Recent developments in effective field theory

Abstract

We will give a short introduction to the one-nucleon sector of chiral perturbation theory and will address the issue of a consistent power counting and renormalization. We will 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 O(q^6) and the inclusion of vector and axial-vector mesons in the calculation of nucleon form factors.

8 pages, 6 figures, invited talk given at International School of Nuclear Physics, 29th Course "Quarks in Hadrons and Nuclei", Erice, Sicily, 16 - 24 September 2007

References in corpus (17)

• Axial structure of the nucleon
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• Low energy analysis of the nucleon electromagnetic form factors
• A Coherent Interpretation of the Form Factors of the Nucleon in Terms of a Pion Cloud and Constituent Quarks
• Chiral Perturbation Theory Beyond One Loop
• Induced pseudoscalar coupling of the proton weak interaction
• Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
• Including the $\Delta (1232)$ resonance in baryon chiral perturbation theory
• Infrared regularization of baryon chiral perturbation theory reformulated
• Electromagnetic form factors of the nucleon in chiral perturbation theory including vector mesons
• Electromagnetic form factors of the nucleon in relativistic baryon chiral perturbation theory
• Power counting in baryon chiral perturbation theory including vector mesons
• On the absence of fifth-order contributions to the nucleon mass in heavy-baryon chiral perturbation theory
• Chiral expansion of the nucleon mass to order q^6
• Infrared and extended on-mass-shell renormalization of two-loop diagrams
• Pion electroproduction, PCAC, chiral Ward identities, and the axial form factor revisited