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Dynamical flavorSU(2) breaking in quantum chromodynamics

Динамическое нарущениеSU(2) симметрии аромата в квантовой хромодинамике

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Il Nuovo Cimento A (1965-1970)

Summary

We show that the dynamical breakdown of flavorSU(2) symmetry does not take place in quantum chromodynamics, thus confirming an assertion of Vafa and Witten. Our conclusion is also consistent with the conventional belief that symmetries are dynamically broken and nonchiral vectorlike symmetries are not realized as spontaneously broken symmetries.

Riassunto

Si mostra che la rottura dinamica della simmetriaSU(2) di sapore non avviene nella cromodinamica quantistica, confermando cosí un’asserzione di Vafa e Witten. La nostra conclusione è anche coerente con l’opinione convenzionale secondo cui le simmetrie chirali sono infrante dinamicamente e le simmetrie di tipo vettoriale non chirali non sono realizzate come simmetrie infrante spontaneamente.

Реэюме

Мы покаэываем, что в квантовой хромодинамике не происходит динамическое нарущениеSU(2) симметрии аромата. Этот реэультат подтверждает вывод Вафа и Виттена. Нащ вывод согласуется с обшепринятым мнением, что киральные симметрии являются динамически нарущенными и некиральные векторно-подобные симметрии не реалиэуются как спонтанно нарущенные симметрии.

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References

  1. For a review of QCD, seeW. Marciano andH. Pagels:Phys. Rep. C,36, 137 (1978).

    Article  ADS  Google Scholar 

  2. G. ’T Hooft:Lecture at the Cargese Summer Institute (1979), unpublished.

  3. J. Preskill andS. Weinberg:Phys. Rev. D,24, 1059 (1981).

    Article  ADS  Google Scholar 

  4. D. Weingarten:Phys. Rev. Lett.,51, 1830 (1983); other references cited therein.

    Article  ADS  Google Scholar 

  5. M. Peskin:Nucl. Phys. B,175, 197 (1980).

    Article  ADS  Google Scholar 

  6. C. Vafa andE. Witten:Nucl. Phys. B,234, 173 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  7. R. Acharya andP. Narayana Swamy:Nuovo Cimento A,98, 773 (1987).

    Article  ADS  Google Scholar 

  8. S. Mandelstam:Phys. Rev. D,20, 3223 (1979).

    Article  ADS  Google Scholar 

  9. S. Pokorski:Gauge Field Theories (Cambridge University Press, 1987), p. 249.

  10. H. Pagels andS. Stokar:Phys. Rev. D,20, 2947 (1979).

    Article  ADS  Google Scholar 

  11. J. Cornwall:Phys. Rev. D,26, 1453 (1982).

    Article  ADS  Google Scholar 

  12. K. Johnson andM. Baker:Phys. Rev. D,8, 1110 (1973); and references cited therein.

    Article  ADS  Google Scholar 

  13. J. King:Phys. Rev. D,27, 1821 (1983).

    Article  ADS  Google Scholar 

  14. J. Ball andT. Chiu:Phys. Rev. D,22, 2542 (1980).

    Article  ADS  Google Scholar 

  15. See alsoJ. Ball inWorkshop on Nonperturbative Quantum Chromodynamics, edited byK. Milton andM. Samuel (Birkhauser Publ. Co., Boston, Mass., 1983).

    Google Scholar 

  16. R. Acharya andP. Narayana Swamy:Nuovo Cimento A,95, 229 (1986).

    Article  ADS  Google Scholar 

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Acharya, R., Swamy, P.N. Dynamical flavorSU(2) breaking in quantum chromodynamics. Nuov Cim A 102, 747–756 (1989). https://doi.org/10.1007/BF02730747

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