Spectral functions from the real-time functional renormalization group
S. Huelsmann, Sören Schlichting, Philipp Scior
Abstract
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.
Topics & Concepts
Truncation (statistics)Formalism (music)Renormalization groupScalar (mathematics)Mathematical physicsFunctional renormalization groupScalar field theoryMathematicsRecurrence relationRenormalizationScalar fieldStatistical physicsApplied mathematicsNon-perturbativePhysicsMathematical analysisQuantum mechanicsQuantum gravityGeometryStatisticsArtMusicalQuantumVisual artsBlack Holes and Theoretical PhysicsParticle physics theoretical and experimental studiesQuantum Chromodynamics and Particle Interactions