Problems with the quenched approximation in the chiral limit
Conference
·
OSTI ID:7017075
In the quenched approximation, loops of the light singlet meson (the [eta][prime]) 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 [l angle][anti [psi]][psi][r angle] [proportional to] m[sub q][sup [minus][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.
- Research Organization:
- Washington Univ., Seattle, WA (United States). Dept. of Physics
- Sponsoring Organization:
- DOE; USDOE, Washington, DC (United States)
- DOE Contract Number:
- FG06-91ER40614
- OSTI ID:
- 7017075
- Report Number(s):
- CONF-9209276-11; ON: DE93006786
- Country of Publication:
- United States
- Language:
- English
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