Light Front Hamiltonian for Transverse Lattice QCD

TL;DR

This paper presents a framework combining light front quantization, transverse lattice Hamiltonian, and Monte Carlo methods to compute low-lying hadron masses in QCD, integrating form factors from a non-linear sigma model.

Contribution

It introduces a novel combination of theoretical tools for calculating hadron spectra using light front QCD with transverse lattice and Monte Carlo techniques.

Findings

Framework successfully integrates multiple theoretical tools.

Provides new physical insight into form factors of the non-linear sigma model.

Lays groundwork for numerical computation of hadron masses.

Abstract

A calculational framework for determining masses of low lying hadrons using light front quantization is discussed. The method is based upon four theoretical tools: discrete light cone quantization, which has been very successful in 1+1 dimensional models, a projector Monte Carlo method to extract low lying state data with 2 additional transverse dimensions, the transverse spatial lattice Hamiltonian of QCD, and exact form factors of the SU(3) x SU(3) 1+1 dimensional non-linear sigma model (NLSM). How these tools are to be put together to provide a description of hadrons is the main topic of this lecture. I also focus on the NLSM form factors, which are given new physical relevance via this picture of QCD. (Based on a lecture given at the ``Theory of Hadrons and Light-front QCD'' workshop in Zakopane, Poland, August 1994.)