Pion-Pion Scattering in Chiral Perturbation and Dispersion Relation Theories

Abstract

Chiral perturbation theory, the low energy effective theory of the strong interactions for the light pseudoscalar degrees of freedom, is based on effective Lagrangian techniques and is an expansion in the powers of the external momenta and the powers of the quark masses, which correct the soft-pion theorems. Our primary emphasis will be on the problem of $\pi \pi$ scattering. After briefly reviewing these features and some results, we review some features of $\pi -N$ scattering.

arXiv commentInvited talk at the "Frontiers of Fundamental Physics" Symposium, B. M. Birla Science Centre, Hyderabad, India, December 30, 1998- January 1, 1999, Plain latex (to be run twice), 20 pages

References in corpus (11)

• Chiral Dynamics in Nucleons and Nuclei
• On the Foundations of Chiral Perturbation Theory
• Recent Developments in Chiral Perturbation Theory
• Elastic $\pi \pi$ scattering to two loops
• Extension of the Chiral Perturbation Theory Meson Lagrangian to Order $P^6$
• The Low Energy $\pi \pi$ Amplitude to One and Two Loops
• Determination of Two-Loop $\pi \pi$ Scattering Amplitude Parameters
• The Low Energy Expansion for Pion-Pion Scattering and Crossing Symmetry in Dispersion Relations
• Chiral two-loop pion-pion scattering parameters from crossing-symmetric constraints
• The Chiral Coupling Constants $\lb{1}$ and $\lb{2}$ from \pipi Phase Shifts
• Higher Threshold Parameters in pi pi Scattering

Cited by in corpus (2)

• Low Energy Pion-Pion Elastic Scattering in Sakai-Sugimoto Model
• $({\alpha }^{\prime }{)}^4$ Corrections in Holographic Large N_c QCD and $\pi -\pi$ Scattering