferentialrenormalization
AT josephcvarilly improvedepsteinglaserrenormalizationinxspaceversusdifferentialrenormalization
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