Analytic continuation of functional renormalization group equations

Abstract

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.

32 pages, 5 figures, published version

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Cited by in corpus (44)

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• Fluctuation-induced modifications of the phase structure in (2+1)-flavor QCD
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• Towards quantitative precision in the chiral crossover: masses and fluctuation scales
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• Spectral functions from the real-time functional renormalization group
• Renormalization Group Studies of Dense Relativistic Systems
• Fermionic spectral functions with the Functional Renormalization Group
• Tachyonic instability of the scalar mode prior to QCD critical point based on Functional renormalization-group method
• An algebraic QFT approach to the Wetterich equation on Lorentzian manifolds
• On the quark spectral function in QCD
• The QCD moat regime and its real-time properties
• Local potential approximation for the renormalization group flow of fermionic field theories
• Fluctuating vector mesons in analytically continued FRG flow equations
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• Self-consistent $O(4)$ model spectral functions from analytically continued FRG flows
• The Spectral Geometry of de Sitter Space in Asymptotic Safety
• Regulator scheme dependence of the chiral phase transition at high densities
• Thermalization and dynamical spectral properties in the quark-meson model
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• Conserved and non-conserved Noether currents from the quantum effective action
• Quasi-particle functional Renormalisation Group calculations in the two-dimensional half-filled Hubbard model at finite temperatures
• Spectral functions from the functional renormalization group at finite temperature and density
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• Non-Perturbative $S$-matrix Renormalization