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 (33)

• Electroweak corrections to charged-current e+e- --> 4 fermion processes - technical details and further results
• Axial structure of the nucleon
• Predictions for all processes e^+e^- -> 4 fermions + gamma
• Renormalization of relativistic baryon chiral perturbation theory and power counting
• Chiral Perturbation Theory and Baryon Properties
• Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
• The complex-mass scheme for perturbative calculations with unstable particles
• 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
• Matching Heavy Particle Approach to Relativistic Theory
• Physical Nucleon Properties from Lattice QCD
• Low energy analysis of pi N --> pi N
• Chiral Perturbation Theory Beyond One Loop
• Nucleon mass, sigma term and lattice QCD
• 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
• Chiral Behaviour of the Rho Meson in Lattice QCD
• 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
• In Search of the Chiral Regime
• Complex-mass renormalization in chiral effective field theory
• On the absence of fifth-order contributions to the nucleon mass in heavy-baryon chiral perturbation theory
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• Chiral expansion of the nucleon mass to order q^6
• Infrared renormalization of two-loop integrals and the chiral expansion of the nucleon mass
• Mass and width of the Roper resonance using complex-mass renormalization
• Infrared and extended on-mass-shell renormalization of two-loop diagrams
• Pion electroproduction, PCAC, chiral Ward identities, and the axial form factor revisited
• Probing the convergence of perturbative series in baryon chiral perturbation theory
• Structure of the nucleon in chiral perturbation theory