Derivation of Bessel function closed-form solutions in zero dimensional φ(4)-field theory

The integral [Formula: see text] is used as an introductory learning tool in the study of Quantum Field Theory and path integrals. Typically, it is analyzed via perturbation theory. Closed-form solutions have been quoted for which I could not find any derivation. Using a simple and elegant transform...

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Detalles Bibliográficos
Autor principal: Munasinghe, Ranjiva M.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Elsevier 2023
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9898049/
https://www.ncbi.nlm.nih.gov/pubmed/36747526
http://dx.doi.org/10.1016/j.heliyon.2023.e13168
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author Munasinghe, Ranjiva M.
author_facet Munasinghe, Ranjiva M.
author_sort Munasinghe, Ranjiva M.
collection PubMed
description The integral [Formula: see text] is used as an introductory learning tool in the study of Quantum Field Theory and path integrals. Typically, it is analyzed via perturbation theory. Closed-form solutions have been quoted for which I could not find any derivation. Using a simple and elegant transformation, the close form solutions for the integral and its even positive integer moments can be obtained in terms of Bessel functions.
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spelling pubmed-98980492023-02-05 Derivation of Bessel function closed-form solutions in zero dimensional φ(4)-field theory Munasinghe, Ranjiva M. Heliyon Research Article The integral [Formula: see text] is used as an introductory learning tool in the study of Quantum Field Theory and path integrals. Typically, it is analyzed via perturbation theory. Closed-form solutions have been quoted for which I could not find any derivation. Using a simple and elegant transformation, the close form solutions for the integral and its even positive integer moments can be obtained in terms of Bessel functions. Elsevier 2023-01-24 /pmc/articles/PMC9898049/ /pubmed/36747526 http://dx.doi.org/10.1016/j.heliyon.2023.e13168 Text en © 2023 The Author https://creativecommons.org/licenses/by-nc-nd/4.0/This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
spellingShingle Research Article
Munasinghe, Ranjiva M.
Derivation of Bessel function closed-form solutions in zero dimensional φ(4)-field theory
title Derivation of Bessel function closed-form solutions in zero dimensional φ(4)-field theory
title_full Derivation of Bessel function closed-form solutions in zero dimensional φ(4)-field theory
title_fullStr Derivation of Bessel function closed-form solutions in zero dimensional φ(4)-field theory
title_full_unstemmed Derivation of Bessel function closed-form solutions in zero dimensional φ(4)-field theory
title_short Derivation of Bessel function closed-form solutions in zero dimensional φ(4)-field theory
title_sort derivation of bessel function closed-form solutions in zero dimensional φ(4)-field theory
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9898049/
https://www.ncbi.nlm.nih.gov/pubmed/36747526
http://dx.doi.org/10.1016/j.heliyon.2023.e13168
work_keys_str_mv AT munasingheranjivam derivationofbesselfunctionclosedformsolutionsinzerodimensionalph4fieldtheory

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