Axiomatic Perturbation Theory. II. Partial Sum Formalism
- New York Univ., NY (United States)
A generalization of axiomatic perturbation theory is described in which propagator structure is introduced into the basic formalism, effectively resulting in a systematic rearrangement of the perturbation expressions representing a given process. The exact retarded functional of a simple boson field theory is decomposed into a sum of approximate functionals, and all the n-point functions of the first few approximate functionals are determined from modified unitarity equations and a knowledge of the corresponding perturbation functions. The resulting amplitudes differ from the perturbation amplitudes by the replacement of the perturbative spectral functions with related spectral functions depending upon the latter and on the propagator structure. Lastly, sets of integral equations for the higher functionals are proposed and solved.
- Research Organization:
- New York Univ., NY (United States)
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-17-024291
- OSTI ID:
- 4708986
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 4 Vol. 4; ISSN JMAPAQ; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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