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Analytic continuation of functional renormalization group equations

Functional renormalization group equations are analytically continued from imaginary Matsubara frequencies to the real frequency axis. On the example of a scalar field with O(N) symmetry we discuss the analytic structure of the flowing action and show how it is possible to derive and solve flow equa...

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Autor principal: Floerchinger, Stefan
Lenguaje:eng
Publicado: 2011
Materias:
Acceso en línea:https://dx.doi.org/10.1007/JHEP05(2012)021
http://cds.cern.ch/record/1408596
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author Floerchinger, Stefan
author_facet Floerchinger, Stefan
author_sort Floerchinger, Stefan
collection CERN
description Functional renormalization group equations are analytically continued from imaginary Matsubara frequencies to the real frequency axis. On the example of a scalar field with O(N) symmetry we discuss the analytic structure of the flowing action and show how it is possible to derive and solve flow equations for real-time properties such as propagator residues and particle decay widths. The formalism conserves space-time symmetries such as Lorentz or Galilei invariance and allows for improved, self-consistent approximations in terms of derivative expansions in Minkowski space.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2011
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spelling cern-14085962023-10-04T06:01:01Zdoi:10.1007/JHEP05(2012)021http://cds.cern.ch/record/1408596engFloerchinger, StefanAnalytic continuation of functional renormalization group equationsParticle Physics - TheoryFunctional renormalization group equations are analytically continued from imaginary Matsubara frequencies to the real frequency axis. On the example of a scalar field with O(N) symmetry we discuss the analytic structure of the flowing action and show how it is possible to derive and solve flow equations for real-time properties such as propagator residues and particle decay widths. The formalism conserves space-time symmetries such as Lorentz or Galilei invariance and allows for improved, self-consistent approximations in terms of derivative expansions in Minkowski space.Functional renormalization group equations are analytically continued from imaginary Matsubara frequencies to the real frequency axis. On the example of a scalar field with O(N) symmetry we discuss the analytic structure of the flowing action and show how it is possible to derive and solve flow equations for real-time properties such as propagator residues and particle decay widths. The formalism conserves space-time symmetries such as Lorentz or Galilei invariance and allows for improved, self-consistent approximations in terms of derivative expansions in Minkowski space.arXiv:1112.4374CERN-PH-TH-2011-320CERN-PH-TH-2011-320oai:cds.cern.ch:14085962011-12-20
spellingShingle Particle Physics - Theory
Floerchinger, Stefan
Analytic continuation of functional renormalization group equations
title Analytic continuation of functional renormalization group equations
title_full Analytic continuation of functional renormalization group equations
title_fullStr Analytic continuation of functional renormalization group equations
title_full_unstemmed Analytic continuation of functional renormalization group equations
title_short Analytic continuation of functional renormalization group equations
title_sort analytic continuation of functional renormalization group equations
topic Particle Physics - Theory
url https://dx.doi.org/10.1007/JHEP05(2012)021
http://cds.cern.ch/record/1408596
work_keys_str_mv AT floerchingerstefan analyticcontinuationoffunctionalrenormalizationgroupequations