Current Algebras, Sum Rules, and Canonical Field Theories

G. Cocho; C. Fronsdal; R. White

doi:10.1103/PhysRev.180.1547

Abstract

A very large class of c-number Lagrangian field theories, called canonical field theories—being all theories whose field equations have sufficiently many solutions—satisfy a number of important completeness relations. These relations ensure the existence of Gell-Mann current algebras and Fubini sum rules, and guarantee that canonical field quantization is possible. We have studied finite-component, first- and second-order Largrangians in general, and a class of fourth-order Lagrangians. The work is preliminary to an investigation of infinite-component field theories.

Received 13 December 1968

DOI:https://doi.org/10.1103/PhysRev.180.1547

Erratum

Current Algebras, Sum Rules, and Canonical Field Theories

G. COCHO, C. FRONSDAL, and R. WHITE

Phys. Rev. 187, 2280 (1969)

Authors & Affiliations

G. Cocho^* and C. Fronsdal^†

International Centre for Theoretical Physics, Trieste, Italy

R. White

University of California, Los Angeles, California 90024

^*On leave of absence from the University of Mexico, Mexico D. F.
^†On leave of absence from the University of California, Los Angeles, Calif.

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