Renormalization of the chiral pion-nucleon Lagrangian beyond next-to-leading order

Abstract

The complete renormalization of the generating functional for Green functions of quark currents between one-nucleon states in two flavor heavy baryon chiral perturbation theory is performed to order $q^4$. We show how the heat kernel method has to be extended for operators orthogonal to the heavy fermion four-velocity. A method is developed to treat the multi-coincidence limit arising from insertions of dimension two (and higher) operators on internal baryon propagators in self-energy graphs. As examples, we study the divergences in the isoscalar magnetic moment and the scalar form factor of the nucleon.

65 pp, LaTeX file, 3 figures (uses epsf)

References in corpus (6)

• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to $\pi \pi$ scattering
• Isospin violation in pion-nucleon scattering
• Virtual photons in baryon chiral perturbation theory
• Wave function renormalization in heavy baryon chiral perturbation theory
• The one-loop functional as a Berezinian

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• Chiral Lagrangians with $\Delta (1232)$ to one loop
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• Weak hyperon decays in heavy baryon chiral perturbation theory: Renormalization and applications
• Renormalization of chiral perturbation theory with spinless matter field in curved spacetime