Renormalization of Hamiltonians in the Light-Front Fock Space

Abstract

We outline an ultraviolet renormalization procedure for hamiltonians acting in the light-front Fock space. The hamiltonians are defined and calculated using creation and annihilation operators with no limitation of the space of states. Both, the regularization of the initial hamiltonian and the definition of the renormalized effective hamiltonians, preserve the light-front frame kinematical symmetries. The general equations for the effective hamiltonians are illustrated by second order calculations of the self-energy and two-particle interaction terms in Yukawa theory, QED and QCD. Infrared singularities are regulated but not renormalized.

arXiv commentplain LaTeX file, 81 pages

References in corpus (2)

• Asymptotic Freedom and Bound States in Hamiltonian Dynamics
• A Simple Confinement Mechanism for Light-Front Quantum Chromodynamics

Cited by in corpus (4)

• Asymptotic Freedom and Bound States in Hamiltonian Dynamics
• Renormalized Light Front Hamiltonian in the Pauli-Villars Regularization
• Pauli-Villars Regularization and Light Front Hamiltonian in (2+1)-dimensional Yang-Mills Theory
• Pauli-Villars Regularization in nonperturbative Hamiltonian approach on the Light Front