Quenched Chiral Perturbation Theory for Vector Mesons

Details Quenched Chiral Perturbation Theory for Vector Mesons Quenched Chiral Perturbation Theory for Vector Mesons

1996-10-29

arxiv.org/abs/hep-ph/9610532v1

Phys.Rev. D55 (1997) 3092-3100

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 8 figures, uses REVTeX and epsf.sty

Scientific paper

10.1103/PhysRevD.55.3092

We develop quenched chiral perturbation theory for vector mesons made of light quarks, in the limit where the vector meson masses are much larger than the pion mass. We use this theory to extract the leading nonanalytic dependence of the vector meson masses on the masses of the light quarks. By comparing with analogous quantities computed in ordinary chiral perturbation theory, we estimate the size of quenching effects, observing that in general they can be quite large. This estimate is relevant to lattice simulations, where the $\rho$ mass is often used to set the lattice spacing.

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