On the discretization of physical momenta in lattice QCD

TL;DR

This paper explores a method to discretize physical momenta in lattice QCD using different boundary conditions, enabling the study of arbitrary relative momenta between particles despite finite volume constraints.

Contribution

It introduces a boundary condition approach that allows for arbitrary momentum transfer in lattice QCD simulations, validated through continuum limit checks of dispersion relations.

Findings

Successful discretization of physical momenta using boundary conditions

Validation of energy-momentum dispersion relations in the continuum limit

Enhanced ability to simulate particle interactions with arbitrary momenta

Abstract

The adoption of two distinct boundary conditions for two fermions species on a finite lattice allows to deal with arbitrary relative momentum between the two particle species, in spite of the momentum quantization rule due to a limited physical box size. We test the physical significance of this topological momentum by checking in the continuum limit the validity of the expected energy-momentum dispersion relations.