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Dispersion Theory and Current Algebra

Yuk-Ming P. Lam*,†

  • The Enrico Fermi Institute and the Department of Physics, The University of Chicago, Chicago, Illinois 60637

  • *Submitted to the Department of Physics, The University of Chicago, in partial fulfillment of the requirements for the Ph. D. degree.
  • †Present address: Department of Physics, University of Pittsburgh, Pittsburgh, Pa. 15213.
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Phys. Rev. D 4, 517 – Published 15 July, 1971

DOI: https://doi.org/10.1103/PhysRevD.4.517

Abstract

Lorentz invariance and the basic assumption in dispersion theory, namely, that the matrix element of a retarded or advanced commutator of local fields is an analytic function of the energy variable, are seen to determine the method of handling the dispersion integral, and to require the matrix element to consist of terms, each of which is a product of at most two poles or an integral thereof. This method is used to study current-algebra commutators, with the consequence that the widely employed assumption of single-pole dominance for the spin-1 parts of vector or axial-vector currents is inconsistent with current algebra. Some aspects of the Kl3 form factors are also discussed.

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Outline

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Phys. Rev. D 4, 517– Published 15 July, 1971
  • Received 6 November 1970

© 1971 American Physical Society

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