Skip to main content

Recent Developments of the Invisible Axion

  • Chapter
Third Workshop on Grand Unification

Part of the book series: Progress in Physics ((PMP,volume 6))

  • 156 Accesses

Abstract

Although the weak interactions violate the CP invariance in various ways, the strong interactions seem to conserve it very accurately. However, it has been known that the QCD vacuum effectively adds a CP-nonconserving piece to the Lagrangian1

$${L}_{\theta }^ - = {\bar \theta }\frac{{{g}^{2} }}{{64{\pi }^2 }}{\varepsilon }_{{\mu \nu \rho \sigma }} {G}^{{a\mu \nu }} {G}^{{a\rho \sigma }} $$
(1)

where \({\bar \theta }\;{ = }\;{\theta }\;{ + }\) arg Det M. The strong CP problem has been to set \({|\bar \theta |}\;{ < }\;{10}^{ - {8}} - 10^{ - 9} \) not to upset the observed upper limit on the neutron electric dipole moment2.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. A. Belavin et al., Phys. Lett. 59B, 85(1975);

    MathSciNet  ADS  Google Scholar 

  2. G. T. Hooft, Phys. Rev. D14, 3432(1976);

    ADS  Google Scholar 

  3. R. Jackiw and C. Rebbi, Phys. Rev. Lett. 37, 172(1976);

    Article  ADS  Google Scholar 

  4. C.G. Callan, R.F. Dashen and D. Gross, Phys. Lett. 63B, 334(1976).

    ADS  Google Scholar 

  5. N. Ramsay quotes dn < 6 ´ 10−25 e cm (private conversation). He expects to lower the bound to 10−27 e cm in two years.

    Google Scholar 

  6. P. Langacker and H. Pagels, Phys. Rev. D19, 2070(1979).

    ADS  Google Scholar 

  7. S. Weinberg, Phys. Rev. Lett. 40, 223(1978);

    Article  ADS  Google Scholar 

  8. F. Wilczek, Phys. Rev. Lett. 40, 279(1978).

    Article  ADS  Google Scholar 

  9. J.E. Kim, ICTP preprint 10/81/123(1981).

    Google Scholar 

  10. R.D. Peccei, Proc. 19th International Conference on High Energy Physics, ed. S. Homman et al. (Phys. Society of Japan, Tokyo, 1979), p.385;

    Google Scholar 

  11. C. Edwards et al., Phys. Rev. Lett. 48, 903(1982).

    Article  ADS  Google Scholar 

  12. S.-H. H. Tye, Phys. Rev. Lett. 47, 1035(1981).

    Article  ADS  Google Scholar 

  13. J.E. Kim, Phys. Rev. Lett. 43, 103(1979).

    Article  ADS  Google Scholar 

  14. M.A. Shifman, A.I. Vainshtein, and V.I. Zakharov, Nucl. Phys. B166, 493(1980).

    Article  MathSciNet  ADS  Google Scholar 

  15. M. Dine, W. Fischler, and M. Srednicki, Phys. Lett. 104B, 199(1981).

    ADS  Google Scholar 

  16. M.B. Wise, H. Georgi, and S.L. Glashow, Phys. Rev. Lett. 47, 402 (1981).

    Article  ADS  Google Scholar 

  17. J. Ellis, M.K. Gaillard, D.V. Nanopoulos, and S. Rudaz, Phys. Lett. 106B, 298(1981).

    ADS  Google Scholar 

  18. H.P. Nilles and S. Raby, SLAC-Pub-2743(1981).

    Google Scholar 

  19. R. Barbieri, R.N. Mohapatra, D.V. Nanopoulos, and D. Wyler, Phys. Lett. 107B, 80(1981).

    ADS  Google Scholar 

  20. P.H. Frampton, Phys. Rev. D25, 294(1982).

    ADS  Google Scholar 

  21. S.P. De Alwis and P.H. Frampton, Phys. Rev. D24, 3345(1981).

    ADS  Google Scholar 

  22. A. Davidson and K.C. Wali, Phys. Rev. Lett. 48, 11(1982).

    Article  ADS  Google Scholar 

  23. R. Barbieri, D.V. Nanopoulos, and D. Wyler, Phys. Lett. 106B, 303 (1981).

    ADS  Google Scholar 

  24. H. Georgi, L.J. Hall, and M.B. Wise, Nucl. Phys. B192, 409(1981).

    Article  ADS  Google Scholar 

  25. J.E. Kim, Phys. Rev. D24, 3007(1981).

    ADS  Google Scholar 

  26. M. Claudson, P.H. Cox, and A. Yildiz, Phys. Rev. Lett. 47, 1698 (1981).

    Article  MathSciNet  ADS  Google Scholar 

  27. P.H. Frampton and T.W. Kephart, Univ. of North Carolina Preprint UNC-164(1981); P.H. Frampton, T.W. Kephart, Y.J. Ng, and H. Van Dam, IFP 167-UNC(1981).

