Quantum Interactions Between Non-Perturbative Vacuum Fields

TL;DR

This paper introduces a novel approach to study non-perturbative quantum field dynamics by focusing on specific vacuum fluctuations as dynamical variables, enabling both perturbative and non-perturbative computations.

Contribution

It presents a new method that treats certain vacuum field fluctuations as dynamical, allowing all orders in coupling and avoiding semi-classical approximations.

Findings

Effective interactions computed perturbatively and non-perturbatively.

Method applicable to all orders in coupling.

Framework does not rely on semi-classical approximation.

Abstract

We develop an approach to investigate the non-perturbative dynamics of quantum field theories, in which specific vacuum field fluctuations are treated as the low-energy dynamical degrees of freedom, while all other vacuum field configurations are explicitly integrated out from the path integral. We show how to compute the effective interaction between the vacuum field degrees of freedom both perturbatively (using stochastic perturbation theory) and fully non-perturbatively (using lattice field theory simulations). The present approach holds to all orders in the couplings and does not rely on the semi-classical approximation.