Spectral functions from the real-time functional renormalization group

S. Huelsmann (Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany) ; S. Schlichting (Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany) ; P. Scior (Fakultät für Physik, Universität Bielefeld, D-33615 Bielefeld, Germany)

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.

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Published on:
09 November 2020
Publisher:
APS
Published in:
Physical Review D , Volume 102 (2020)
Issue 9
DOI:
https://doi.org/10.1103/PhysRevD.102.096004
arXiv:
2009.04194
Copyrights:
Published by the American Physical Society
Licence:
CC-BY-4.0

Fulltext files: