Low-energy QCD

Abstract

After a brief introduction to chiral perturbation theory, the effective field theory of the standard model at low energies, two recent applications are reviewed: elastic pion-pion scattering to two-loop accuracy and the complete renormalized pion-nucleon Lagrangian to $O(p^3)$ in the chiral expansion.

14 pages, Latex, 1 figure in uuencoded postscript file embedded with epsfig.sty. To appear in Proc. of Int. School of Nuclear Physics, Erice, Sept. 1995, Progr. Part. Nucl. Phys., vol. 36

References in corpus (10)

• Chiral Dynamics in Nucleons and Nuclei
• Chiral Perturbation Theory
• On the Foundations of Chiral Perturbation Theory
• Elastic $\pi \pi$ scattering to two loops
• Virtual Photons in Chiral Perturbation Theory
• Extension of the Chiral Perturbation Theory Meson Lagrangian to Order $P^6$
• The Low Energy $\pi \pi$ Amplitude to One and Two Loops
• Chiral invariant renormalization of the pion--nucleon interaction
• Principles of Chiral Perturbation Theory
• Constructing CP-Odd Observables

Cited by in corpus (21)

• Effective Field Theory of Nuclear Forces
• Hadron Physics from the Global Color Model of QCD
• Strangeness-changing scalar form factors
• Light-quark Loops in K->pi nu nu
• Improving the convergence of the chiral expansion for nuclear forces I: Peripheral phases
• Virtual Photons in Low Energy pi-pi Scattering
• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to $\pi \pi$ scattering
• Order p^6 chiral couplings from the scalar K Pi form factor
• Correlators of left charges and weak operators in finite volume chiral perturbation theory
• Chiral effective theory with a light scalar and lattice QCD
• Non-Relativistic Pion Interactions and the Pionium Lifetime
• Energy level displacement of excited np states of kaonic hydrogen
• Probing the chiral weak Hamiltonian at finite volumes
• The decay tau -> 3 pi + nu(tau) as a probe of the mechanism of dynamical chiral symmetry breaking
• $K\to \pi {\ell }^{+}{\ell }^{-}$ form factor in the Large-N${}_c$ and cut-off regularization method
• Charm mass dependence of the weak Hamiltonian in chiral perturbation theory
• Radiative corrections of order O(alpha E_e/m_N) to Sirlin's radiative corrections of order O(alpha/pi) to neutron lifetime
• Axion-modified photon propagator, Coulomb potential and Lamb-shift
• On radiative np -> 1s + gamma transitions, induced by strong low-energy interactions,in kaonic atoms
• 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
• Electrodisintegration of Deuteron into Dark Matter and Proton Close to Threshold