2013/01/02 by Lei Chang, I. C. Cloet, Ian C. Cloët +7 · 8 citations
Physics and Astronomy · #Amplitude #Bethe–Salpeter equation #Chiral symmetry breaking #Covariant transformation #Hadron #High-Energy Particle Collisions Research #Mathematical physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum electrodynamics #Quantum mechanics #Quark #Spontaneous symmetry breaking #Symmetry breaking #Wave function #hep-lat #hep-ph #nucl-ex #nucl-th
paper · pdf · doi:10.1103/physrevlett.110.132001
5 pages, 2 figures, 1 table
arxiv created 2013/01/02 · openalex publication_date 2013/03/28 · arxiv updated 2015/06/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
We project onto the light front the pion's Poincar'e-covariant Bethe-Salpeter wave function obtained using two different approximations to the kernels of quantum chromodynamics' Dyson-Schwinger equations. At an hadronic scale, both computed results are concave and significantly broader than the asymptotic distribution amplitude, \ensuremathφ_\ensuremathπasy(x)=6x(1\ensuremath-x); e.g., the integral of \ensuremathφ_\ensuremathπ(x)/\ensuremathφ_\ensuremathπasy(x) is 1.8 using the simplest kernel and 1.5 with the more sophisticated kernel. Independent of the kernels, the emergent phenomenon of dynamical chiral-symmetry breaking is responsible for hardening the amplitude.