Simulating lattice field theories on multiple thimbles

TL;DR

This paper discusses the challenges and solutions for simulating lattice field theories using thimble regularization when multiple thimbles are involved, with insights from 0+1 dimensional QCD.

Contribution

It introduces an effective method for handling multiple thimbles in lattice field theory simulations, building on previous solutions and lessons learned from QCD.

Findings

Solution proved effective in 0+1 dimensional QCD

Insights on symmetries and algorithmic strategies

Guidelines for multi-thimble simulations

Abstract

Simulating thimble regularization of lattice field theory can be tricky when more than one thimble is to be taken into account. A couple of years ago we proposed a solution for this problem. More recently this solution proved to be effective in the case of 0+1 dimensional QCD. A few lessons we can learnt, including the role of symmetries and general hints on algorithmic solutions.