Derivation of Bessel function closed-form solutions in zero dimensional φ4-field theory

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DC Field	Value	Language
dc.contributor.author	Munasinghe, R. M	-
dc.date.accessioned	2023-02-12T04:10:36Z	-
dc.date.available	2023-02-12T04:10:36Z	-
dc.date.issued	2023-02	-
dc.identifier.issn	24058440	-
dc.identifier.uri	https://rda.sliit.lk/handle/123456789/3274	-
dc.description.abstract	The integral ∫−∞∞e−xdx 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.	en_US
dc.language.iso	en	en_US
dc.publisher	Elsevier Ltd	en_US
dc.relation.ispartofseries	HeliyonOpen Access;Volume 9, Issue 2	-
dc.subject	0-dimensional quartic anharmonic oscillator	en_US
dc.subject	0-dimensional φ4-field theory	en_US
dc.subject	Bessel functions	en_US
dc.subject	Closed-form solution	en_US
dc.subject	Perturbation theory	en_US
dc.subject	Solvable quantum field theory	en_US
dc.title	Derivation of Bessel function closed-form solutions in zero dimensional φ4-field theory	en_US
dc.type	Article	en_US
dc.identifier.doi	10.1016/j.heliyon.2023.e13168	en_US
Appears in Collections:	Department of Information Management Research Papers - Dept of Information of Management Research Papers - SLIIT Staff Publications Research Papers - SLIIT Staff Publications Research Publications -Dept of Information Technology

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