Summary
Using as an example the simple scalar modelρ 3(6) ; we describe our method of analysing the bound-state form factors based on the systematic use of the alpha-representation for Feynman diagrams. The nature of «nonrenormalization group» logarithms specific for the form-factor-type problems is investigated. The summation of ladder contributions is performed in the leading-logarithm approximation.
Riassunto
Usando come esempio il semplice modello scalareρ 3(6) si descrive il metodo di analizzare i fattori di forma dello stato legato basati sull’uso sistematico della rappresentazione alfa per i diagrammi di Feyman. Si studia la natura dei logaritmi del gruppo di non rinormalizzazione specifico di problemi di tipo fattore di forma. Si esegue la somma dei contributi di a gradini nell’approssimazione del logaritmo principale.
Резюме
На примере простой скалярной моделиρ 3(6) излагается метод анализа формфакторов составных систем, основанный на систематическом использовании альфа-представления фейнмановских диаграмм. Исследуется природа «неренормгрупповых» логарифмов, специфичных для задач формфакторного типа. Проведено суммирование лестничных вкладов в главном лограрифмическом приближении.
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References
A. V. Efremov andA. V. Radyushkin:Teor. Mat. Fiz.,42, 147 (1980).
S. J. Brodsky andG. P. Lepage:Phys. Rev. D,22, 2157 (1980).
A. Duncan andA. H. Mueller:Phys. Rev. D,21, 1636 (1979).
C. J. Bebek, C. N. Brown, S. D. Holmes, R. V. Kline, F. M. Pipkin, S. Raither, L. K. Sisterson, A. Browman, K. M. Hanson, D. Larson andA. Silverman:Phys. Rev. D,17, 1693 (1978).
A. V. Efremov andA. V. Radyushkin:Phys. Lett. B,94, 245 (1980).
A. I. Milshtein andV. S. Fadin:Yad. Fiz.,33, 1391 (1981).
S.-C. Chao:Phys. Rev. D,21, 3423 (1980).
T. Appelquist andE. C. Poggio:Phys. Rev. D,10, 3280 (1974).
A. V. Efremov andA. V. Radyushkin:Teor. Mat. Fiz.,30, 168 (1977).
A. V. Efremov andA. V. Radyushkin:Teor. Mat. Fiz.,44, 327 (1980).
S. Mandelstam:Proc. R. Soc. London, Ser. A,233, 248 (1955).
N. N. Bogoliubov andD. V. Shirkov:Introduction to the Theory of Quantized Fields (Moscow, 1976).
O. I. Zavialov:Renormalized Feynman Diagrams (Moscow, 1979).
F.-M. Dittes andA. V. Radyushkin:Yad. Fiz.,34, 529 (1981).
H. Bateman andA. Erdelyi:Higher Transcendental Functions, Vol.2 (New York, N. Y., 1953).
V. A. Matveev, R. M. Muradyan andA. N. Tavkhelidze:Lett. Nuovo Cimento,7, 719 (1973).
S. J. Brodsky andG. R. Farrar:Phys. Rev. Lett.,31, 1153 (1973).
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Efremov, A.V., Nesterenko, V.A. & Radyushkin, A.V. Pion form factor in a scalar model. Nuov Cim A 76, 122–142 (1983). https://doi.org/10.1007/BF02902426
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DOI: https://doi.org/10.1007/BF02902426