Quantum Fields on the Light Front, Formulation in Coordinates close to the Light Front, Lattice Approximation

Abstract

We review the fundamental ideas of quantizing a theory on a Light Front including the Hamiltonian approach to the problem of bound states on the Light Front and the limiting transition from formulating a theory in Lorentzian coordinates (where the quantization occurs on spacelike hyperplanes) to the theory on the Light Front, which demonstrates the equivalence of these variants of the theory. We describe attempts to find such a form of the limiting transition for gauge theories on the Wilson lattice.

LaTeX 2e, 14 pages

References in corpus (6)

• Quantum Chromodynamics and Other Field Theories on the Light Cone
• Nonperturbative Light-Front QCD
• Comparison of quantum field perturbation theory for the light front with the theory in lorentz coordinates
• Effective light front quantization of scalar field theories and two-dimensional electrodynamics
• Calculation of the Mass Spectrum of QED-2 in Light-Front Coordinates
• Spontaneously broken quark helicity symmetry

Cited by in corpus (6)

• Formulating Light Cone QCD on the Lattice
• Noncommutativity from spectral flow
• Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization
• Construction of Perturbatively Correct Light Front Hamiltonian for (2+1)-Dimensional Gauge Theory
• Pauli-Villars Regularization in nonperturbative Hamiltonian approach on the Light Front
• Noncommutativity and the lightfront