Vector and axial-vector correlators in a chirally symmetric model

Details Vector and axial-vector correlators in a chirally symmetric model Vector and axial-vector correlators in a chirally symmetric model

2001-02-21

arxiv.org/abs/hep-ph/0102260v2

Nucl.Phys. A697 (2002) 338-371

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages, 25 figures included; revised version with one additional figure and appendix, accepted for publication in Nucl. Phys

Scientific paper

10.1016/S0375-9474(01)01248-9

We present a chirally symmetric hadronic model for the vector and axial-vector correlators in vacuum. The dominant contributions to these correlators come from intermediate pions, rho and a_1 mesons which are calculated in one-loop approximation. The resulting spectral functions are compared with the data obtained by the ALEPH collaboration from tau decay. In the vector channel we find good agreement up to q^2 = 1 GeV^2, in the transverse axial-vector channel up to q^2 = 2 GeV^2, corresponding to the regimes dominated by two-pion or three-pion decay channels, respectively. The longitudinal axial correlator is in almost perfect agreement with the PCAC result.

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