Renormalization group equations in resonance chiral theory

J. J. Sanz-Cillero

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18 Citations (Scopus)

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. © 2009 Elsevier B.V. All rights reserved.
Original languageEnglish
Pages (from-to)100-104
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume681
Issue number1
DOIs
Publication statusPublished - 19 Oct 2009

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