Large-NcQCD and Pade approximant theory

2006/03/31 by Santiago Peris · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #hep-th #nucl-th

paper · pdf · doi:10.1103/physrevd.74.054013

published as Phys.Rev.D74:054013,2006 · 7 pages, 2 figures. Few comments added. Version published in journal

arxiv created 2006/09/04 · openalex publication_date 2006/09/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In the large-N_c limit of QCD, the expansion of the vacuum polarization at low energies determines the whole function at any arbitrarily large (but finite) energy. This result is an immediate consequence of the theory of Pade approximants to Stieltjes functions.

Citations

• The electroweak π+−π0 mass difference and weak matrix elements in the 1/Nc expansion
• Chiral perturbation theory: Expansions in the mass of the strange quark

Cited by

• Operator product expansion with analytic QCD inτdecay physics
• Relation between low-energy constants and resonance saturation
• Padé theory applied to the vacuum polarization of a heavy quark