Dynamical Fermions in Hamiltonian Lattice Gauge Theory

TL;DR

This paper explores the inclusion of dynamical fermions in Hamiltonian lattice gauge theory, using compact QED3 as a test case to study phenomena like confinement and chiral symmetry breaking.

Contribution

It presents a novel approach to incorporate dynamical fermions in Hamiltonian lattice gauge theory and provides initial data on chiral condensate in QED3.

Findings

Data on chiral condensate in QED3

Evidence of confinement and chiral symmetry breaking

Methodological framework for dynamical fermions

Abstract

We describe a first attempt to understand dynamical fermions within a Hamiltonian framework. As a testing ground we study compact QED3 which shares some important features of QCD4 such as confinement, glueballs, mesons, and chiral symmetry breaking. We discuss the methods used and show data for the chiral condensate.