2009/05/31 by Juan José Sanz-Cillero, J. J. Sanz-Cillero · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computation #Equations of motion #Field (mathematics) #Field theory (psychology) #Fixed point #Group (periodic table) #Infrared fixed point #Mathematical analysis #Mathematical physics #Mathematics #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Pion #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Renormalization #Renormalization group #Resonance (particle physics) #hep-ph
paper · pdf · doi:10.1016/j.physletb.2009.09.044
published as Phys.Lett.B681:100-104,2009 · 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
openalex publication_date 2009/09/24 · arxiv created 2009/10/14 · arxiv updated 2010/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.