2020/09/09 by Sven Huelsmann, S. Huelsmann, Sören Schlichting +2
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Formalism (music) #Functional renormalization group #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Non-perturbative #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum gravity #Quantum mechanics #Recurrence relation #Renormalization #Renormalization group #Scalar (mathematics) #Scalar field #Scalar field theory #Statistical physics #Truncation (statistics) #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.102.096004
published as Phys. Rev. D 102, 096004 (2020) · 40 pages + 16 pages appendix, 8 figures
arxiv created 2020/09/09 · openalex publication_date 2020/11/09 · arxiv updated 2020/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We employ the functional renormalization group approach formulated on the Schwinger-Keldysh contour to calculate real-time correlation functions in scalar field theories. We provide a detailed description of the formalism, discuss suitable truncation schemes for real-time calculations, as well as the numerical procedure to self-consistently solve the flow equations for the spectral function. Subsequently, we discuss the relations to other perturbative and nonperturbative approaches to calculate spectral functions and present a detailed comparison and benchmark in d=0+1 dimensions.