Quenched Chiral Perturbation Theory for Baryons

Abstract

We develop quenched chiral perturbation theory for baryons using the graded-symmetry formalism of Bernard and Golterman and calculate non-analytic contributions to the baryon masses coming from quenched chiral loops. The usual term proportional to $m_q^{3/2}$ is substantially altered due to the cancellation of diagrams with internal quark loops. In addition, the ${\eta }^{\prime }$ ``hairpin'' vertex leads to a new correction, proportional to $m_q^{1/2}$. We compare our results to numerical lattice data and use them to estimate the size of the quenching error in the octet baryon masses.

7 pages (An abridged version of this note will appear in the proceedings of Lattice'93. Latex + 14 postscript files, bundled using uufiles. Needs psfig.) UW/PT-93-07

References in corpus (2)

• Chiral Perturbation Theory for the Quenched Approximation of QCD
• Hadron Mass Predictions of the Valence Approximation to Lattice QCD

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• QCD Equalities for Baryon Current Matrix Elements
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• Light-quark contributions to the magnetic form factor of the Lambda(1405)
• Continuum limit of lattice QCD with staggered quarks in the quenched approximation - a critical role for the chiral extrapolation
• Light Hadron Spectrum in Quenched Lattice QCD with Staggered Quarks
• Singlet baryons in the graded symmetry approach to partially quenched QCD
• Mass spectrum and decay constants in the continuum limit
• Status Report on Weak Matrix Element Calculations