Baryon chiral perturbation theory

Abstract

We provide a short introduction to the one-nucleon sector of chiral perturbation theory and address the issue of power counting and renormalization. We discuss the infrared regularization and the extended on-mass-shell scheme. Both allow for the inclusion of further degrees of freedom beyond pions and nucleons and the application to higher-loop calculations. As applications we consider the chiral expansion of the nucleon mass to order $\mathcal{O}(q^6)$ and the inclusion of vector and axial-vector mesons in the calculation of nucleon form factors. Finally, we address the complex-mass scheme for describing unstable particles in effective field theory.

13 pages, 8 figures, invited talk given at the Third International Conference on Hadron Physics, TROIA'11, 22 - 25 August 2011, Canakkale, Turkey

References in corpus (9)

• Chiral Perturbation Theory and Baryon Properties
• The complex-mass scheme for perturbative calculations with unstable particles
• Chiral Perturbation Theory Beyond One Loop
• Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
• Complex-mass renormalization in chiral effective field theory
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• Chiral expansion of the nucleon mass to order q^6
• Mass and width of the Roper resonance using complex-mass renormalization
• Probing the convergence of perturbative series in baryon chiral perturbation theory