Revisiting the Vector and Axial-vector Vacuum Susceptibilities
High Energy Physics - Phenomenology
2008-11-26 v1 Nuclear Theory
Abstract
We re-investigate the vector and axial-vector vacuum susceptibilities by taking advantage of the vector and axial-vector Ward-Takahashi identities. We show analytically that, in the chiral limit, the vector vacuum susceptibility is zero and the axial-vector vacuum susceptibility equals three fourths of the square of the pion decay constant. Besides, our analysis reproduces the Weinberg sum rule.
Cite
@article{arxiv.0810.2845,
title = {Revisiting the Vector and Axial-vector Vacuum Susceptibilities},
author = {Lei Chang and Yu-xin Liu and Wei-min Sun and Hong-shi Zong},
journal= {arXiv preprint arXiv:0810.2845},
year = {2008}
}
Comments
5 pages, no figures, revtex4