2011/12/31 by Stefan Floerchinger · 5 citations
Physics and Astronomy · #Analytic continuation #Black Holes and Theoretical Physics #Homogeneous space #Lorentz transformation #Minkowski space #Noncommutative and Quantum Gravity Theories #Propagator #Quantum and Classical Electrodynamics #Renormalization #Renormalization group #Scalar (mathematics) #Scalar field theory #cond-mat.quant-gas #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1007/jhep05(2012)021
published as JHEP 05, 021 (2012) · 32 pages, 5 figures, published version
openalex publication_date 2012/05/01 · arxiv created 2012/08/17 · arxiv updated 2012/08/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A bstract 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.