1996/09/04 by Matthias Burkardt, M. Burkardt, H. El-Khozondar +1 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Chromodynamics and Particle Interactions #Quantum, superfluid, helium dynamics #hep-ph
paper · pdf · doi:10.1103/physrevd.55.6514
published as Phys.Rev. D55 (1997) 6514-6521 · 6 pages, REVTEX
arxiv created 1996/09/04 · openalex publication_date 1997/05/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We investigate a (3+1)-dimensional toy model that exhibits spontaneous breakdown of chiral symmetry, both in a light-front (LF) Hamiltonian and in a Euclidean Schwinger-Dyson (SD) formulation. We show that both formulations are completely equivalent, provided the renormalization is properly done. The counterterm can be constructed explicitly by eliminating zero-mode degrees of freedom, giving rise to to an effective interaction: i.e., zero-mode dynamics, in the sense of an effective action, leads to a very simple set of modifications for the nonzero modes. We find that it is sufficient to renormalize terms that exist already in the canonical LF Hamiltonian independently. Chiral symmetry breaking is manifested via a ``kinetic mass'' counterterm, which is eventually responsible for the mass generation of the physical fermion of the model. The vertex mass in the LF calculation must be taken to be the same as the current quark mass in the SD calculation.