Pion loops in quenched Quantum Chromodynamics
High Energy Physics - Lattice
2009-10-30 v1 High Energy Physics - Phenomenology
Abstract
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 scattering and evaluate the coefficient of the chiral log in the S-wave scattering lengths for the quenched case.
Keywords
Cite
@article{arxiv.hep-lat/9702019,
title = {Pion loops in quenched Quantum Chromodynamics},
author = {Gilberto Colangelo and Elisabetta Pallante},
journal= {arXiv preprint arXiv:hep-lat/9702019},
year = {2009}
}
Comments
Latex, 10 pages, 1 figure