Chiral invariant renormalization of the pion--nucleon interaction

Abstract

The leading divergences of the generating functional for Green functions of quark currents between one--nucleon states are calculated with heat kernel techniques. The results allow for a chiral invariant renormalization of all two--nucleon Green functions of the pion--nucleon system to $O(p^3)$ in the low--energy expansion.

13 pages, LaTex, 2 figures in appended postscript file, Univ. Wien preprint UWThPh-1994-1

References in corpus (4)

• The 1/N Expansion for Baryons
• Recent Developments in Chiral Perturbation Theory
• Chiral Dynamics and Heavy-Fermion Formalism in Nuclei: I. Exchange Axial Currents
• The standard model at low energies

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• Chiral Perturbation Theory
• Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
• Pion-nucleon scattering in chiral perturbation theory I: Isospin-symmetric case
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• The chiral effective pion-nucleon Lagrangian of order p^4
• Low energy analysis of the nucleon electromagnetic form factors
• The form factors of the nucleon at small momentum transfer
• Using effective field theory to analyse low-energy Compton scattering data from protons and light nuclei
• The reaction $\pi N\to \pi \pi N$ at threshold in chiral perturbation theory
• Axial coupling constant of the nucleon for two flavours of dynamical quarks in finite and infinite volume
• Low-energy expansion of the pion-nucleon Lagrangian
• Quark mass dependence of the nucleon axial-vector coupling constant
• Isospin violation in pion-nucleon scattering
• Muon capture by a proton in heavy baryon chiral perturbation theory
• Virtual photons in baryon chiral perturbation theory
• One-loop analysis of the reaction pi N to pi pi N
• Low energy analysis of nu N --> nu N gamma in the Standard Model
• Low-energy QCD
• Threshold $pp\to pp{\pi }^0$ up to one-loop accuracy
• Wave function renormalization in heavy baryon chiral perturbation theory
• Precision calculation of the axion-nucleon coupling in chiral perturbation theory
• Renormalization of the chiral pion-nucleon Lagrangian beyond next-to-leading order
• Meson-baryon effective chiral Lagrangians at order $p^4$
• The one-loop functional as a Berezinian
• One-loop renormalization of the chiral Lagrangian for spinless matter fields in the SU(N) fundamental representation
• Chiral symmetry
• Chiral Lagrangians with $\Delta (1232)$ to one loop
• Baryon Chiral Perturbation Theory A.D. 1994
• Effective Field Theory in The Study of Long Range Nuclear Parity Violation on Lattice
• Renormalization of the three flavor Lagrangian in heavy baryon chiral perturbation theory
• Chiral Lagrangians with decuplet baryons to one loop
• Ghost poles in the nucleon propagator in the linear-sigma model approach and its role in pion-nucleon low-energy theorems
• Low-Energy Lepton-Proton Bremsstrahlung via Effective Field Theory
• Threshold Pion Photo- and Electroproduction in Chiral Perturbation Theory
• On-Shell Approach to Pion-Nucleon Physics
• The $\Delta (1232)$ as an Effective Degree of Freedom in Chiral Perturbation Theory
• Fixed-Point Analysis of the Low-Energy Constants in the Pion-Nucleon Chiral Lagrangian
• Weak hyperon decays in heavy baryon chiral perturbation theory: Renormalization and applications
• Status of three flavor baryon chiral perturbation theory