The basics and applications of the tempered Lefschetz thimble method for the numerical sign problem

TL;DR

The paper discusses the tempered Lefschetz thimble method (TLTM) and its extension as promising approaches to overcoming the numerical sign problem in physics calculations, enhancing trustability and versatility.

Contribution

It introduces the TLTM and WV-TLTM algorithms as novel solutions to the longstanding numerical sign problem in physics.

Findings

TLTM and WV-TLTM show promise in addressing the sign problem.

These methods improve trustability in complex physics simulations.

The approaches are versatile across different physics applications.

Abstract

The numerical sign problem has long been a major obstacle to first-principles calculations in various important fields of physics. We report that the recently proposed algorithm, tempered Lefschetz thimble method (TLTM), and its worldvolume extension (WV-TLTM) can be a promising solution in its trustability and versatility.