Finite density simulations using a determinant estimator

TL;DR

This paper introduces a Hybrid Noisy Monte Carlo algorithm that uses a determinant estimator for simulating finite density QCD, enabling larger lattice volumes than previous exact methods.

Contribution

The paper presents a novel determinant estimator-based algorithm for finite density QCD simulations, allowing larger lattice sizes and addressing computational challenges.

Findings

The estimator provides accurate results consistent with previous exact calculations.

The new algorithm enables simulations on larger lattices.

Discussion of challenges in scaling to bigger volumes.

Abstract

Previous investigations have shown that the canonical approach to simulating QCD at finite density is promising. The algorithm we used in our earlier work employs an exact calculation of the fermionic determinant which limits the size of the lattices we can simulate. Interesting questions can only be answered if we simulate at larger volume. In this paper we explore an algorithm, Hybrid Noisy Monte Carlo, that employs a determinant estimator rather than an exact calculation. We first present the technical aspects of the estimator, check that the algorithm is correct by comparing it with our previous study, and then discuss its merits. We will also discuss the challenges faced when simulating larger lattice volumes.