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2011

Analytic continuation of functional renormalization group equations

Floerchinger, Stefan

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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.

Analytic continuation of functional renormalization group equations · Around

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