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Exact dyon solutions inSU 3 gauge theory

Точные дионные решения вSU 3 калибробочной теории

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Il Nuovo Cimento A (1965-1970)

Summary

Two exact finite-energy monopole and dyon solutions are found in anSU 3 gauge theory broken down in the case of one solution toU 1×U 1 and in the case of the other toU 2 via Higgs scalar fields. One of them is an embedding ofO 3 intoSU 3, but the other is a genuine irreducibleSU 3 solution. Both solutions are stable.

Riassunto

Si trovano due soluzioni esatte ad energia finita del monopolo e del duone in una teoria di gaugeSU 3 infinita nel caso di una soluzione aU 1×U 1 e nel caso dell'altra soluzione aU 2 per mezzo di campi scalari di Higgs. Una di queste è un'inclusione diO 3 inSU 3, ma l'altra è un'autentica soluzione irriducibileSU 3. Entrambe le soluzioni sono stabili.

Резюме

Определяются два точные монопольное и дионное решения при конечных чнергиях вSU 3 калибровочной теории, нарушенной в случае одного решения доU 1U 1 и в случае другого доU 2 через скалярные поля Хиггса. Одно из них представляет внедрениеO 3 вSU 3, но другое представляет истинное неприводимое решениеSU 3. Оба решения являются устойчивыми.

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References

  1. G. 't Hooft:Nucl. Phys.,79 B, 276 (1976).

    Google Scholar 

  2. A. M. Polyakov:Pis'ma Žurn. Ėksp. Teor. Fiz.,20, 430 (1974) (English translation:Sov. Phys. JETP Lett.,20, 194 (1974)).

    Google Scholar 

  3. R. Dashen, B. Hasslacher andA. Neveu:Phys. Rev. D,10, 4114, 4130, 4138 (1974).

    Article  ADS  Google Scholar 

  4. J. Goldstone andR. Jackiw:Phys. Rev. D,11, 1486 (1975).

    Article  ADS  Google Scholar 

  5. A. Patrascioiu:Phys. Rev. D,12, 523 (1975).

    Article  ADS  Google Scholar 

  6. W. Marciano andH. Pagels:Phys. Rev. D,12, 1093 (1975);15, 1044 (1977).

    Article  ADS  Google Scholar 

  7. A. Chakrabarti:Ann. Inst. H. Poincaré,13, 235 (1975).

    Google Scholar 

  8. E. Corrigan, D. I. Olive, D. B. Fairle andJ. Nuyts:Nucl. Phys.,106 B, 475 (1976).

    Article  ADS  Google Scholar 

  9. L. Jacobs:Phys. Rev. D,14, 2739 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  10. Z. Horvath andL. Palla:Phys. Rev. D,14, 1711 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  11. Z. Horvath andL. Palla:Nucl. Phys.,116 B, 500 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  12. A. Sinha:Phys. Rev. D,14, 2016 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  13. Yu. S. Tyupkin, V. A. Fateev andA. S. Shvarts:Teor. Mat. Fiz.,26, 397 (1976) (English translation:Theor. Math. Phys.,26, 270 (1977)).

    Article  Google Scholar 

  14. T. Dereli andL. J. Swank: Yale preprint COO-3075-137 (unpublished).

  15. D. Toussaint andF. Wilczek: princeton report (unpublished).

  16. F. Bais andJ. Primack:Nucl. Phys.,123 B, 253 (1977).

    Article  ADS  Google Scholar 

  17. S. A. Goldhaber andD. Wilkinson:Nucl. Phys.,114 B, 317 (1976).

    Article  MathSciNet  ADS  Google Scholar 

  18. D. Wilkinson:Nucl. Phys.,125 B, 423 (1977).

    Article  ADS  Google Scholar 

  19. D. Wilkinson andS. A. Goldhaber:Phys. Rev. D,16, 1221 (1977).

    Article  ADS  Google Scholar 

  20. J. H. Rawnsley andD. H. Thrakian:J. Phys. A,10, L 87 (1977).

    Article  ADS  Google Scholar 

  21. Ilmun Ju:Phys. Rev. D,17, 1637 (1978).

    Article  ADS  Google Scholar 

  22. J. Arafune, P. G. O. Freund andC. J. Goebel:Journ. Math. Phys.,16, 433 (1975).

    Article  MathSciNet  ADS  Google Scholar 

  23. P. A. M. Dirac:Proc. Roy. Soc.,133A, 60 (1931);Phys. Rev.,74, 817 (1948).

    Article  ADS  Google Scholar 

  24. E. B. Bogomol'nyi:Yad. Fiz.,24, 861 (1976) (English translation:Sov. Journ. Nucl. Phys.,24, 449 (1976)).

    MathSciNet  Google Scholar 

  25. S. Coleman, S. Parke, A. Neveu andC. M. Sommerfield:Phys. Rev. D,15, 544 (1977).

    Article  ADS  Google Scholar 

  26. M. K. Prasad andC. M. Sommerfield:Phys. Rev. Lett.,35, 760 (1975).

    Article  ADS  Google Scholar 

  27. Yu. S. Tyupkin, V. A. Fateev andA. S. Shvarts:Pis'ma Žurn. Ėksp. Theor. Fiz.,21, 91 (1975) (English translation:Sov. Phys. JETP. Lett.,21, 42 (1975)).

    Google Scholar 

  28. M. Gell-Mann andY. Ne'eman:The Eightfold Way (New York, N. Y., 1964).

  29. B. Julia andA. Zee:Phys. Rev. D,11, 2227 (1975).

    Article  ADS  Google Scholar 

  30. S. Coleman:Classical lumps and their quantum descendants, inLectures at the 1975 International School of Subnuclear Physics «Ettore Majorana».

  31. P. Goddard andD. I. Olive:New developments in the theory of magnetic monopoles, CERN report TH 2445 (1977).

  32. S. Adler andR. Dashen:Current Algebras and Applications to Particle Physics (New York, N. Y., 1968).

  33. C. Meyers, M. de Roo andP. Sorba: CERN preprints TH 2465 (1978) and TH 2562 (1978).

  34. E. Kamke:Differentialgleichungen Lösungsmethoden und Lösungen, Bd.1 (Bronx, N. Y., 1948), p. 440.

    Google Scholar 

  35. M. Abramowitz andI. Stegun (Editors):Handbook of Mathematical Functions (New York, N. Y., 1972).

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Kyriakopoulos, E. Exact dyon solutions inSU 3 gauge theory. Nuov Cim A 52, 23–52 (1979). https://doi.org/10.1007/BF02774939

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