Convolution of Lorentz Invariant Ultradistributions and Field Theory

In this work, a general definition of convolution between two arbitrary four dimensional Lorentz invariant (fdLi) Tempered Ultradistributions is given, in both: Minkowskian and Euclidean Space (Spherically symmetric tempered ultradistributions). The product of two arbitrary fdLi distributions of exp...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Bollini, Carlos Guido, Rocca, Mario Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2004
Materias:
Física
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132513
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132513
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
spellingShingle Física
Bollini, Carlos Guido
Rocca, Mario Carlos
Convolution of Lorentz Invariant Ultradistributions and Field Theory
topic_facet Física
description In this work, a general definition of convolution between two arbitrary four dimensional Lorentz invariant (fdLi) Tempered Ultradistributions is given, in both: Minkowskian and Euclidean Space (Spherically symmetric tempered ultradistributions). The product of two arbitrary fdLi distributions of exponential type is defined via the convolution of its corresponding Fourier Transforms. Several examples of convolution of two fdLi Tempered Ultradistributions are given. In particular we calculate exactly the convolution of two Feynman's massless propagators. An expression for the Fourier Transform of a Lorentz invariant Tempered Ultradistribution in terms of modified Bessel distributions is obtained in this work (Generalization of Bochner's formula to Minkowskian space). At the same time, and in a previous step used for the deduction of the convolution formula, we obtain the generalization to the Minkowskian space, of the dimensional regularization of the perturbation theory of Green Functions in the Euclidean configuration space given in ref.[12]. As an example we evaluate the convolution of two n-dimensional complex-mass Wheeler's propagators.
format Articulo
Preprint
author Bollini, Carlos Guido
Rocca, Mario Carlos
author_facet Bollini, Carlos Guido
Rocca, Mario Carlos
author_sort Bollini, Carlos Guido
title Convolution of Lorentz Invariant Ultradistributions and Field Theory
title_short Convolution of Lorentz Invariant Ultradistributions and Field Theory
title_full Convolution of Lorentz Invariant Ultradistributions and Field Theory
title_fullStr Convolution of Lorentz Invariant Ultradistributions and Field Theory
title_full_unstemmed Convolution of Lorentz Invariant Ultradistributions and Field Theory
title_sort convolution of lorentz invariant ultradistributions and field theory
publishDate 2004
url http://sedici.unlp.edu.ar/handle/10915/132513
work_keys_str_mv AT bollinicarlosguido convolutionoflorentzinvariantultradistributionsandfieldtheory
AT roccamariocarlos convolutionoflorentzinvariantultradistributionsandfieldtheory
bdutipo_str Repositorios
_version_ 1764820454048006144

Ejemplares similares