Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector

Abstract

We provide an introduction to the basic concepts of chiral perturbation theory and discuss some recent developments in the manifestly Lorentz-invariant formulation of the one-nucleon sector.

85 pages, invited review article to appear in Progress in Particle and Nuclear Physics

References in corpus (19)

• Nucleon Electromagnetic Form Factors
• Chiral Perturbation Theory and Baryon Properties
• Chiral Perturbation Theory Beyond One Loop
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Chiral perturbation theory
• Cusps in K --> 3 pi decays
• Revisiting γγ->π^+π^- at low energies
• Axial, induced pseudoscalar, and pion-nucleon form factors in manifestly Lorentz-invariant chiral perturbation theory
• Infrared regularization for spin-1 fields
• Updated dispersion-theoretical analysis of the nucleon electromagnetic form factors
• Radiative corrections in K --> 3 pi decays
• Isospin breaking in Kl4 decays
• Cusps in K_L --> 3 pi decays
• Chiral expansion of the nucleon mass to order q^6
• Extraction of the Axial Nucleon Form Factor from Neutrino Experiments on Deuterium
• Probing the convergence of perturbative series in baryon chiral perturbation theory
• The polarizability of the pion: no conflict between dispersion theory and chiral perturbation theory
• Infrared regularization with vector mesons and baryons
• Two and Three Nucleon Forces

Cited by in corpus (35)

• The QCD Running Coupling
• Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems
• Towards a theory of hadron resonances
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Low-lying even parity meson resonances and spin-flavor symmetry
• The Theory of Parity Violation in Few-Nucleon Systems
• Electromagnetic form factors of the nucleon in effective field theory
• Threshold ${\pi }^0$ photoproduction in relativistic chiral perturbation theory
• Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory
• How to define physical properties of unstable particles
• Chiral perturbation theory and nucleon-pion-state contaminations in lattice QCD
• Magnetic moment of the Roper resonance
• Measurement of the proton spin structure at long distances
• Multi-hadron-state contamination in nucleon observables from chiral perturbation theory
• Low energy constituent quark and pion effective couplings in a weak external magnetic field
• Vacuum polarization corrections to low energy quark effective couplings
• Vector form factor of the pion in chiral effective field theory
• Quark and pion effective couplings from polarization effects
• Hot and dense matter beyond relativistic mean field theory
• Consistency between SU(3) and SU(2) chiral perturbation theory for the nucleon mass
• On a first order transition in QCD with up, down and strange quarks
• Renormalization of Unitarized Weinberg-Tomozawa Interaction without On-shell Factorization and $I=0$ $\bar{K}N$ - $\pi \Sigma$ Coupled Channels
• Unified model of nucleon elastic form factors and implications for neutrino-oscillation experiments
• Quantum Monte Carlo formalism for dynamical pions and nucleons
• Composite Dark Matter and a horizontal symmetry
• Radiative corrections of order O(alpha E_e/m_N) to Sirlin's radiative corrections of order O(alpha/pi) to neutron lifetime
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
• An update of muon capture on hydrogen
• Baryon chiral perturbation theory
• Radiative corrections of order $O(\alpha E_e/m_N)$ to Sirlin's radiative corrections of order $O(\alpha /\pi )$, induced by the hadronic structure of the neutron
• The lowest-lying spin-1/2 and spin-3/2 baryon magnetic moments in chiral perturbation theory
• Higher order fermion effective polynomial interactions
• Chiral effective field theories of the strong interactions
• The muon capture rate on hydrogen and the values of $g_A$ and $g_{\pi NN}$
• Ordinary Muon Capture in Hydrogen Reexamined