On the structure of two-point Green-functions at next-to-leading order in 1/Nc

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 p^4 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.

arXiv comment6 pages, 1 figure

References in corpus (8)

• Towards a consistent estimate of the chiral low-energy constants
• Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor
• Towards a determination of the chiral couplings at NLO in 1/N(C): L_8(mu) and C_38(mu)
• Hidden Local Symmetry at One Loop
• One-loop Renormalization of Resonance Chiral Theory: Scalar and Pseudoscalar Resonances
• Spin-1 Correlators at Large NC: Matching OPE and Resonance Theory up to O(alpha_s)
• The off-shell electromagnetic form factors of pions and kaons in chiral perturbation theory
• On the relation between low-energy constants and resonance saturation

Cited by in corpus (6)

• Oblique S and T Constraints on Electroweak Strongly-Coupled Models with a Light Higgs
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• One-Loop Calculation of the Oblique S Parameter in Higgsless Electroweak Models
• Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances
• Resonance saturation of the chiral couplings at NLO in 1/Nc
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc