QCD_3 Vacum Wave Function

TL;DR

This paper studies the vacuum wave function of 2+1 dimensional quantum chromodynamics using Hamiltonian lattice methods, revealing insights into confinement and demonstrating good scaling in estimations.

Contribution

It introduces a truncated eigenvalue equation approach to evaluate the vacuum wave function in QCD_3, providing new insights into its structure and confinement.

Findings

Vacuum wave function evaluated with truncated eigenvalue method

Good scaling observed in third order estimations

Insights into confinement phenomena in QCD_3

Abstract

We investigate quantum chromodynamics in 2+1 dimensions ($\rm{QCD}_3$) using the Hamiltonian lattice field theory approach. The long wavelength structure of the ground state, which is closely related to the confinement phenomenon, is analyzed and its vacuum wave function is evaluated by means of the recently developed truncated eigenvalue equation method. The third order estimations show nice scaling for the physical quantities.