Lattice QCD and the Schwarz alternating procedure

TL;DR

This paper introduces a novel numerical simulation algorithm for lattice QCD that separates short- and long-distance effects of sea quarks, inspired by the classical Schwarz alternating procedure, with theoretical support for effectiveness at small quark masses.

Contribution

It presents a new quantum-level implementation of the Schwarz alternating procedure tailored for lattice QCD simulations, enhancing the treatment of sea quark effects.

Findings

The algorithm is theoretically promising for small quark masses.

It offers a new approach to separate effects in lattice QCD simulations.

Abstract

A numerical simulation algorithm for lattice QCD is described, in which the short- and long-distance effects of the sea quarks are treated separately. The algorithm can be regarded, to some extent, as an implementation at the quantum level of the classical Schwarz alternating procedure for the solution of elliptic partial differential equations. No numerical tests are reported here, but theoretical arguments suggest that the algorithm should work well also at small quark masses.