Work

Real time simulations of scalar fields with kernelled complex Langevin equation

Year: 2025

Type: conference-paper

Abstract: Real time evolution of a scalar field theory is investigated. The severe sign problem is circumvented using the Complex Langevin equation. The naive application of the method breaks down for extended real times due to the appearance of boundary terms. We use the kernel freedom of the complex Langevin equation to push the breakdown to larger real-times. We search for the optimal kernel using machine learning methods. Thus, we extend the available range for 1+1d scalar simulations beyond the state of the art simulations.

Source: International Symposium on Lattice Field Theory (LATTICE)

DOI: 10.22323/1.466.0073

Authors: Denes Sexty, Alexander Rothkopf, Daniel Alvestad

Institution: University of Stavanger

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Austrian Science Fund, Norges Forskningsråd, Karl-Franzens-Universität Graz

Awards: G2230720350, Using the Complex Langevin Eqn. to solve the Sign Problem, G5056796368