2017/12/31 by Gregory Gabadadze, Giorgi Tukhashvili · 3 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Computer science #Conformal map #Holography #Invariant (physics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Perturbation theory (quantum mechanics) #Perturbative QCD #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Relation (database) #Theoretical physics #hep-ph #hep-th
paper · pdf · open access · doi:10.1016/j.physletb.2018.05.024
published in Physics Letters B 782, 202-209 (Elsevier BV) · 16 latex pages, 4 figures; v2: comments and references added; a remark about Schwinger's paper corrected; to appear in PLB
openalex publication_date 2018/05/21 · arxiv created 2018/05/24 · arxiv updated 2018/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The Crewther–Broadhurst–Kataev (CBK) relation connects the Bjorken function for deep-inelastic sum rules (or the Gross–Llewellyn Smith function) with the Adler function for electron–positron annihilation in QCD; it has been checked to hold up to four loops in perturbation theory. Here we study non-perturbative terms in the CBK relation using a holographic dual theory that is believed to capture properties of QCD. We show that for the large invariant momenta the perturbative CBK relation is exactly satisfied. For the small momenta non-perturbative corrections enter the relation and we calculate their significant effects. We also give an exact holographic expression for the Bjorken function, as well as for the entire three-point axial-vector–vector correlation function, and check their consistency in the conformal limit.