Analytic continuation of functional renormalization group equations

Details Analytic continuation of functional renormalization group equations Analytic continuation of functional renormalization group equations

2011-12-19

arxiv.org/abs/1112.4374v1

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, 5 figures

Scientific paper

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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