Skip to main content

Monopole solitons

  • 438 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 926)

Keywords

  • Gauge Theory
  • Gauge Group
  • Gauge Transformation
  • Vector Potential
  • Vector Boson

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   34.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   46.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References For reviews, see

  1. S. Coleman, New Phenomena in Subnuclear Physics. Ed. A. Zichichi (New York, Plenum) 1975, 297.

    Google Scholar 

  2. P. Goddard and D. Olive, Reports on Progress in Physics 41 (1978) 1357. Suggestions as to the meaning of the monopole occurred in P. Goddard, J. Nuyts and D. Olive, Nucl. Physics B125 (1979) 1. C. Montonen and D. Olive, Phys. Lett. B728 (1977) 117.

    CrossRef  Google Scholar 

  3. P.A.M. Dirac, Proc. Roy. Soc. A133 (1931) 60. Phys. Rev. 74 (1948) 817.

    CrossRef  Google Scholar 

  4. Y. Aharonov and D. Bohm, Phys. Rev. 123 (1961) 1511.

    CrossRef  MathSciNet  Google Scholar 

  5. T.J. Wu and C.N. Yang, Phys. Rev. D12 (1975) 3845.

    CrossRef  MathSciNet  Google Scholar 

  6. See for example J.C.Taylor, Gauge Theories of Weak Interactions (Cambridge University Press) 1976.

    Google Scholar 

  7. A. Salam, Proc. 8th Nobel Symposium: Elementary particle theory. Ed. N. Svartholm (New York, Wiley) 1968, 337. S. Weinberg, Phys. Rev. Lett. 19 (1967) 1264.

    Google Scholar 

  8. H. Georgi and S.L.Glashow, Phys. Rev. Lett. 32 (1974) 438.

    CrossRef  Google Scholar 

  9. G. ’t Hooft, Nucl. Phys. B79(1974) 276. A.M.Polyakov, JETP Lett. 20 (1974) 194.

    CrossRef  MathSciNet  Google Scholar 

  10. See, for example G.L.Lamb, Elements of Soliton Theory (New York, Wiley) 1980. H.B.Thacker, Rev. Mod. Phys. 53 (1981) 253.

    MATH  Google Scholar 

  11. R.L.Mills and C.N.Yang, Phys. Rev. 96 (1954) 191.

    CrossRef  MathSciNet  Google Scholar 

  12. H. Georgi and S.L.Glashow, Phys. Rev. D6 (1972) 2977.

    Google Scholar 

  13. Yn. S. Tyupkin, V.A.Fateev and A.S.Shwarz, JETP Lett. 21 (1975) 41. M.I.Monastyrskii and A.M.Perelomov, JETP Lett. 21(1975) 43.

    Google Scholar 

  14. J. Arafune, P.G.O.Freund and C.J.Goebel, J. Math. Phys. 16 (1975) 433.

    CrossRef  MathSciNet  Google Scholar 

  15. S. Coleman, Phys. Rev. D11 (1975) 2088. S. Mandelstam, Phys. Rev. D11 (1975) 3026.

    Google Scholar 

  16. See, for example J. Ellis, M.K.Gaillard and D.V.Nanopoulos, Unification of the fundamental particle interactions. Ed. A. Zichichi (Plenum) 1980, 461.

    Google Scholar 

  17. For a compendium, see A.C.Scott, F.Y.F.Chu and D.W.McLaughlin, Proc. IEEE 61(1973) 1443.

    CrossRef  MathSciNet  Google Scholar 

  18. For a review see, for example D. Olive, Rivista del Nuovo Cimento 2 (1979) 1. M.F.Atiyah, Geometry of Yang-Mills Fields, Lezione Fermioni Pisa (1979). E.F.Corrigan and P. Goddard, Lecture Notes in Physics 129. Eds. J.P.Harnad and S. Schnider (Springer-Verlag) 1980.

    CrossRef  MathSciNet  Google Scholar 

  19. E.B.Bogomolny, Sov. J. Nucl. Physics 24 (1976) 449.

    Google Scholar 

  20. M.K.Prasad and C.M.Sommerfield, Phys. Rev. Lett. 35 (1975) 76. S. Coleman, S. Powke, A. Neveu and C.M.Sommerfield, Phys. Rev. D15 (1977) 544.

