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

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

1998-09-18

arxiv.org/abs/hep-ph/9809446v1

Annals Phys. 279 (2000) 1-64

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1006/aphy.1999.5919

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.

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