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Analytic continuation of functional renormalization group equations

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arxiv 1112.4374 v2 pith:QL7N3TSF submitted 2011-12-19 hep-th cond-mat.quant-gashep-phnucl-th

classification hep-thcond-mat.quant-gashep-phnucl-th
keywords equationsanalyticfunctionalgrouprenormalizationactionallowsanalytically
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 5 Pith papers

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