1998/06/08 by Jerzy A. Przeszowski, Przeszowski, Jerzy A.
Physics and Astronomy · #Atomic and Molecular Physics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9806063
79 pages, LateX 2.09
arxiv created 1998/06/08 · openalex publication_date 1998/06/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We report here the status of different gauge conditions in the canonical formulation of quantum electrodynamics on light-front surfaces. We start with the massive vector fields as pedagogical models where all basic concepts and possible problems manifestly appear. Several gauge choices are considered for both the infinite and the finite volume formulation of massless gauge field electrodynamics. We obtain the perturbative Feynman rules in the first approach and the quantum Hamiltonian for all sectors in the second approach. Different space-time dimensions are discussed in all models where they crucially change the physical meaning. Generally, fermions are considered as the charged matter fields but also one simple 1+1 dimensional model is discussed for scalar fields. Finally the perspectives for further research projects are discussed.