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Published July 25, 1968 | public
Journal Article Open

Field-theoretic formulation of the bootstrap hypothesis

Abstract

A precise statement of the bootstrap theory in the language of conventional Lagrangian field theory is given. Under no further assumptions than the Mandelstam representation, it is shown that this closed-form theory is equivalent to the more usual S-matrix formulation in terms of Regge trajectories. The assumptions of the bootstrap theory are stated in terms of the vanishing of well-defined renormalization constants Z. All standard results and approximation methods in the bootstrap theory are shown to follow directly from the Z=0 conditions.

Additional Information

©1968 The American Physical Society. Received 7 March 1968. Work supported in part by the U.S. Atomic Energy Commission. Prepared under Contract Nos. AT(11-1)-68 and AT(11-1)-34 for the San Francisco Operations Office, U.S. Atomic Energy Commission. The authors are grateful for the hospitality of the Physics Division of the Aspen Institute for Humanistic Studies where some of this work was done.

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August 21, 2023
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