Revisiting the Vector and Axial-vector Vacuum Susceptibilities

Details Revisiting the Vector and Axial-vector Vacuum Susceptibilities Revisiting the Vector and Axial-vector Vacuum Susceptibilities

2008-10-16

arxiv.org/abs/0810.2845v1

Phys.Lett.B669:327-330,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

5 pages, no figures, revtex4

Scientific paper

10.1016/j.physletb.2008.10.010

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.

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