Few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem

For non-relativistic quantum field theory in the few-body limit with instantaneous interactions it is shown within the functional renormalization group formalism that propagators are not renormalized and that the renormalization group equations of one-particle irreducible vertex functions are govern...

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Autor principal: Floerchinger, Stefan
Lenguaje:eng
Publicado: 2013
Materias:
Nuclear Physics - Theory
Acceso en línea:https://dx.doi.org/10.1016/j.nuclphysa.2014.04.013
http://cds.cern.ch/record/1510353
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author Floerchinger, Stefan
author_facet Floerchinger, Stefan
author_sort Floerchinger, Stefan
collection CERN
description For non-relativistic quantum field theory in the few-body limit with instantaneous interactions it is shown within the functional renormalization group formalism that propagators are not renormalized and that the renormalization group equations of one-particle irreducible vertex functions are governed by a hierarchical structure. This hierarchy allows to solve the equations in the n-body sector without knowledge or assumptions about the m-body sectors where m>n.
id cern-1510353
institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2013
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spelling cern-15103532023-03-14T17:53:36Zdoi:10.1016/j.nuclphysa.2014.04.013http://cds.cern.ch/record/1510353engFloerchinger, StefanFew-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theoremNuclear Physics - TheoryFor non-relativistic quantum field theory in the few-body limit with instantaneous interactions it is shown within the functional renormalization group formalism that propagators are not renormalized and that the renormalization group equations of one-particle irreducible vertex functions are governed by a hierarchical structure. This hierarchy allows to solve the equations in the n-body sector without knowledge or assumptions about the m-body sectors where m>n.For non-relativistic quantum field theory in the few-body limit with instantaneous interactions it is shown within the functional renormalization group formalism that propagators are not renormalized and that the renormalization group equations of one-particle irreducible vertex functions are governed by a hierarchical structure. This hierarchy allows to solve the equations in the n-body sector without knowledge or assumptions about the m-body sectors where m>n.For non-relativistic quantum field theory in the few-body limit with instantaneous interactions it is shown within the functional renormalization group formalism that propagators are not renormalized and that the renormalization group equations of one-particle irreducible vertex functions are governed by a hierarchical structure. This hierarchy allows to solve the equations in the n -body sector without knowledge or assumptions about the m -body sectors where m>n .For non-relativistic quantum field theory in the few-body limit with instantaneous interactions it is shown within the functional renormalization group formalism that propagators are not renormalized and that the renormalization group equations of one-particle irreducible vertex functions are governed by a hierarchical structure. This hierarchy allows to solve the equations in the n-body sector without knowledge or assumptions about the m-body sectors where m>n.arXiv:1301.6542CERN-PH-TH-2013-014CERN-PH-TH-2013-014oai:cds.cern.ch:15103532013-01-29
spellingShingle Nuclear Physics - Theory
Floerchinger, Stefan
Few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem
title Few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem
title_full Few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem
title_fullStr Few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem
title_full_unstemmed Few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem
title_short Few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem
title_sort few-body hierarchy in non-relativistic functional renormalization group equations and a decoupling theorem
topic Nuclear Physics - Theory
url https://dx.doi.org/10.1016/j.nuclphysa.2014.04.013
http://cds.cern.ch/record/1510353
work_keys_str_mv AT floerchingerstefan fewbodyhierarchyinnonrelativisticfunctionalrenormalizationgroupequationsandadecouplingtheorem

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