Quenched Chiral Perturbation Theory for Baryons

Details Quenched Chiral Perturbation Theory for Baryons Quenched Chiral Perturbation Theory for Baryons

1993-12-17

arxiv.org/abs/hep-lat/9312067v1

Nucl.Phys.Proc.Suppl. 34 (1994) 335-337

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages (An abridged version of this note will appear in the proceedings of Lattice'93. Latex + 14 postscript files, bundled u

Scientific paper

10.1016/0920-5632(94)90383-2

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 $\eta'$ ``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.

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