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Physics-informed operator flows and observables

Friederike Ihssen1,* and Jan M. Pawlowski1,2,†

  • 1Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany
  • 2ExtreMe Matter Institute EMMI, GSI, Planckstraße 1, 64291 Darmstadt, Germany

  • *Contact author: ihssen@thphys.uni-heidelberg.de
  • †Contact author: J.Pawlowski@thphys.uni-heidelberg.de
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Phys. Rev. D 113, 076003 – Published 3 April, 2026

DOI: https://doi.org/10.1103/zy96-jg9g

Abstract

We discuss physics-informed renormalization group flows (PIRGs) for general operators. We show that operator PIRGs provide comprehensive access to all correlation functions of the quantum field theory under investigation. The operator PIRGs can be seen as a completion of the PIRG approach, whose qualitative computational simplification and structural insights are now fully accessible for general applications. The potential of this setup is assessed within a simple analytic example of the zero-dimensional ϕ4-theory, for which the generating functions of the fundamental field are computed within a vertex expansion, using the one- to ten-point functions.

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Phys. Rev. D 113, 076003– Published 3 April, 2026
  • Received 19 September 2025
  • Accepted 12 March 2026
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