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Propagator Ghosts and Regge Poles

Journal Article · · Journal of Mathematical Physics (New York) (U.S.)
DOI:https://doi.org/10.1063/1.1724314· OSTI ID:4687531
In the approximation of considering only vertex contributions to the propagator, we determine sufficient conditions on the two-particle scattering amplitude which does not generate ghosts in the propagator. The Regge type of behavior does not satisfy these conditions, and will give rise to ghosts unless cancellations occur coming from the higher inelastic contributions to the vertex-function unitarity condition, which have been neglected in our calculation. The double-pole behavior discussed by Frye is found to be the only two-particle scattering-amplitude behavior which will have no propagator ghosts, under certain general conditions.
Research Organization:
New York Univ., New York
Sponsoring Organization:
USDOE
NSA Number:
NSA-17-031298
OSTI ID:
4687531
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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