Covariance and the Cancellation of Schwinger and Seagull Terms in Applications of Current Algebras

Stanley G. Brown
Phys. Rev. 158, 1444 – Published 25 June 1967; Erratum Phys. Rev. 163, 1854 (1967)
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Abstract

Manifest covariance and the assumption that the equal-time commutators (ETC) of currents and spatial components of fields are no more singular than delta functions are shown to imply the cancellation of Schwinger and seagull terms in the divergence of the scattering amplitude. Slightly stronger assumptions about the field-current ETC used in previous work are shown to imply the more specific Schwinger-seagull relations found there, without the need of divergence conditions. The technique used is generally applicable to the study of the relation of Schwinger and seagull terms. The role of divergence conditions in previous work is discussed.

  • Received 14 February 1967

DOI:https://doi.org/10.1103/PhysRev.158.1444

©1967 American Physical Society

Erratum

Authors & Affiliations

Stanley G. Brown

  • Laboratory of Nuclear Studies, Cornell University, Ithaca, New York

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Issue

Vol. 158, Iss. 5 — June 1967

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