Multipoint reweighting method and its applications to lattice QCD

TL;DR

This paper introduces a multipoint reweighting method to improve lattice QCD simulations, addressing the overlap problem, and demonstrates its effectiveness in calculating physical quantities across parameter ranges.

Contribution

The paper develops and systematically evaluates a multipoint reweighting technique for lattice QCD, extending the applicability of reweighting methods to broader parameter regions.

Findings

Successfully applied to calculate meson masses as functions of simulation parameters.

Determined lines of constant physics and beta functions for finite temperature studies.

Addressed the overlap problem in reweighting methods.

Abstract

The reweighting method is widely used in numerical studies of QCD, in particular, for the cases in which the conventional Monte-Carlo method cannot be applied directly, e.g., finite density QCD. However, the application range of the reweighing method is restricted due to several problems. One of the most severe problems here is the overlap problem. To solve it, we examine a multipoint reweighting method in which simulations at several simulation points are combined in the data analyses. We systematically study the applicability and limitation of the multipoint reweighting method in two-flavor QCD at zero density. Measuring histograms of physical quantities at a series of simulation points, we apply the multipoint reweighting method to calculate the meson masses as continuous functions of the gauge coupling $\beta$ and the hopping parameters $\kappa$. We then determine lines of constant physics and beta functions, which are needed in a calculation of the equation of state at finite temperature.