Least-Squared Optimized Polynomials for Smeared Link Actions

TL;DR

This paper presents a numerical method for generating high-order polynomials to improve fermionic calculations with smeared link actions, enhancing stability and enabling simulations at physical quark masses.

Contribution

It introduces a stable, optimized polynomial generation technique tailored for fermionic calculations with smeared link actions, achieving very high approximation orders.

Findings

Achieves polynomial approximation orders of several thousands.

Enables fermionic calculations with Hypercubic Smeared Link action at physical quark masses.

Optimizes weight function and discretization for stability and accuracy.

Abstract

We introduce a numerical method for generating the approximating polynomials used in fermionic calculations with smeared link actions. We investigate the stability of the algorithm and determine the optimal weight function and the optimal type of discretization. The achievable order of polynomial approximation reaches several thousands allowing fermionic calculations using the Hypercubic Smeared Link action even with physical quark masses.