Basis States for Hamiltonian QCD with Dynamical Quarks

TL;DR

This paper develops a basis for Hamiltonian lattice QCD including dynamical quarks, enabling more comprehensive calculations by extending previous pure gauge approaches.

Contribution

It introduces a new basis incorporating dynamical quark pairs for Hamiltonian lattice QCD, expanding the tools for full QCD simulations.

Findings

Constructed basis states with dynamical quark pairs.

Calculated matrix elements of QCD Hamiltonian operators.

Extended previous harmonic oscillator basis to full QCD.

Abstract

We discuss the construction of basis states for Hamiltonian QCD on the lattice, in particular states with dynamical quark pairs. We calculate the matrix elements of the operators in the QCD Hamiltonian between these states. Along with the ``harmonic oscillator'' states introduced in previous pure SU(3) work, these states form a working basis for calculations in full QCD.