Effective Chiral Lagrangians and Lattice QCD

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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27 pages, 9 postscript files, LaTeX; Corrections in Appendix A and Table 1; numerical results and conclusions unchanged; versi

Scientific paper

10.1016/S0550-3213(00)00490-9

We propose a general method to obtain accurate estimates for some of the "low-energy constants" in the one-loop effective chiral Lagrangian by means of simulating lattice QCD. In particular, the method is sensitive to those constants whose values are required to test the hypothesis of a massless up-quark. Initial tests performed in the quenched approximation confirm that good statistical precision can be achieved. As a byproduct we obtain an accurate estimate for the ratio of pseudoscalar decay constants, F_K/F_pi, in the quenched approximation, which lies 10% below the experimental result. The quantities that serve to extract the low-energy constants also allow a test of the scaling behaviour of different discretizations of QCD and a search for the effects of dynamical quarks.

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