Convolution of Ultradistributions, Field Theory, Lorentz Invariance and Resonances

In this work, a general definition of convolution between two arbitrary Ultradistributions of Exponential type (UET) is given. The product of two arbitrary UET is defined via the convolution of its corresponding Fourier Transforms. Some examples of convolution of two UET are given. Expressions for...

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Detalles Bibliográficos
Autores principales: Bollini, Carlos Guido, Marchiano, Paula Esther, Rocca, Mario Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2007
Materias:
Física
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132135
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132135
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
Marchiano, Paula Esther
Rocca, Mario Carlos
Convolution of Ultradistributions, Field Theory, Lorentz Invariance and Resonances
topic_facet Física
description In this work, a general definition of convolution between two arbitrary Ultradistributions of Exponential type (UET) is given. The product of two arbitrary UET is defined via the convolution of its corresponding Fourier Transforms. Some examples of convolution of two UET are given. Expressions for the Fourier Transform of spherically symmetric (in Euclidean space) and Lorentz invariant (in Minkowskian space) UET in term of modified Bessel distributions are obtained (Generalization of Bochner’s theorem). The generalization to UET of dimensional regularization in configuration space is obtained in both, Euclidean and Minkowskian spaces As an application of our formalism, we give a solution to the question of normalization of resonances in Quantum Mechanics. General formulae for convolution of even, spherically symmetric and Lorentz invariant UET are obtained and several examples of application are given.
format Articulo
Preprint
author Bollini, Carlos Guido
Marchiano, Paula Esther
Rocca, Mario Carlos
author_facet Bollini, Carlos Guido
Marchiano, Paula Esther
Rocca, Mario Carlos
author_sort Bollini, Carlos Guido
title Convolution of Ultradistributions, Field Theory, Lorentz Invariance and Resonances
title_short Convolution of Ultradistributions, Field Theory, Lorentz Invariance and Resonances
title_full Convolution of Ultradistributions, Field Theory, Lorentz Invariance and Resonances
title_fullStr Convolution of Ultradistributions, Field Theory, Lorentz Invariance and Resonances
title_full_unstemmed Convolution of Ultradistributions, Field Theory, Lorentz Invariance and Resonances
title_sort convolution of ultradistributions, field theory, lorentz invariance and resonances
publishDate 2007
url http://sedici.unlp.edu.ar/handle/10915/132135
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AT marchianopaulaesther convolutionofultradistributionsfieldtheorylorentzinvarianceandresonances
AT roccamariocarlos convolutionofultradistributionsfieldtheorylorentzinvarianceandresonances
bdutipo_str Repositorios
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