Knotted configurations with arbitrary Hopf index from the eikonal equation

European Physical Journal C

Volumn 42, Issue 4, 2005, Pages 461-473

  Wereszczynski A ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23944479943     PISSN: 14346044     EISSN: None     Source Type: Journal    
DOI: 10.1140/epjc/s2005-02300-4     Document Type: Article

References (65)

1. T.T. Wu, C.N. Yang, in Properties of Matter Under Unusual Conditions, edited by H. Mark, S. Fernbach (Interscience, New York 1969)
2. G. 't Hooft, Nucl. Phys. B 79, 276 (1974);
3. G. 't Hooft, Nucl. Phys. B 153, 141 (1979);
4. A. Polyakov, Nucl. Phys. B 120, 429 (1977)
5. A. Vilenkin, P.E.S. Shellard, Cosmic strings and other topological defects (Cambridge University Press 2000);
6. M.B. Hindmarsh, T.W. Kibble, Rept. Prog. Phys. 58, 477 (1995);
7. T.W. Kibble, Acta Phys. Pol. B 13, 723 (1982);
8. Phys. Rep. 67, 183 (1980);
9. W.H. Zurek, Nature 317, 505 (1985)
10. T.W. Kibble, in Patterns of Symmetry Breaking, edited by H. Arodź, J. Dziarmaga, W.H. Zurek, NATO Science Series (2003);
11. M. Sakallariadou, NATO Science Series (2003) ibidem;
12. A.C. Davis, NATO Science Series (2003) ibidem
13. 3He (World Scientific, Singapore 1992)
14. R. J. Donnelly, Quantized vortices in helium II (Cambridge University Press 1991)
15. L. Faddeev, in 40 Years in Mathematical Physics (World Scientific, Singapore 1995)
16. L. Faddeev, A. Niemi, Nature 387, 58 (1997);
17. Phys. Rev. Lett. 82, 1624 (1999);
18. E. Langmann, A. Niemi, Phys. Lett. B 463, 252 (1999)
19. Y.M. Cho, Phys. Rev. D 21, 1080 (1980);
20. Y.M. Cho, Phys. Rev. D 23, 2415 (1981);
21. Y.M. Cho, Phys. Rev. D 46, 302 (1981);
22. Y.M. Cho, Phys. Rev. D 87, 252001 (2001);
23. Y.M. Cho, H.W. Lee, D.G. Pak, Phys. Lett. B 525, 347 (2002);
24. W.S. Bae, Y.M. Cho, S.W. Kimm, Phys. Rev. D 65, 025005 (2002);
25. Y.M. Cho, Phys. Lett. B 603, 88 (2004)
26. S.V. Shabanov, Phys. Lett. B 463, 263 (1999);
27. S.V. Shabanov, Phys. Lett. B 458, 322 (1999)
28. K.-I. Kondo, T. Murakami, T. Shinohara, hep-th/0504107;
29. K.-I. Kondo, Phys. Lett. B 600, 287 (2004)
30. J. Gladikowski, M. Hellmund, Phys. Rev. D 56, 5194 (1997)
31. R.A. Battye, P.M. Sutcliffe, Phys. Rev. Lett. 81, 4798 (1998);
32. Proc. Roy. Soc. Lond. A 455, 4305 (1999)
33. J. Hietarinta, P. Salo, Phys. Lett. B 451, 60 (1999);
34. Phys. Rev. D 62, 81701 (2000)
35. R.S. Ward, Phys. Lett. B 473, 291 (2000);
36. Nonlinearity 12, 241 (1999);
37. Phys. Rev. D 70, 061701 (2004)
38. D.A. Nicole, J. Phys. G 4, 1363 (1978)
39. H. Aratyn, L.A. Ferreira, A.M. Zimerman, Phys. Lett. B 456, 162 (1999);
40. Phys. Rev. Lett. 83, 1723 (1999)
41. A. Wereszczyński, Eur. Phys. J. C 38, 261 (2004)
42. A. Wereszczyński, Mod. Phys. Lett. A 19, 2569 (2004);
43. Acta Phys. Pol. B 35, 2367 (2004)
44. G.H. Derrick, J. Math. Phys. 5, 1252 (1964)
45. S. Deser, M.J. Duff, C.J. Isham, Nucl. Phys. B 114, 29 (1977)
46. C. Adam, J. Math. Phys. 45, 4017 (2004)
47. A.F. Vakulenko, L.V. Kapitansky, Sov. Phys. Dokl. 24, 432 (1979)
48. O. Alvarez, L.A. Ferreira, J. Sánchez-Guillén, Nucl. Phys. B 529, 689 (1998)
49. O. Babelon, L.A. Ferreira, JHEP 0211, 020 (2002)
50. J. Sánchez-Guillén, Phys. Lett. B 548, 252 (2002); Erratum B 550, 220 (2002);
51. J. Sánchez-Guillén, L.A. Ferreira, in Sao Paulo 2002, Integrable theories, solitons and duality, unesp2002/033, hep-th/0211277
52. C. Adam, J. Sánchez-Guillén, J. Math. Phys. 44, 5243 (2003)
53. R.S. Ward, Nonlinearity 14, 1543 (2001)
54. A.E. Kudryavtsev, B.M.A.G. Piette, W.J. Zakrzewski, Nonlinearity 11, 783 (1998);
55. T.I. Ioannidou, V.B. Kopeliovich, W.J. Zakrzewski, JHEP 95, 572 (2002)
56. T.H.R. Skyrme, Proc. Roy. Soc. Lon. 260, 127 (1961)
57. R.A. Battye, P.M. Sutcliffe, Phys. Rev. Lett. 79, 363 (1997);
58. C.J. Houghton, N.S. Manton, P. Sutcliffe, Nucl. Phys. B 510, 507 (1998)
59. L. Faddeev, A. Niemi, Phys. Lett. B 525, 195 (2002)
60. L. Dittmann, T. Heinzl, A. Wipf, Nucl. Phys. B (Proc. Suppl.) 106, 649 (2002);
61. L. Dittmann, T. Heinzl, A. Wipf, Nucl. Phys. B (Proc. Suppl.) 108, 63 (2002)
62. A. Wereszczyński, M. Ślusarczyk, Eur. Phys. J. C 39, 185 (2005)
63. V. Dzhunushaliev, D. Singleton, T. Nikulicheva, hep-ph/0402205;
64. V. Dzhunushaliev, hep-ph/0312289
65. D. Bazeia, M.J. dod Santos, R.F. Ribeiro, Phys. Lett. A 18, 84 (1995)