Chiral corrections to the axial charges of the octet baryons from quenched QCD

Abstract

We calculate one-loop correction to the axial charges of the octet baryons using quenched chiral perturbation theory, in order to understand chiral behavior of the axial charges in quenched approximation to quantum chromodynamics (QCD). In contrast to regular behavior of the full QCD chiral perturbation theory result, $c_0+c_{l2}{m}_{\pi }^2\ln m_{\pi }^2+\cdots$, we find that the quenched chiral perturbation theory result, $c_0^Q+(c_{l0}^Q+c_{l2}^Q{m}_{\pi }^2)\ln m_{\pi }^2+c_2^Q{m}_{\pi }^2+\cdots$, is singular in the chiral limit.

standard LaTeX, 16 pages, 4 epsf figures

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• Nucleon axial charge from quenched lattice QCD with domain wall fermions
• Nucleons in Two-Flavor Partially-Quenched Chiral Perturbation Theory
• The Magnetic Moments of the Octet Baryons in Quenched Chiral Perturbation Theory
• Baryon Decuplet to Octet Electromagnetic Transitions in Quenched and Partially Quenched Chiral Perturbation Theory
• Electromagnetic Properties of the Baryon Decuplet in Quenched and Partially Quenched Chiral Perturbation Theory
• Flavor Twisted Boundary Conditions and the Nucleon Axial Current
• Flavor Twisted Boundary Conditions and the Nucleon Vector Current
• Chiral Corrections to Hyperon Axial Form Factors
• Hadronic Electromagnetic Properties at Finite Lattice Spacing
• Chiral Perturbation Theory on the Lattice and its Applications