Renormalization group equations in resonance chiral theory

Understand

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.