Using Approximating Polynomials in Partial-Global Dynamical Simulations

TL;DR

This paper explores how polynomial approximations can optimize the simulation of smeared link fermionic actions by improving the efficiency of partial-global updating methods.

Contribution

It introduces methods for determining the optimal polynomials to enhance the efficiency of fermionic matrix simulations in lattice gauge theories.

Findings

Polynomial approximations improve simulation efficiency

Optimal polynomial determination methods are proposed

Enhanced partial-global updating performance

Abstract

Smeared link fermionic actions can be straightforwardly simulated with partial-global updating. The efficiency of this simulation is greatly increased if the fermionic matrix is written as a product of several near-identical terms. Such a break-up can be achieved using polynomial approximations for the fermionic matrix. In this paper we will focus on methods of determining the optimum polynomials.