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Renormalization of Hamiltonians in the Light-Front Fock Space

1997/06/29 by Stanislaw D. Glazek, Stanisław D. Głazek, Glazek, Stanislaw D.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9706212

plain LaTeX file, 81 pages

arxiv created 1997/06/29 · openalex publication_date 1997/06/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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