Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data

Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data

Abstract We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture. Moreover, we consider the extraction of physical observables from the lattice spectrum using the quantization condition. To illustrate the general framework, we...

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Main Authors: Hans-Werner Hammer, Jin-Yi Pang, Akaki Rusetsky
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Journal of High Energy Physics
Subjects:
Lattice field theory simulation
Online Access:http://link.springer.com/article/10.1007/JHEP10(2017)115
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spelling doaj-5ead31af87e04243b9d09e48dadf53e22020-11-24T20:41:33ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171013110.1007/JHEP10(2017)115Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of dataHans-Werner Hammer0Jin-Yi Pang1Akaki Rusetsky2Institut für Kernphysik, Technische Universität DarmstadtHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnHelmholtz-Institut für Strahlen- und Kernphysik (Theorie) and Bethe Center for Theoretical Physics, Universität BonnAbstract We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture. Moreover, we consider the extraction of physical observables from the lattice spectrum using the quantization condition. To illustrate the general framework, we calculate the volume-dependent three-particle spectrum in a simple model both below and above the three-particle threshold. The relation to existing approaches is discussed in detail.http://link.springer.com/article/10.1007/JHEP10(2017)115Lattice field theory simulation
collection DOAJ
language English
format Article
sources DOAJ
author Hans-Werner Hammer
Jin-Yi Pang
Akaki Rusetsky
spellingShingle Hans-Werner Hammer
Jin-Yi Pang
Akaki Rusetsky
Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data
Journal of High Energy Physics
Lattice field theory simulation
author_facet Hans-Werner Hammer
Jin-Yi Pang
Akaki Rusetsky
author_sort Hans-Werner Hammer
title Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data
title_short Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data
title_full Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data
title_fullStr Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data
title_full_unstemmed Three-particle quantization condition in a finite volume: 2. General formalism and the analysis of data
title_sort three-particle quantization condition in a finite volume: 2. general formalism and the analysis of data
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2017-10-01
description Abstract We derive the three-body quantization condition in a finite volume using an effective field theory in the particle-dimer picture. Moreover, we consider the extraction of physical observables from the lattice spectrum using the quantization condition. To illustrate the general framework, we calculate the volume-dependent three-particle spectrum in a simple model both below and above the three-particle threshold. The relation to existing approaches is discussed in detail.
topic Lattice field theory simulation
url http://link.springer.com/article/10.1007/JHEP10(2017)115
work_keys_str_mv AT hanswernerhammer threeparticlequantizationconditioninafinitevolume2generalformalismandtheanalysisofdata
AT jinyipang threeparticlequantizationconditioninafinitevolume2generalformalismandtheanalysisofdata
AT akakirusetsky threeparticlequantizationconditioninafinitevolume2generalformalismandtheanalysisofdata
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