Conserved Currents, Reggeization, and Mandelstam Counting in Second-Order Perturbation Theory

Duane A. Dicus and Vigdor L. Teplitz
Phys. Rev. D 3, 1910 – Published 15 April 1971
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Abstract

We consider the spinor pole in second-order spinor-vector and spinor-axial-vector scattering for all possible couplings and show that, except for the vector γμ coupling, none of the amplitudes factor. Therefore, only in the case of γμ coupling does the spinor lie on a nondegenerate Regge trajectory for all values of the coupling constant. The degeneracy in the case of the axial-vector γμγ5 coupling is less than for the remainder of the couplings. We also consider the axial-vector pole in pseudoscalar-vector scattering and show that for one particular pseudoscalar-vector-axial-vector coupling, the sense amplitudes factor. These results are reconciled with the Mandelstam counting procedure, and the effects of gauge invariance and isospin on factorization are investigated.

  • Received 30 October 1970

DOI:https://doi.org/10.1103/PhysRevD.3.1910

©1971 American Physical Society

Authors & Affiliations

Duane A. Dicus and Vigdor L. Teplitz

  • Laboratory for Nuclear Science and Physics Department, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139

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Issue

Vol. 3, Iss. 8 — 15 April 1971

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