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Strongly coupled field

II: Interactions of the yukawa type

Сильно свяэанные поля

II: Вэаимодействия типа Юкавы

  • Published:
Il Nuovo Cimento A (1965-1970)

Summary

We investigate explicitly the large-coupling limit of the renormalizable interactions of particles of spin 1/2 and spin 0. This is done with a previously formulated theory of strong coupling. The principal result of the investigation is the complete decoupling of spin-1/2 particles from those of spin 0 in the large-coupling regime. The applications of our findings to semi-classical models of quark confinement and to Bjorken scaling are discussed, briefly.

Riassunto

Si indaga esplicitamente il limite di accoppiamento grande delle interazioni rinormalizabili di particelle con spin 1/2 e 0. Ciò è fatto con una teoria precedentemente formulata di accoppiamento forte. Il risultato principale della ricerca è il completo disaccoppiamento delle particelle con spin 1/2 da quelle con spin 0 nel regime ad ampio accoppiamento. Si discutono brevemente le applicazioni dei nostri risultati ai modelli semiclassici di confinamento di quark e alla variazione di scala di Bjorken.

Реэюме

Мы исследуем предел сильной свяэи для перенормируемых вэаимодействий частиц со спином 1/2 и спином 0. Для зтого испольэуется ранее сформулированная теория сильной свяэи. Главный реэультат исследования состоит в том, что полностью отсутствует свяэь частиц со спином 1/2 с частицами со спином 0 в режиме сильной свяэи. Обсуждаются применения нащих реэультатов в полуклассических моделях удержания кварков и в скейлинге Бьёркена.

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References

  1. B. F. L. Ward:Nuovo Cimento,45 A, 1 (1978).

    Article  ADS  Google Scholar 

  2. R. P. Feynman:Rev. Mod. Phys.,20, 367 (1948);Phys. Rev.,74, 1430 (1948).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. S. Hori:Nucl. Phys.,30, 644 (1962).

    Article  MathSciNet  MATH  Google Scholar 

  4. B. F. L. Ward: to appear.

  5. P. Vinciarelli:Lett. Nuovo Cimento,4, 905 (1972);W. Bardeen, M. Chanowitz, S. D. Drell, M. Weinstein andT.-M. Yan:Phys. Rev. D,11, 1094 (1975).

    Article  Google Scholar 

  6. B. F. L. Ward:Differential dispersive approach to large momentum transfer processes, I, Stanford Linear Accelerator Center preprint SLAC-PUB-1565 (1975).

  7. K. G. Wilson:Phys. Rev. D,3, 1818 (1971).

    Article  MathSciNet  ADS  Google Scholar 

  8. R. F. Dashen, B. Hasslacher andA. Neveu:Phys. Rev. D,10, 4130 (1974).

    Article  ADS  Google Scholar 

  9. R. F. Sawyer:Quantum corrections to a model of quark confinement, LA-UR-75-610 (1975).

  10. A. Chodos, R. L. Jaffe, K. Johnson, C. B. Thorn andV. F. Weisskopf:Phys. Rev. D,9, 3471 (1974).

    Article  MathSciNet  ADS  Google Scholar 

  11. M. Creutz:Phys. Rev. D,10, 1749 (1974);M. Creutz andK. S. Soh:Quark bags and local field theory. — II:Confinement of Fermi and vector fields, BNL-19363 (1974).

    Article  Google Scholar 

  12. M. Creutz:Phys. Rev. D,13, 3432 (1976).

    Article  ADS  Google Scholar 

  13. A. Chodos andA. Klein:Phys. Rev. D,14, 1663 (1976).

    Article  ADS  Google Scholar 

  14. J. Schwinger:Proc. Nat. Acad. Sci.,37, 452 (1951).

    Article  MathSciNet  ADS  Google Scholar 

Download references

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Work supported by the U.S. Energy Research and Development Administration.

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Ward, B.F.L. Strongly coupled field. Nuov Cim A 45, 28–49 (1978). https://doi.org/10.1007/BF02729913

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  • DOI: https://doi.org/10.1007/BF02729913

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