CONVERGENCE OF PERTURBATION EXPANSIONS IN CUTOFF MESON THEORIES
It is proved that the perturbation expansion of matrix elements for a class of meson theories has a nonzero radius of convergence. Included are theories describing bosons of nonvanishing mass, coupled linearly of bilinearly to fermions (but not antifermions) via an interaction which cuts off or attenuates sufficiently rapidly for high boson momenta. By bounding the propagators by their values for zero boson momentum, a majorizing series to the perturbation expansion converging geometrically is obtained. (auth)
- Research Organization:
- Naval Ordnance Lab., Silver Spring, Md.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-16-021278
- OSTI ID:
- 4828223
- Journal Information:
- J. Math. Phys., Journal Name: J. Math. Phys. Vol. Vol: 3
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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