Flow equations for QED in light front dynamics

1997/10/31 by Elena Gubankova, E. L. Gubankova, Franz Wegner +1 · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th

paper · pdf · doi:10.1103/physrevd.58.025012

published as Phys.Rev. D58 (1998) 025012 · 15 pages, Latex, 3 pictures, Submitted to Phys.Rev.D

arxiv created 1998/02/01 · openalex publication_date 1998/06/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The method of flow equations is applied to QED on the light front. Requiring that the particle number conserving terms in the Hamiltonian are considered to be diagonal and the other terms off-diagonal an effective Hamiltonian is obtained which reduces the positronium problem to a two-particle problem, since the particle number violating contributions are eliminated. No infrared divergences appear. The ultraviolet renormalization can be performed simultaneously.

Citations

• Interaction of electrons with lattice vibrations
• Similarity renormalization of the electron‐phonon coupling
• Flow‐equations for Hamiltonians

Cited by

• RPA for light-front Hamiltonian field theory
• On the renormalization of Hamiltonians
• Flow equations and normal ordering: a survey
• Generalized Gell-Mann–Low theorem for relativistic bound states
• Renormalization of hamiltonian field theory; a non-perturbative and non-unitarity approach
• Mesons in(2+1)-dimensional light front QCD. II. Similarity renormalization approach