2015/01/19 by H. G. Dosch, Hans Gunter Dosch, Guy F. de Téramond +2
Physics and Astronomy · #Baryon #Black Holes and Theoretical Physics #Conformal map #Conformal symmetry #Massless particle #Mathematical physics #Meson #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Supercharge #Superconformal algebra #Supersymmetry #hep-ph #hep-th
paper · pdf · doi:10.1103/physrevd.91.085016
published as Phys. Rev. D 91, 085016 (2015) · Previous work briefly discussed. New comments and references added. 31 pages, 3 figures
arxiv created 2015/01/19 · openalex publication_date 2015/04/10 · arxiv updated 2015/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct an effective QCD light-front Hamiltonian for both mesons and baryons in the chiral limit based on the generalized supercharges of a superconformal algebra. The superconformal construction is shown to be equivalent to a semiclassical approximation to light-front QCD and its embedding in anti--de Sitter space. The specific breaking of conformal invariance inside the superconformal algebra uniquely determines the effective confinement potential. The generalized supercharges connect the baryon and meson spectra to each other in a remarkable manner. In particular, the \ensuremathπ/b1 Regge trajectory is identified as the superpartner of the nucleon trajectory. However, the lowest-lying state on this trajectory, the \ensuremathπ-meson, is massless in the chiral limit and has no supersymmetric partner.