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

Citation
Ug. Meissner et al., Renormalization of the chiral pion-nucleon Lagrangian beyond next-to-leading order, ANN PHYSICS, 279(1), 2000, pp. 1-64
Citations number
27
Categorie Soggetti
Physics
Journal title
ANNALS OF PHYSICS
ISSN journal
00034916 → ACNP
Volume
279
Issue
1
Year of publication
2000
Pages
1 - 64
Database
ISI
SICI code
0003-4916(20000110)279:1<1:ROTCPL>2.0.ZU;2-E
Abstract
The complete renormalization of the generating functional for Green Functio ns 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 must be extended for operators orthogonal to the heavy fermi on four-velocity. We develop a method of treating the multicoincidence limi t arising from insertions of dimension two (and higher) operators on intern al baryon propagators in self-energy graphs. As examples, we study the dive rgences in the isoscalar magnetic moment and the scalar form factor of the nucleon. (C) 2000 Academic Press.