Quenched chiral logarithms
- 1 October 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 46 (7), 3146-3168
- https://doi.org/10.1103/physrevd.46.3146
Abstract
I develop a diagrammatic method for calculating chiral logarithms in the quenched approximation. While not rigorous, the method is based on physically reasonable assumptions, which can be tested by numerical simulations. The main results are that, at leading order in the chiral expansion, (a) there are no chiral logarithms in quenched (b) the chiral logarithms in and related kaon parameters are, for , the same in the quenched approximation as in the full theory, and (c) for and the condensate there are extra chiral logarithms due to loops containing the , which lead to a peculiar nonanalytic dependence of these quantities on the bare quark mass. Following the work of Gasser and Leutwyler, I discuss how there is a predictable finite volume dependence associated with each chiral logarithm. I compare the resulting predictions with numerical results: for most quantities the expected volume dependence is smaller than the errors, but for and there is an observed dependence which is consistent with the predictions.
Keywords
This publication has 29 references indexed in Scilit:
- Chiral perturbation theory for the quenched approximationNuclear Physics B - Proceedings Supplements, 1992
- Chiral logarithms in quenchedandPhysical Review D, 1990
- Thermodynamics of chiral symmetryPhysics Letters B, 1987
- Light quarks at low temperaturesPhysics Letters B, 1987
- Volume dependence of the energy spectrum in massive quantum field theoriesCommunications in Mathematical Physics, 1986
- Chiral perturbation theory: Expansions in the mass of the strange quarkNuclear Physics B, 1985
- Validity of Chiral Perturbation Theory forMixingPhysical Review Letters, 1984
- Chiral Perturbation TheoryPhysical Review D, 1973
- Perturbation Theory about a Goldstone SymmetryPhysical Review Letters, 1971
- Pion Scattering LengthsPhysical Review Letters, 1966