Summary
For a model possibly useful for the description of low-energy hadronic-scattering amplitudes and electromagnetic form factors we construct the electromagnetic current and discuss its Ward identity and renormalization. We find that the unrenormalized current is finite in the physical sector of the Hilbert space.
Riassunto
Per un modello possibilmente utile per la descrizione di ampiezze di scattering adronici a bassa energia e fattori di forma elettromagnetici, si costruisce la corrente elettro-magnetica e si discutono la sua identità di Ward e renormalizzazione. Si trova che la sua corrente di non renormalizzazione è finita nel settore fisico dello spazio di Hilbert.
Резюме
В рамках модели для описания амплитуд рассеяния адронов при низких энергиях и электромагнитных форм-факторов мы конструируем электромагнитный ток и обсуждаем тождество Уорда и перенормировку электромагнитныго тока. Мы получаем, что неперенормированный ток является конечным в физическом секторе гильбертова пространства.
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References
K. Bardakci andM. B. Halpern:Phys. Rev. D,6, 696 (1972);K. Bardakci:Nucl. Phys.,51 B, 174 (1973).
I. Bars, M. B. Halpern andM. Yoshimura:Phys. Rev. Lett.,29, 969 (1972);Phys. Rev. D,7, 1233 (1973).
B. de Wit:Nucl. Phys.,51 B, 237 (1973);Phys. Rev. D,9, 3399 (1974).
K. Fabricius andJ. Fleischer:Elastic nucleon-nucleon scattering in a gauge field Theory, in press toPhys. Rev. D; Nucleon-nucleon scattering in a non-Abelian gauge theory, inFew Body Systems and Nuclear Forces, Lecture Note in Physics, Vol.82 (Berlin, Heidelberg, and New York, N. Y., 1978).
G. Preparata andW. I. Weisberger:Phys. Rev.,175, 1965 (1968).
K. Fabricius andI. Schmitt:Lett. Nuovo Cimento,21, 37 (1978).
H. Kluberg Stern andJ. B. Zuber:Phys. Rev. D,12, 467, 482, 3159 (1975).
J. A. Dixon andJ. C. Taylor:Nucl. Phys.,78 B, 552 (1974).
S. T. Joglekar andB. W. Lee:Ann. of Phys.,97, 160 (1976).
C. Becchi, A. Rouet andR. Stora:Ann. of Phys.,98, 287 (1976).
J. Zinn-Justin:Renormalization of gauge theories, inTrends in Elementary Particle Theory, Lecture Notes in Physics, Vol.37 (Berlin, Heidelberg, and New York, N. Y., 1975).
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Fabricius, K., Schmitt, I. Renormalization of the electromagnetic current in a non-Abelian gauge theory of strong interactions. Nuov Cim A 51, 296–308 (1979). https://doi.org/10.1007/BF02775427
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DOI: https://doi.org/10.1007/BF02775427