Skip to main content
Log in

Gauge Formulation for Two Potential Theory of Dyons

  • Published:
International Journal of Theoretical Physics Aims and scope Submit manuscript

Abstract

Dual electrodynamics and corresponding Maxwell’s equations (in the presence of monopole only) are revisited from the symmetry of duality and gauge invariance. Accordingly, the manifestly covariant, dual symmetric and gauge invariant two potential theory of generalized electromagnetic fields of dyons has been developed consistently from U(1)×U(1) gauge symmetry. Corresponding field equations and equation of motion are derived from Lagrangian formulation adopted for U(1)×U(1) gauge symmetry for the justification of two four potentials of dyons.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Dirac, P.A.M.: Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 133, 60 (1931)

    Article  ADS  Google Scholar 

  2. Dirac, P.A.M.: Phys. Rev. 74, 817 (1948)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  3. Schwinger, J.: Phys. Rev. 144, 1087 (1966)

    Article  ADS  MathSciNet  Google Scholar 

  4. Schwinger, J.: Phys. Rev. 151, 1055 (1966). Phys. Rev. 151, 1048 (1966)

    Article  ADS  MathSciNet  Google Scholar 

  5. Schwinger, J.: Science 165, 757 (1969)

    Article  ADS  Google Scholar 

  6. Zwanziger, D.: Phys. Rev. B 137, 647 (1965)

    Article  ADS  MathSciNet  Google Scholar 

  7. Zwanziger, D.: Phys. Rev. 176, 1489 (1968)

    Article  ADS  Google Scholar 

  8. ’t Hooft, G.: Nucl. Phys. B 79, 276 (1974)

    Article  ADS  MathSciNet  Google Scholar 

  9. ’t Hooft, G.: Nucl. Phys. B 138  1 (1978)

    Article  ADS  MathSciNet  Google Scholar 

  10. Polyakov, A.M.: JETP Lett. 20, 194 (1974)

    ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  12. Craigie, N.: Theory and Detection of Magnetic Monopoles in Gauge Theories. World Scientific, Singapore (1986)

