Formulating Light Cone QCD on the Lattice

Abstract

We present the near light cone Hamiltonian $H$ in lattice QCD depending on the parameter $\eta$, which gives the distance to the light cone. Since the vacuum has zero momentum we can derive an effective Hamiltonian $H_{eff}$ from $H$ which is only quadratic in the momenta and therefore solvable by standard methods. An approximate ground state wave functional is determined variationally in the limit $\eta \to 0$.

48 pages, 8 figures

References in corpus (15)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Variational solution of the Yang-Mills Schrödinger equation in Coulomb gauge
• Transverse lattice calculation of the pion light-cone wavefunctions
• The Relativistic Bound State Problem in QCD: Transverse Lattice Methods
• Solving Pure Yang Mills in 2+1 Dimensions
• Effective light front quantization of scalar field theories and two-dimensional electrodynamics
• Scattering of color dipoles: from low to high energies
• Statistical Physics and Light-Front Quantization
• QCD near the Light Cone
• Large N QCD at High Energies as Two-Dimensional Field Theory
• Quantum Fields on the Light Front, Formulation in Coordinates close to the Light Front, Lattice Approximation
• Transverse QCD Dynamics Near the Light Cone
• Chiral Symmetry in Light-Cone Field Theory
• Green's Function Monte Carlo study of SU(3) lattice gauge theory in (3+1)D
• Wave functions for Hamiltonian Lattice Gauge Theory

Cited by in corpus (7)

• Hamiltonian light-front field theory in a basis function approach
• Hamiltonian Light-Front Field Theory: Recent Progress and Tantalizing Prospects
• Hamiltonian light-front field theory within an AdS/QCD basis
• Gluon Structure Function of a Color Dipole in the Light-Cone Limit of Lattice QCD
• Hamiltonian Lattice QCD near the Light Cone
• A New Approach to the Gluon Structure Function
• Gauge invariant regularization of QCD on the Light Front with the lattice in transverse space coordinates