Generalized Retarded Functions and Analytic Function in Momentum Space in Quantum Field Theory
Journal Article
·
· Journal of Mathematical Physics
The analytic n-point function in momentum space ln quantum field theory is studied. Its different boundary values for real values of the argument are determined, and a necessary and sufficient condition for them to be obtainable from the Wightman functions is given. The conditions are relativistic covariance, support properties in coordinate space (retardedness), two-term identities for momentum below threshold (corresponding to spectrum conditions) and four-term identlties (Steinmann relations). The first three conditions are translatable lnto a statemert about the domain of amalyticity of the n-point function: it ls analytic in a union of various extended tubes plus the polnts of contact of two neighboring tubes for real part of one momentum below threshold.
- Research Organization:
- Univ. of Illinois, Urbana
- Sponsoring Organization:
- USDOE
- NSA Number:
- NSA-15-014880
- OSTI ID:
- 4057309
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 2 Vol. 2; ISSN 0022-2488
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- Country unknown/Code not available
- Language:
- English
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