2012/04/15 by V. A. Karmanov, J.-F. Mathiot, J. -F. Mathiot +2 · 37 citations
Physics and Astronomy · #Atomic and Subatomic Physics Research #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Covariant transformation #Fock space #Observable #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Regularization (linguistics) #Renormalization #Renormalization group #Theoretical physics #Yukawa potential #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.86.085006
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 86(8) (American Physical Society) · 22 pages, 16 figures
arxiv created 2012/04/15 · openalex publication_date 2012/10/01 · arxiv updated 2015/06/04 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We present a coherent and operational strategy to calculate in a nonperturbative way, physical observables in light-front dynamics. This strategy is based on the decomposition of the state vector of any compound system in Fock components, and on the covariant formulation of light-front dynamics, together with the so-called Fock sector dependent renormalization scheme. We apply our approach to the calculation of the electromagnetic form factors of a fermion in the Yukawa model, in the nontrivial three-body Fock space truncation, for rather large values of the coupling constant. We find that once the renormalization conditions are properly taken into account, the form factors do not depend---within our numerical accuracy---on the regularization scale when the latter is much larger than the physical masses. We then extend the Fock space by including antifermion degrees of freedom.