2014/09/30 by Yu. A. Simonov · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Eigenvalues and eigenvectors #Hamiltonian (control theory) #Lorentz transformation #Mathematical physics #Meson #Particle physics #Particle physics theoretical and experimental studies #Path integral formulation #Physics #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Wave function #hep-ph
paper · pdf · doi:10.1103/physrevd.91.065001
published as Phys. Rev. D 91, 065001 (2015) · 23 pages,one figure,misprints corrected
arxiv created 2014/10/27 · openalex publication_date 2015/03/03 · arxiv updated 2015/05/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Wave functions and energy eigenvalues of the path integral Hamiltonian are studied in the Lorentz frame moving with velocity v. The instantaneous interaction produced by the Wilson loop is shown to be reduced by an overall factor √1\ensuremath-((v)/(c))2. As a result, one obtains the boosted energy eigenvalues in the Lorentz covariant form E=√P2+M02, where M0 is the c.m. energy, and this form is tested for two free particles and for the Coulomb and linear interaction. Using Lorentz-contracted wave functions of the bound states, one obtains the scaled-parton wave functions and valence quark distributions for large P. Matrix elements containing wave functions moving with different velocities strongly decrease with growing relative momentum; e.g., for the timelike form factors, one obtains Fh(Q0)\ensuremath∼(\fracMhQ0)^2nh with nh=1 and 2 for mesons and baryons, as in the ``quark counting rule.''