Summary
The fixed-t high-s behaviour of individual graphs contributing to the eikonal approximation is calculated up to 3rd order. It is shown that the mechanism which cancels the Regge cut in the AFS diagram is also responsible for the leading behaviour of each graph but is irrelevant to the eikonal model.
Riassunto
Si calcola fino al terzo ordine il comportamento pert fisso eds grande dei grafici individuali che contribuiscono all'approssimazione eiconale. Si dimostra che il meccanismo che cancella il taglio di Regge nel diagramma AFS è anche responsabile del comportamento principale di ogni grafico, ma è irrilevante per il modello eiconale.
Резюме
Вплоть до третьего порядка вычисляется поведение индивидуальных графиков при фиксированномt и большихs, которые дают вклад в приближение эйконала. Показывается, что механизм, который уничтожает разрез Редже в диаграмме AFS, является также ответственным за главное поведение каждой диаграммы, но он не имеет отношения к модели эйконала.
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Literatur
H. Cheng andT. T. Wu:Phys. Rev. Lett.,22, 666 (1969);S. J. Chang andS. Ma:Phys. Rev. Lett.,22, 1334 (1969);Phys. Rev.,188, 2378 (1969);F. Englert, P. Nicoletopoulos, R. Brout andC. Truffin:Nuovo Cimento,64 A, 561 (1969), hereafter referred to as I;M. Levy andJ. Sucher:Phys. Rev.,186, 1656 (1969).
R. J. Glauber:Lectures in Theoretical Physics, edited byW. E. Brittin andL. G. Dunham, Vol.1 (New York, 1959), p. 315;L. I. Schiff:Phys. Rev.,103, 443 (1956).
Seee.g. L. Van Hove:Topics on Regge-pole theory of high-energy scattering, CERN lectures, CERN report 68-31 (1968).
R. J. Eden, P. V. Landshoff, D. I. Olive andJ. C. Polkinghorne:The Analytic S-Matrix (Cambridge, 1966), and references cited therein.
D. Amati, S. Fubini andA. Stanghellini:Nuovo Cimento,26, 896 (1962).
V. V. Sudakov:Sov. Phys. JETP,3, 65 (1956).
V. N. Gribov:Sov. Phys. JETP,26, 414 (1968);G. A. Winbow:Phys. Rev.,177, 2533 (1969);I. G. Halliday andL. M. Saunders:Nuovo Cimento,60 A, 115 (1969);S. M. Negrine: Cambridge preprint 69/34 (1969);S. J. Chang andS. Ma:Phys. Rev.,180, 1506 (1969), and many others.
See alsoS. M. Negrine: ref. (7) Cambridge preprint 69/34 (1969) for a discussion of this point.
E.g. H. Cheng andT. T. Wu:Phys. Rev.,182, 1868 (1969), obtain eq. (16) and (18) in quantum electrodynamics by the Mellin-transform method.
R. Blankenbecler andM. L. Goldberger:Phys. Rev.,126, 766 (1962).
A. N. Chester:Phys. Rev.,140, B 85 (1965).
R. Torgerson:Phys. Rev.,143, 1194 (1966).
S. Mandelstam:Nuovo Cimento,30, 1127, 1148 (1963);J. C. Polkinghorne:Phys. Lett.,4, 24 (1963).
K. Mitchell:Phil. Mag.,40, 351 (1949).
G. Tiktopoulos:Phys. Rev.,131, 480 (1963);I. G. Halliday:Nuovo Cimento,30, 177 (1963).
A major effort in this direction is being pursued byH. Cheng andT. T. Wu:Phys. Rev.,182, 1852, 1968, 1873, 1899 (1969);184, 1868 (1969);186, 1611 (1969);Phys. Rev. Lett.,24, 759 (1970); andPhys. Rev., to be published.
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Nicoletopoulos, P., Prevost, M.A.L. High-energy behaviour of feynman graphs and the eikonal approximation. Nuovo Cimento A (1965-1970) 69, 665–685 (1970). https://doi.org/10.1007/BF02819093
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DOI: https://doi.org/10.1007/BF02819093