2020/06/17 by Jan Horak, Jan M. Pawlowski, Nicolas Wink
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Geometry #Homogeneous space #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Renormalization #Renormalization group #Scalar (mathematics) #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.102.125016
published as Phys. Rev. D 102, 125016 (2020) · 22 pages, 15 figures
arxiv created 2020/06/17 · openalex created_date 2020/06/25 · openalex publication_date 2020/12/07 · arxiv updated 2021/01/04 · openalex updated_date 2026/08/06
We develop a nonperturbative functional framework for computing real-time correlation functions in strongly correlated systems. The framework is based on the spectral representation of correlation functions and dimensional regularization. Therefore, the nonperturbative spectral renormalization setup here respects all symmetries of the theories at hand. In particular, this includes space-time symmetries, as well as internal symmetries such as chiral symmetry, and gauge symmetries. Spectral renormalization can be applied within general functional approaches such as the functional renormalization group, Dyson-Schwinger equations, and two- or n-particle irreducible approaches. As an application, we compute the full, nonperturbative, spectral function of the scalar field in the \ensuremathφ4-theory in 2+1 dimensions from spectral Dyson-Schwinger equations. We also compute the s-channel spectral function of the full \ensuremathφ4-vertex in this theory.