    Google Scholar 

  13. Witten, E.: Phys. Lett. B 86, 283 (1979)

    Article  ADS  Google Scholar 

  14. Preskill, J.: Phys. Rev. 43, 1365 (1979)

    ADS  Google Scholar 

  15. Preskill, J.: Magnetic monopoles. Annu. Rev. Nucl. Part. Sci. 34, 461 (1984)

    Article  ADS  Google Scholar 

  16. Konishi, K.: The magnetic monopole seventy-five years later. arXiv:hep-th/0702102

  17. Bais, F.A.: To be or not to be? Magnetic monopoles in non-Abelian Gauge theories. arXiv:hep-th/0407197

  18. Goddard, P., Olive, D.I.: Rep. Prog. Phys. 41, 1357 (1978)

    Article  ADS  Google Scholar 

  19. Mignaco, J.A.: Braz. J. Phys. 31, 235 (2001)

    Article  Google Scholar 

  20. Sieberg, N., Witten, E.: Nucl. Phys. B 246, 19 (1994)

    Article  ADS  Google Scholar 

  21. Sieberg, N., Witten, E.: Nucl. Phys. B 431, 484 (1994)

    Article  ADS  Google Scholar 

  22. Intriligator, K., Seiberg, N.: Nucl. Phys. B, Proc. Suppl. 45, 1–28 (1996). hep-th/9509066

    Article  ADS  MathSciNet  Google Scholar 

  23. Ketov, S.V.: Solitons, monopoles & dualities. arXiv:hep-th/9611209

  24. Olive, D.I.: Exact electromagnetic duality. arXiv:hep-th/9508089

  25. Alvarez-Gaume, L., Hasan, S.F.: Fortschr. Phys. 45, 159 (1997). arXiv:hep-th/9701069

    Article  MATH  MathSciNet  Google Scholar 

  26. Kiritsis, E.: Supersymmetry and duality in field theory and string theory. arXiv:hep-th/9911525

  27. Figueroa-O’Farril, J.M.: Electromagnetic duality for children. arXiv:hep-th/9710082

  28. Harvey, J.A.: Magnetic monopoles, duality and supersymmetry. arXiv:hep-th/9603086

  29. Kapustin, A., Witten, E.: Electric-magnetic duality and the geometric lang lands program. arXiv:hep-th/0604151

  30. Vecchia, P.D.: Duality in supersymmetric gauge theories. arXiv:hep-th/9608090

  31. Price, P.B., Shirk, E.K., Osborne, W.Z., Pinsky, L.S.: Phys. Rev. Lett. 35, 487 (1975)

    Article  ADS  Google Scholar 

  32. Cabrera, B: Phys. Rev. Lett. 48, 1378 (1982)

    Article  ADS  Google Scholar 

  33. Giacomelli, G., Patrizii, L.: Magnetic monopole searches. arXiv:hep-ex/0302011

  34. Zhang, S., et al.: Science 294, 823 (2001)

    Article  ADS  Google Scholar 

  35. Zhang, S., et al.: Science 301, 1348 (2003)

    Article  ADS  Google Scholar 

  36. Zhang, S., et al.: Phys. Rev. B 69, 235206 (2004)

    Article  ADS  Google Scholar 

  37. Zhang, S., et al.: Phys. Rev. Lett. 93, 156804 (2004)

    Article  ADS  Google Scholar 

  38. Sondhi, S.: Nature 461, 888 (2009)

    Article  ADS  Google Scholar 

  39. Mössner, R., Schiffer, P.: Nat. Phys. 5, 250 (2009)

    Article  Google Scholar 

  40. Castelnovo, C., Mössner, R., Sondhi, S.: Nature 451, 42 (2007)

    Article  ADS  Google Scholar 

  41. Bisht, P.S., Negi, O.P.S.: Int. J. Theor. Phys. 47, 3108 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  42. Baker, M., Ball, J.S., Zachariasen, F.: Classical electrodynamics with dual potentials. hep-th/9403169

  43. Cardoso de Mello, P.C.R., Carneiro, S., Nemes, M.C.: Phys. Lett. B 384, 197 (1996). hep-th/9609218

    Article  ADS  MathSciNet  Google Scholar 

  44. Drummond, P.D.: J. Phys. B, At. Mol. Opt. Phys. 39, 573 (2006)

    Article  ADS  MathSciNet  Google Scholar 

  45. Drummond, P.D.: Phys. Rev. A 60, R3331 (1999)

    Article  ADS  MathSciNet  Google Scholar 

  46. Cabibbo, N., Ferrari, E.: Nuovo Cimento 23, 1147 (1962)

    Article  MathSciNet  Google Scholar 

  47. Nisbet, A.: Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 231, 250 (1955)

    Article  ADS  MATH  MathSciNet  Google Scholar 

  48. Singleton, D.: Am. J. Phys. 64, 452 (1996)

    Article  ADS  Google Scholar 

  49. Singleton, D.: Int. J. Theor. Phys. 34, 37 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  50. Singleton, D.: Int. J. Theor. Phys. 35, 2419 (1996)

    Article  MATH  Google Scholar 

  51. Li, K., Naón, C.M.: Mod. Phys. Lett. A, 16, 1671 (2001)

    Article  ADS  MATH  Google Scholar 

  52. Rajput, B.S., Joshi, D.C.: Hadron. J. 4, 1805 (1981)

    Google Scholar 

  53. Rajput, B.S., Joshi, D.C.: Pramana (India) 15, 153 (1980)

    Article  ADS  Google Scholar 

  54. Bisht, P.S., Negi, O.P.S., Rajput, B.S.: Nuovo Cimento 104, 337 (1991)

    Article  ADS  Google Scholar 

  55. Bisht, P.S., Negi, O.P.S., Rajput, B.S.: Prog. Theor. Phys. 85, 157 (1991)

    Article  ADS  Google Scholar 

  56. Bisht, P.S., Negi, O.P.S., Rajput, B.S.: Int. J. Theor. Phys. 32, 2099 (1993)

    Article  MathSciNet  Google Scholar 

  57. Bisht, P.S., Negi, O.P.S., Rajput, B.S.: Int. J. Theor. Phys. 32, 2099 (1993)

    Article  MathSciNet  Google Scholar 

  58. Bisht, S., Bisht, P.S., Negi, O.P.S.: Nuovo Cimento B 113, 1449 (1998)

    ADS  MathSciNet  Google Scholar 

  59. Dehnen, H., Negi, O.P.S.: Electromagnetic duality, quaternion and supersymmetric gauge theories of dyons. hep-th/0608164

  60. Dehnen, H., Ghaboussi, F.: Nucl. Phys. B 262, 144 (1985)

    Article  ADS  Google Scholar 

  61. Dehnen, H., Ghaboussi, F., Frommert, H.: Int. J. Theor. Phys. 27, 567 (1988)

    Article  MATH  Google Scholar 

  62. Dehnen, H., Hitzer, E.: Int. J. Theor. Phys. 34, 1981 (1995)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to O. P. S. Negi.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Negi, O.P.S., Dehnen, H. Gauge Formulation for Two Potential Theory of Dyons. Int J Theor Phys 50, 2446–2459 (2011). https://doi.org/10.1007/s10773-011-0733-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10773-011-0733-y

Keywords

Navigation