2009/04/30 by L. Ya. Glozman, A. V. Nefediev
Physics and Astronomy · #Black Holes and Theoretical Physics #Content (measure theory) #Hadron #Mathematical physics #Meson #Operator product expansion #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Unitarity #hep-lat #hep-ph #hep-th #nucl-th
paper · pdf · doi:10.1103/physrevd.80.057901
published as Phys.Rev.D80:057901,2009 · 4 pp. The title has been changed. Implications for OPE and holographic description of mesons have been added. To appear in PRD
arxiv created 2009/09/04 · openalex publication_date 2009/09/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We perform a general chiral symmetry and unitarity based analysis of a local process of the fermion-antifermion creation from the vacuum by a high-energy photon as well as an explicit partial wave analysis of the vector current in QED and QCD. Such a local process proceeds necessarily via a certain superposition of the S- and D-wave contributions. These constraints are consistent with the well-known theoretical and experimental results on e+e^\ensuremath-\ensuremath→\ensuremathγ\ensuremath→\ensuremathμ+\ensuremathμ^\ensuremath-. Then a free quark loop in the 1-- channel, representing the leading term in the operator product expansion, contains both S-wave and D-wave contributions. This fact rules out the possibility that there is only one radial trajectory for the \ensuremathρ-mesons with the fixed S-wave content. It also implies that all holographic models that assume a pure S-wave content of the \ensuremathρ-meson have to fail to satisfy the matching conditions at the ultraviolet border z=0.