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On the structure of two-point Green-functions at next-to-leading order in

2007/02/21 by Juan José Sanz-Cillero, J. J. Sanz-Cillero · 7 citations
Mathematics · Physics and Astronomy · #Action (physics) #Algebra over a field #Algorithm #Computation #Geometry #Hadron #High-Energy Particle Collisions Research #Limit (mathematics) #Mathematical analysis #Mathematics #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #Point (geometry) #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Realization (probability) #Resonance (particle physics) #Theoretical physics #hep-ph #hep-th

paper · pdf · doi:10.1016/j.physletb.2007.03.017

published in Physics Letters B 649(2-3), 180-185 (Elsevier BV) · 6 pages, 1 figure

arxiv created 2007/02/21 · openalex publication_date 2007/03/15 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The structure of the two-point QCD Green-functions is studied in this note in the limit of large number of colours. Their general form at next-to-leading order in 1/Nc is derived keeping the infinite resonance summation and without relying on a particular realization of the hadronic action. It is found that the contributions from chiral operators without resonance fields of order p4 or higher are irrelevant for the computation of the correlators and, hence, they can be dropped at the beginning of the calculation. The possibility of a more general cancelation of these local terms at the level of the generating functional is discussed.

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