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 OO \mathcal{O} (N) symmetry we discuss the analytic structure of the flowing action and show how it is possible to derive and s...

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Bibliographic Details
Main Author: Flörchinger, Stefan (Author)
Format: Article (Journal)
Language:English
Published: 07 May 2012
In: Journal of high energy physics
Year: 2012, Issue: 5, Pages: 1-34
ISSN:1029-8479
DOI:10.1007/JHEP05(2012)021
Online Access:Verlag, kostenfrei, Volltext: http://dx.doi.org/10.1007/JHEP05(2012)021
Verlag, kostenfrei, Volltext: https://link.springer.com/article/10.1007/JHEP05(2012)021
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Author Notes:Stefan Floerchinger
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Summary:Functional renormalization group equations are analytically continued from imaginary Matsubara frequencies to the real frequency axis. On the example of a scalar field with OO \mathcal{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.
Item Description:Gesehen am 27.11.2017
Physical Description:Online Resource
ISSN:1029-8479
DOI:10.1007/JHEP05(2012)021