Structure of the nucleon in chiral perturbation theory

Abstract

We discuss a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. The method involves finite subtractions of dimensionally regularized diagrams beyond the standard modified minimal subtraction scheme of chiral perturbation theory to remove contributions violating the power counting. This is achieved by a suitable renormalization of the parameters of the most general effective Lagrangian. As applications we discuss the mass of the nucleon, the $\sigma$ term, and the scalar and electromagnetic form factors.

Invited talk given by S. Scherer at the Fourth International Conference on Perspectives in Hadronic Physics, Trieste, Italy, 12 -16 May 2003, 8 pages, 7 figures

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• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• Precise Neutron Magnetic Form Factors
• Low energy analysis of pi N --> pi N
• The anomalous chiral perturbation theory meson Lagrangian to order $p^6$ revisited
• Effective Field Theory Dimensional Regularization
• Regularization for effective field theory with two heavy particles

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• Light baryon magnetic moments and N -> Delta gamma transition in a Lorentz covariant chiral quark approach
• Semileptonic decays of the light J(P)=1/2(+) ground state baryon octet
• Baryon masses and nucleon sigma terms in manifestly Lorentz-invariant baryon chiral perturbation theory
• Probing the convergence of perturbative series in baryon chiral perturbation theory
• Gluonic Lorentz violation and chiral perturbation theory
• Chiral perturbation theory - Success and challenge
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• Dependence of nucleon properties on pseudoscalar meson masses
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• Manifestly Lorentz-Invariant Baryon Chiral Perturbation Theory
• Chiral effective field theories of the strong interactions