    Google Scholar 

  28. K. Kang, I-G Koh, and S. Ouvry, Brown-HET-472(1982).

    Google Scholar 

  29. D.A. Dicus, E.W. Kolb, V.L. Teplitz, and R.W. Wagoner, Phys. Rev. D22, 839(1980); V.L. Teplitz, private conversation at the Coral Gables meeting, Jan., 1980.

    ADS  Google Scholar 

  30. Y. Chikashige, R.N. Mohapatra, and R.D. Peccei, Phys. Rev. Lett. 45, 1926 (1980).

    Article  ADS  Google Scholar 

  31. J. Collins, F. Wilczek, and A. Zee, Phys. Rev. D18, 242(1978).

    ADS  Google Scholar 

  32. W.A. Bardeen and S.-H. H. Tye, Phys. Lett. 74B, 229(1978).

    ADS  Google Scholar 

  33. M. Fukugita, S. Watamura, and M. Yoshimura, KEK preprint KEK-TH 40 (1982).

    Google Scholar 

  34. D.B. Reiss, Univ. Washington preprint 40048–82-PT7 (1981).

    Google Scholar 

  35. R.N. Mohapatra and G. Senjanovic, CCNY and Brookhaven preprint (1982).

    Google Scholar 

  36. S. Watamura and M. Yoshimura, Preprint KEK-TH 36 (1981).

    Google Scholar 

  37. M. Yoshimura, in Proc. 4th Kyoto Summer Institute, ed. M. Konuma and T. Maskawa (World Science Publishing Co., Singapore, 1981), p.235.

    Google Scholar 

  38. S.M. Barr, G. Segre, and A. Weldon, Phys. Rev. D20, 2494(1979);

    ADS  Google Scholar 

  39. D. V. Nanopoulos and S. Weinberg, Phys. Rev. D20, 2454(1979);

    ADS  Google Scholar 

  40. A. Yildiz and P. Cox, Phys. Rev. D21, 906(1980).

    ADS  Google Scholar 

  41. See, also, R. Barbieri, R.N. Mohapatra, D.V. Nanopoulos, and D. Wyler, Phys. Lett. 107B, 80(1981); A. Masiero and G. Segre, to be published.

    ADS  Google Scholar 

  42. P. Sickivie, Phys. Rev. Lett. 48, 1156(1982).

    Article  ADS  Google Scholar 

  43. G. Harvey, private conversation.

    Google Scholar 

  44. H. Georgi, Nucl. Phys. B156, 126(1979).

    Article  MathSciNet  ADS  Google Scholar 

  45. W. Marciano and A. Sirlin, Phys. Rev. Lett. 46 163(1981).

    Article  ADS  Google Scholar 

  46. E. Witten, Phys. Lett. 90B, 81(1980).

    ADS  Google Scholar 

  47. D. Silverman and A. Soni, Phys. Rev. Lett. 46, 467(1981).

    Article  ADS  Google Scholar 

  48. A. Zee, Phys. Rev. Lett. 42, 417(1979); S. Adler, Rev. Mod. Phys., July 1 (1982).

    Article  ADS  Google Scholar 

  49. J.E. Kim, Phys. Lett. 107B, 69(1981).

    ADS  Google Scholar 

  50. For a supersymmetric SU(11), see, S.P. De Alwis and J.E. Kim, to be published in Z. Phys. C. (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1982 Springer Science+Business Media New York

About this chapter

Cite this chapter

Kim, J.E. (1982). Recent Developments of the Invisible Axion. In: Frampton, P.H., Glashow, S.L., van Dam, H. (eds) Third Workshop on Grand Unification. Progress in Physics, vol 6. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-5800-1_23

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-5800-1_23

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-0-8176-3105-5

  • Online ISBN: 978-1-4612-5800-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics