A renormalizable effective theory for leading logarithms in ChPT

Abstract

We argue that the linear sigma model at small external momenta is an effective theory for the leading logarithms of chiral perturbation theory. Based on this assumption an attempt is made to sum these leading logarithms using the standard renormalization group techniques, which are valid in renormalizable quantum field theories.

9 pages, 4 figures

References in corpus (4)

• Pion-pion scattering at low energy
• Renormalization group equations for effective field theories
• Closed-Form Summation of RG-Accessible Logarithmic Contributions to Semileptonic B-Decays and Other Perturbative Processes
• Chiral logarithms to five loops

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