# Reweighting Lefschetz Thimbles

## TL;DR

This paper introduces a new reweighting method for calculating relative weights in Lefschetz thimble decompositions, tested on a $U(1)$ model relevant to gauge theories at finite density.

## Contribution

The paper proposes a novel reweighting technique for Lefschetz thimbles, advancing computational methods for complex path integrals in gauge theories.

## Key findings

- Successfully applied to a $U(1)$ one-link model
- Demonstrates potential for realistic gauge theories with fermions
- Discusses future challenges and improvements

## Abstract

We present a novel reweighting technique to calculate the relative weights in the Lefschetz thimble decomposition of a path integral. Our method is put to work using a $U(1)$ one-link model providing for a suitable testing ground and sharing many features with realistic gauge theories with fermions at finite density. We discuss prospects and future challenges to our method.