Cutting rules on a cylinder: a simplified diagrammatic approach to quantum kinetic theory

Abstract Nonequilibrium quantum field theory is often used to derive an approximation for the evolution of number densities and asymmetries in astroparticle models when a more precise treatment of quantum thermal effects is required. This work presents an alternative framework using the zero-tempera...

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Autores principales:	Tomáš Blažek, Peter Maták
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/fbd81f53398848f59a73a25c777e8390
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spelling	oai:doaj.org-article:fbd81f53398848f59a73a25c777e83902021-12-05T12:09:11ZCutting rules on a cylinder: a simplified diagrammatic approach to quantum kinetic theory10.1140/epjc/s10052-021-09874-31434-60441434-6052https://doaj.org/article/fbd81f53398848f59a73a25c777e83902021-12-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09874-3https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract Nonequilibrium quantum field theory is often used to derive an approximation for the evolution of number densities and asymmetries in astroparticle models when a more precise treatment of quantum thermal effects is required. This work presents an alternative framework using the zero-temperature quantum field theory, S-matrix unitarity, and classical Boltzmann equation as starting points leading to a set of rules for calculations of thermal corrections to reaction rates. Statistical factors due to on-shell intermediate states are obtained from the cuts of forward diagrams with multiple spectator lines. It turns out that it is equivalent to cutting closed diagrams on a cylindrical surface.Tomáš BlažekPeter MatákSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 12, Pp 1-8 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Tomáš Blažek Peter Maták Cutting rules on a cylinder: a simplified diagrammatic approach to quantum kinetic theory
description	Abstract Nonequilibrium quantum field theory is often used to derive an approximation for the evolution of number densities and asymmetries in astroparticle models when a more precise treatment of quantum thermal effects is required. This work presents an alternative framework using the zero-temperature quantum field theory, S-matrix unitarity, and classical Boltzmann equation as starting points leading to a set of rules for calculations of thermal corrections to reaction rates. Statistical factors due to on-shell intermediate states are obtained from the cuts of forward diagrams with multiple spectator lines. It turns out that it is equivalent to cutting closed diagrams on a cylindrical surface.
format	article
author	Tomáš Blažek Peter Maták
author_facet	Tomáš Blažek Peter Maták
author_sort	Tomáš Blažek
title	Cutting rules on a cylinder: a simplified diagrammatic approach to quantum kinetic theory
title_short	Cutting rules on a cylinder: a simplified diagrammatic approach to quantum kinetic theory
title_full	Cutting rules on a cylinder: a simplified diagrammatic approach to quantum kinetic theory
title_fullStr	Cutting rules on a cylinder: a simplified diagrammatic approach to quantum kinetic theory
title_full_unstemmed	Cutting rules on a cylinder: a simplified diagrammatic approach to quantum kinetic theory
title_sort	cutting rules on a cylinder: a simplified diagrammatic approach to quantum kinetic theory
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/fbd81f53398848f59a73a25c777e8390
work_keys_str_mv	AT tomasblazek cuttingrulesonacylinderasimplifieddiagrammaticapproachtoquantumkinetictheory AT petermatak cuttingrulesonacylinderasimplifieddiagrammaticapproachtoquantumkinetictheory
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Cutting rules on a cylinder: a simplified diagrammatic approach to quantum kinetic theory

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