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Mandelstam Iteration in a Realistic Bootstrap Model of the Strong-Interaction<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>Matrix
12
Citations
8
References
1966
Year
Numerical AnalysisApplied Mathematical ModellingEngineeringRealistic Bootstrap ComputationsComputational ChemistryComputational MechanicsStatistical Field TheoryMath XmlnsNumerical SimulationStrip ModelMatrix MethodModeling And SimulationPerturbation MethodPhysicsMandelstam IterationQuantum Field TheoryNon-perturbative QcdNatural SciencesRealistic Bootstrap ModelParticle PhysicsHigh-frequency ApproximationTheoretical ModelingMany-body Problem
The Mandelstam iteration is analyzed for a strip model of the four-line connected part that conforms to most known strong-interaction experimental requirements at both high and low energies. It is shown that, with the Froissart limit as a supplementary condition, asymptotic behavior is controlled by Regge poles, the amplitude being meromorphic in the right-half angular-momentum complex plane. The results support the practicality of the Mandelstam iteration as a numerical technique for realistic bootstrap computations.
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