Renormalization group equations in resonance chiral theory

Abstract

The use of the equations of motion and meson field redefinitions allows the development of a simplified resonance chiral theory lagrangian: terms including resonance fields and a large number of derivatives can be reduced into corresponding O(p2) resonance operators, containing the lowest possible number of derivatives. This is shown by means of the explicit computation of the pion vector form-factor up to next-to-leading order in 1/Nc. The study of the renormalization group equations for the corresponding couplings demonstrates the existence of an infrared fixed point in the resonance theory. The possibility of developing a perturbative 1/Nc expansion in the slow running region around the fixed point is shown here.

6 pages, 3 figures. Final version as published. References added. Extended explanations. The interrelation between the IR fixed point and the UV constraints has been further studied

References in corpus (3)

• Towards a consistent estimate of the chiral low-energy constants
• Pi pi scattering lengths at O(p^6) revisited
• Renormalizable Sectors in Resonance Chiral Theory: S -> pi pi Decay Amplitude

Cited by in corpus (16)

• Resonance chiral Lagrangian currents and tau decay Monte Carlo
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• Consistent high-energy constraints in the anomalous QCD sector
• Chiral dynamics predictions for eta' -> eta pi pi
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• Padé Approximants and Resonance Poles
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ decays as backgrounds in the search for second class currents
• Renormalization and additional degrees of freedom within the chiral effective theory for spin-1 resonances
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc
• Resonance effects in pion and kaon decay constants
• Renormalisation of the low-energy constants of chiral perturbation theory from loops with dynamical vector mesons
• OPE of Green Functions of Chiral Currents
• Refining the scalar and tensor contributions in $\tau \to \pi \pi \pi {\nu }_{\tau }$ decays
• On the three-point order parameters of chiral symmetry breaking
• Hadronic and radiative decays of the tau lepton
• Renormalization group equations in resonance chiral theory: the pi pi vector form-factor