Problems with the Quenched Approximation in the Chiral Limit

Details Problems with the Quenched Approximation in the Chiral Limit Problems with the Quenched Approximation in the Chiral Limit

1992-11-02

arxiv.org/abs/hep-lat/9211005v1

Nucl. Phys. Proc. Suppl. 30 (1993) 213

Physics

High Energy Physics

High Energy Physics - Lattice

(talk given at Lattice '92), 4 pages latex, 3 postscript figures, uses espcr2.sty and psfig.tex (all included) UW/PT-92-20

Scientific paper

10.1016/0920-5632(93)90192-9

In the quenched approximation, loops of the light singlet meson (the $\eta'$) give rise to a type of chiral logarithm absent in full QCD. These logarithms are singular in the chiral limit throwing doubt upon the utility of the quenched approximation. In previous work, I summed a class of diagrams, leading to non-analytic power dependencies such as $\cond\propto m_q^{-\delta/(1+\delta)}$. I suggested, however, that these peculiar results could be redefined away. Here I give an alternative derivation of the results, based on the renormalization group, and argue that they cannot be redefined away. I discuss the evidence (or lack thereof) for such effects in numerical data.

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