    CrossRef  Google Scholar 

  21. N.S.Manton, Nucl. Phys. B126 (1977) 525.

    CrossRef  MathSciNet  Google Scholar 

  22. A. Jaffe and C. Taubes, Vortices and Monopoles (Birkhauser, Boston) 1980.

    MATH  Google Scholar 

  23. E. Weinberg, Phys. Rev. D20 (1979) 936.

    Google Scholar 

  24. P. Houston and L. O’Raifeartaigh, Phys. Lett. 93B (1980) 151, 94B (1980) 153.

    CrossRef  MathSciNet  Google Scholar 

  25. P. Forgacs, Z. Horvath and L. Palla, Phys. Lett. B99 (1981) 232. B102 (1981) 131.

    CrossRef  MathSciNet  Google Scholar 

  26. N. Manton, Nucl. Phys. B135 (1978) 319. For a review see, L. O’Raifeartaigh and S. Rouhani, Recent Developments in Finite Energy (Topological) monopole theory, Schladming (1981).

    CrossRef  Google Scholar 

  27. F.J.Ernst, Phys. Rev. 167 (1968) 1175.

    CrossRef  Google Scholar 

  28. B.K.Harrison, Phys. Rev. Lett. 41 (1978) L67. G. Neugebauer, J. Phys. A12 (1979) L67.

    CrossRef  Google Scholar 

  29. See for example, D. Olive, Classical solutions in Gauge Theories-spherically symmetric monopoles-Lax Pairs and Toda Lattices. Lectures given at the International Summer Institute on Theoretical Physics Bad Honnef (1980) (to be published by Plenum). or, more recently, N. Ganoulis, P. Goddard and D. Olive, ’self Dual Monopoles and Toda Molecules’, Imperial College preprint (1981).

    Google Scholar 

  30. C.N.Yang, Phys. Rev. Lett. 39 (1977) 1377.

    CrossRef  Google Scholar 

  31. E.F.Corrigan, D.B.Fairlie, P. Goddard and R. Yates, Comm. Math. Phys. 58 (1978) 2528.

    CrossRef  MathSciNet  Google Scholar 

  32. M.K.Prasad, Comm. Math. Phys. 80 (1981) 137.

    CrossRef  MathSciNet  Google Scholar 

  33. For some more details see E.F.Corrigan, Multimonopoles, Lectures given at the meeting on Integrable quantum field theories, Trarminne, Finland (1981).

    Google Scholar 

  34. R. Hirota, J. Phys. Soc. Japan 35 (1973) 289.

    CrossRef  Google Scholar 

  35. See, for example Advances in Twistor Theory. Eds L.P.Hughston and R.S.Ward (Pitman) 1979.

    Google Scholar 

  36. R.S.Ward, Phys. Lett. 61A (1977) 81.

    CrossRef  Google Scholar 

  37. M.F.Atiyah and R.S.Ward, Comm. Math. Phys. 55 (1977) 117.

    CrossRef  MathSciNet  Google Scholar 

  38. R.S.Ward, Comm. Math. Phys. 79 (1981) 317.

    CrossRef  MathSciNet  Google Scholar 

  39. E.F.Corrigan and P. Goddard, Comm. Math. Phys. 80 (1981) 575.

    CrossRef  MathSciNet  Google Scholar 

  40. M.K.Prasad, A. Sinha and L.L.Chan Wang, Phys. Rev. D23 (1981) 2321. M.K.Prasad and P. Rossi, Phys. Rev. Lett. 46 (1981) 806.

    MathSciNet  Google Scholar 

  41. The separated two monopole was spotted by R.S.Ward, Phys. Lett. B102 (1981) 136, Comm. Math. Phys. 80 (1981) 563.

    CrossRef  MathSciNet  Google Scholar 

  42. W. Nahm, ‘All self dual monopoles for arbitrary gauge groups’ (CERN, preprint 3172). Talk given at the International Summer Institute on Theoretical Physics Freiburg (1981).

    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-Verlag

About this paper

Cite this paper

Corrigan, E.F. (1982). Monopole solitons. In: Martini, R., de Jager, E.M. (eds) Geometric Techniques in Gauge Theories. Lecture Notes in Mathematics, vol 926. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092661

Download citation

  • DOI: https://doi.org/10.1007/BFb0092661

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-11497-0

  • Online ISBN: 978-3-540-39192-0

  • eBook Packages: Springer Book Archive