Solutions of the callan-symanzik equation in a complex neighborhood of zero coupling

Journal Article · Wed Oct 15 04:00:00 EDT 1975 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.12.2298· OSTI ID:4097831

Khuri, N. N.

In this paper we investigate some of the consequences of having the vertex functions in a field theory or a model, that satisfy the Callan-Symanzik equation, also satisfy some analyticity and uniformity properties in the coupling constant g. The solutions of the Callan-Symanzik equation in a complex neighborhood of the origin are studied. The implications of analyticity in g to scaling, anomalous dimensions, and Borel summability for large Euclidean momenta are pointed out. The input we start with, though not yet established in four- dimensional field theories, has been proved for two-dimensional phi$sup 4$ theories. It also happens to be true in many ''models'' discussed in the literature in connection with Bjorken scaling. (AIP)

• Research Organization: Rockefeller University, New York, New York 10021
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-019349
• OSTI ID: 4097831
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 12; ISSN PRVDAQ; ISSN 0556-2821
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

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