Bounds on Propagators, Coupling Constants, and Vertex Functions | Zendy

Sidney D. Drell | Zendy; Albert C. Finn | Zendy; Anthony C. Hearn | Zendy

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Bounds on Propagators, Coupling Constants, and Vertex Functions

Author(s) -

Sidney D. Drell,

Albert C. Finn,

Anthony C. Hearn

Publication year - 1964

Publication title -

physical review

Language(s) - English

Resource type - Journals

eISSN - 1536-6065

pISSN - 0031-899X

DOI - 10.1103/physrev.136.b1439

Subject(s) - propagator , coupling constant , physics , renormalization , vertex (graph theory) , vertex function , mathematical physics , connection (principal bundle) , renormalization group , scattering amplitude , scattering , quantum mechanics , quantum electrodynamics , mathematics , combinatorics , graph , geometry

We construct several bounds on renormalization con- stants and on the asymptotic behavior of propagation functions and vertices. The inputs are experimental measurements and/or analyticity properties of vertex functions. We also discuss the connection between zeros in propagators, poles in vertex functions, and the values of coupling constants. This is the problem studied by Geshkenbein and Ioffe and by Meiman, and we discuss the possible physica. significance of such zeros in terms of an extended Lee model.

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