Physics-informed operator flows and observables

TL;DR

This paper introduces physics-informed renormalisation group flows for operators, enabling comprehensive access to quantum field theory correlation functions and extending previous PIRG approaches.

Contribution

It develops a general operator PIRG framework that simplifies computations and offers structural insights for quantum field theories.

Findings

Operator PIRGs provide access to all correlation functions.

Applied to zero-dimensional ^4-theory with successful computation of generating functions.

Extends PIRG approach to general operators with structural and computational benefits.

Abstract

We discuss physics-informed renormalisation group flows (PIRGs) for general operators. We show that operator PIRGs provide a 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 $\phi^4$-theory for which the generating functions of the fundamental field are computed within a vertex expansion, using the one- to ten-point functions.