Chiral Perturbation Theory for Nuclear Physicists

Abstract

Chiral perturbation theory is the low energy effective theory of the strong interactions for the light pseudoscalar degrees of freedom. This program is based on effective Lagrangian techniques and is an expansion in the powers of the momenta and the powers of the quark masses, which correct the soft-pion theorems. After briefly reviewing these features and some results, we address the implications of this program to $\pi -N$ scattering, the $\pi -N$ sigma term and some recent investigations of the implications of chiral symmetry to nucleon-nucleon forces. We finally look at the implications of chiral perturbation theory to hadron mass relations.

20 pages plain LaTeX, to be run twice. Invited talk at the DAE Nuclear Physics Symposium - 1997, December 26-30, 1997, Bangalore, India

References in corpus (13)

• On the Foundations of Chiral Perturbation Theory
• Recent Developments in Chiral Perturbation Theory
• Chiral expansion of baryon masses and $\sigma$-terms
• 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
• Chiral Dynamics and Heavy-Fermion Formalism in Nuclei: I. Exchange Axial Currents
• Determination of Two-Loop $\pi \pi$ Scattering Amplitude Parameters
• Baryon Mass Splittings in Chiral Perturbation Theory
• Chiral two-loop pion-pion scattering parameters from crossing-symmetric constraints
• Higher Threshold Parameters in pi pi Scattering
• Chiral perturbation in dense matter and meson condensation controversy
• Implications of chiral symmetry for scalar isoscalar channel and multi- nucleon forces