Pion loops in quenched Quantum Chromodynamics

Details Pion loops in quenched Quantum Chromodynamics Pion loops in quenched Quantum Chromodynamics

1997-02-25

arxiv.org/abs/hep-lat/9702019v1

Phys.Lett. B409 (1997) 455-460

Physics

High Energy Physics

High Energy Physics - Lattice

Latex, 10 pages, 1 figure

Scientific paper

10.1016/S0370-2693(97)00891-5

We calculate the divergences of the generating functional of quenched Chiral Perturbation Theory to one loop for a generic number of flavours. The flavour number dependence of our result enlightens the mechanism of quark loop cancellation in the quenched effective theory for any Green function or S matrix element. We also apply our results to $\pi \pi$ scattering and evaluate the coefficient of the chiral log in the S-wave scattering lengths for the quenched case.

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