Renormalizing open quantum field theories

TL;DR

This paper investigates the non-perturbative renormalization group flow of scalar quantum field theories with a sharp momentum cutoff, emphasizing the importance of UV-IR entanglement and open interaction channels in Minkowski space.

Contribution

It introduces a framework for analyzing open quantum field theories with a sharp cutoff, highlighting the role of entanglement between UV and IR modes in non-perturbative regimes.

Findings

Non-perturbative UV-IR entanglement observed in models

Open interaction channels are crucial in cutoff-based QFT

Renormalization group flow characterized in Minkowski space

Abstract

The functional renormalization group flow of a scalar field theory with quartic couplings and a sharp spatial momentum cutoff is presented in four-dimensional Minkowski space-time for the bare action by retaining the entanglement of the IR and the UV particle modes. It is argued that the open interaction channels have to be taken into account in quantum field theory defined by the help of a cutoff, and a non-perturbative UV-IR entanglement is found in closed or almost closed models.