The chiral effective pion-nucleon Lagrangian of order p^4
arXiv:hep-ph/0001308 · doi:10.1006/aphy.2000.6059
Abstract
We construct the minimal effective chiral pion-nucleon SU(2) Lagrangian at fourth order in the chiral expansion. The Lagrangian contains 118 in principle measurable terms. We develop both the relativistic as well as the heavy baryon formulation of the effective field theory. For the latter, we also work out explicitly all 1/m corrections at fourth order. We display all relevant relations needed to find the linearly independent terms.
arXiv comment30 pp, LaTeX2e, coefficients of three third order 1/m^2 corrections proportional to F_{μν}^+ corrected in eq.(3.8) and table 4
References in corpus (13)
- Chiral Dynamics in Nucleons and Nuclei
- Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
- The Mesonic Chiral Lagrangian of Order
- Baryon Chiral Perturbation Theory in Manifestly Lorentz Invariant Form
- Aspects of chiral pion-nucleon physics
- Extension of the Chiral Perturbation Theory Meson Lagrangian to Order
- Pion--Nucleon Scattering in a New Approach to Chiral Perturbation Theory
- Low-energy expansion of the pion-nucleon Lagrangian
- QCD at θ\sim π
- Virtual photons in baryon chiral perturbation theory
- Chiral invariant renormalization of the pion--nucleon interaction
- Renormalization of the chiral pion-nucleon Lagrangian beyond next-to-leading order
- Generalized Heavy Baryon Chiral Perturbation Theory
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