Inverse problems, real-time dynamics and lattice simulations

TL;DR

This paper discusses recent advances in solving the inverse problem in lattice QCD to understand real-time dynamics of strongly coupled quantum fields, and explores progress in direct real-time simulations.

Contribution

It presents new methods for addressing the inverse problem in lattice QCD and reports progress in direct simulation techniques for real-time quantum field dynamics.

Findings

Improved algorithms for inverse problem solving in lattice QCD

Initial successful simulations of real-time dynamics

Enhanced understanding of non-perturbative quantum field behavior

Abstract

The determination of real-time dynamics of strongly coupled quantum fields is a central goal of modern nuclear and particle physics, which requires insight into quantum field theory beyond the weak-coupling approximation. While lattice QCD has provided vital insights into the non-perturbative static properties of quarks and gluons it hides their real-time dynamics behind an ill-posed inverse problem. In this proceeding I will discuss developments in tackling the inverse problem on the lattice and touch upon progress in the direct simualtion of real-time dynamics.