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arXiv · hep-lat/9312067

Quenched Chiral Perturbation Theory for Baryons

James N. Labrenz·Stephen R. Sharpe
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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 $η'$ ``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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BibTeXRIS

James N. Labrenz, Stephen R. Sharpe. 1993-12-17. Quenched Chiral Perturbation Theory for Baryons. https://doi.org/10.1016/0920-5632(94)90383-2

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