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Published April 24, 1972 | Published
Journal Article Open

Summability Methods, the Strong Asymptotic Condition, and Unitarity in Quantum Field Theory

Abstract

We discuss a summability mechanism which preserves nonlinear perturbative conditions such as unitarity of the Feynman series. This condition, which relates a function f(z) and a series Σa_nz^n by the requirement ∣f(z) −Σn =^N 0a_nz^n∣ <~ Aσ^(N+1)(N+1)!|z|^(N+1) is applicable to certain divergent series.

Additional Information

© 1972 American Physical Society. (Received 28 February 1972) Research partially supported by the U. S. Air Force Office of Scientific Research under Contract No. F44620-71-C-0108. Alfred P. Sloan Foundation Fellow.

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Published - PhysRevLett.28.1145.pdf

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August 19, 2023
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