Quenched and Partially Quenched Chiral Perturbation Theory for Vector and Tensor Mesons

Abstract

Quenched and partially quenched chiral perturbation theory for vector mesons is developed and is used to extract chiral loop correction to the $\rho$ meson mass. Connections to fully quenched and totally unquenched chiral perturbation theory results are discussed. It is also shown that (partially) quenched perturbation theory for tensor mesons can be formulated analogously, and the chiral corrections for tensor meson masses are directly proportional to their counterparts in the vector meson sector. Utilizing this observation and non-relativistic quark model, we point out that mass difference $(m_{a_2}-\frac{3}{2}{m}_{\rho })$ is ``quenching-insensitive'' in large-$N_c$ limit. This quantity may be used for normalization of mass scale in lattice QCD calculations.

Latex, 21 pages, 3 figures, several improved discussions added Ref-no.: CLNS 97/1506, IASSNS-HEP 87-89, SNUTP 97-102

References in corpus (2)

• Exotic mesons in quenched lattice QCD
• Enhanced chiral logarithms in partially quenched QCD

Cited by in corpus (10)

• Physical Results from Unphysical Simulations
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• Unified chiral analysis of the vector meson spectrum from lattice QCD
• Chiral extrapolation beyond the power-counting regime
• Vector Meson Mass Corrections at O(a^2) in PQChPT with Wilson and Ginsparg-Wilson quarks
• Tensor Meson Production in Proton-Proton Collisions from the Color Glass Condensate
• Vector meson masses in 2+1 flavor Wilson Chiral Perturbation Theory
• PQChPT with Staggered Sea and Valence Ginsparg-Wilson Quarks: Vector Meson Masses