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Prog. Theor. Phys. Vol. 48 No. 6 (1972) pp. 2399-2403
Unsubtracted Dispersion Relation and the Anomalous Term
Hiroyuki Kikugawa
Department of Physics, University of Tokyo, Tokyo
(Received July 10, 1972)
Abstract:
We investigate the axial vector (pseudoscalar) current-two-photon
triangle graph by means of unsubtracted dispersion relations. The
anomalous term appears in agreement with the previous Feynman-Dyson
calculations using regulators and is found to be present because of
the fact that the axial vector current-two-photon form factor G(s)
does not satisfy the superconvergence relation
\int∞4m2 Im G (s) ds = 0.
We also discuss the kinematical difference between the matrix element
of the axial vector current and that of the divergence of the axial
vector current.
URL :
http://ptp.ipap.jp/link?PTP/48/2399/
DOI : 10.1143/PTP.48.2399
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