FUNDAMENTAL PROPERTIES OF PERTURBATION-THEORETICAL INTEGRAL REPRESENTATIONS. PART II
Journal Article
·
· Journal of Mathematical Physics (New York) (U.S.)
It is investigated, apart from the perturbation-theoretical basis, under what conditions the perturbation-theoretical integral representations can be derived, and two theorems are given concerning this problem. The asymptotic behavior of the weight function in the integral representation is investigated in perturbation theory. It is proved that the weight function vanishes at infinity for an infinite sum over certain graphs which are much more general than the ladderlike graphs. This result gives the analyticity in the right half-plane of complex angular momentum. (auth)
- Research Organization:
- Inst. for Advanced Study, Princeton, N.J.
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-18-000928
- OSTI ID:
- 4156342
- Journal Information:
- Journal of Mathematical Physics (New York) (U.S.), Journal Name: Journal of Mathematical Physics (New York) (U.S.) Vol. Vol: 4; ISSN JMAPA
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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