English

Scalar spectral functions from the spectral fRG

High Energy Physics - Theory 2023-03-30 v1 High Energy Physics - Phenomenology

Abstract

We compute non-perturbative spectral functions in a scalar ϕ4\phi^4-theory in three spacetime dimensions via the spectral functional renormalisation group. This approach allows for the direct, manifestly Lorentz covariant computation of correlation functions in Minkowski spacetime, including a physical on-shell renormalisation. We present numerical results for the spectral functions of the two- and four-point correlation functions for different values of the coupling parameter. These results agree very well with those obtained from another functional real-time approach, the spectral Dyson-Schwinger equation.

Keywords

Cite

@article{arxiv.2303.16719,
  title  = {Scalar spectral functions from the spectral fRG},
  author = {Jan Horak and Friederike Ihssen and Jan M. Pawlowski and Jonas Wessely and Nicolas Wink},
  journal= {arXiv preprint arXiv:2303.16719},
  year   = {2023}
}

Comments

22 pages, 13 figures

R2 v1 2026-06-28T09:39:58.746Z