Exact vortex solutions in an extended Skyrme-Faddeev model

Journal of High Energy Physics

Volumn 2009, Issue 5, 2009, Pages

  Ferreira, L A ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Integrable equations in physics; Integrable field theories; Integrable hierarchies; Solitons monopoles and instantons

Indexed keywords

EID: 67649540795     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2009/05/001     Document Type: Article

References (36)

1. L.D. Faddeev, 1975 Quantization of solitons, Princeton preprint IAS Print-75-QS70
2. 40 Years in Mathematical Physics, World Scientific 1995
3. R.A. Battye and P.M. Sutcliffe, 1998 To be or knot to be?, Phys. Rev. Lett. 81 4798 [hep-th/9808129]
4. J. Hietarinta and P. Salo, 2000 Ground state in the Faddeev-Skyrme model, Phys. Rev. D 62 081701
5. L.D. Faddeev and A.J. Niemi, 1997 Knots and particles, Nature 387 58 [hep-th/9610193]
6. Toroidal configurations as stable solitons, [hep-th/9705176].
7. E. Babaev, L.D. Faddeev and A.J. Niemi, 2002 Hidden symmetry and knot solitons in a charged two- condensate Bose system, Phys. Rev. B 65 100512 [cond-mat/0106152]
8. E. Babaev, 2002 Knotted solitons in triplet superconductors, Phys. Rev. Lett. 88 177002 [cond-mat/0106360]
9. L.D. Faddeev and A.J. Niemi, 1999 Partially dual variables in SU(2) Yang-Mills theory, Phys. Rev. Lett. 82 1624 [hep-th/9807069]
10. Y.M. Cho, 1980 A restricted gauge theory, Phys. Rev. D 21 1080
11. Y.M. Cho, 1981 Extended gauge theory and its mass spectrum, Phys. Rev. D 23 2415
12. L. Dittmann, T. Heinzl and A. Wipf, 2002 A lattice study of the Faddeev-Niemi effective action, Nucl. Phys. Proc. Suppl. 106 649 [hep-lat/0110026]
13. L. Dittmann, T. Heinzl and A. Wipf, 2002 Effective theories of confinement, Nucl. Phys. Proc. Suppl. 108 63 [hep-lat/0111037]
14. L.D. Faddeev, Knots as possible excitations of the quantum Yang-Mills fields, [0805.1624]
15. H. Gies, 2001 Wilsonian effective action for SU(2) Yang-Mills theory with Cho-Faddeev-Niemi-Shabanov decomposition, Phys. Rev. D 63 125023 [hep-th/0102026]
16. J. Gladikowski and M. Hellmund, 1997 Static solitons with non-zero Hopf number, Phys. Rev. D 56 5194 [hep-th/9609035]
17. L.A. Ferreira and A.C. Risério do Bonfim, Self-dual Hopfions, in preparation
18. M. Hirayama, C.-G. Shi and J. Yamashita, 2003 Elliptic solutions of the Skyrme model, Phys. Rev. D 67 105009 [hep-th/0303092]
19. M. Hirayama and C.-G. Shi, 2004 A class of exact solutions of the Faddeev model, Phys. Rev. D 69 045001 [hep-th/0310042]
20. C.-G. Shi and M. Hirayama, 2008 Approximate vortex solution of Faddeev model, Int. J. Mod. Phys. A 23 1361 [0712.4330]
21. J. Hietarinta, J. Jaykka and P. Salo, 2004 Relaxation of twisted vortices in the Faddeev-Skyrme model, Phys. Lett. A 321 324 [cond-mat/0309499]
22. M. Eto, Y. Isozumi, M. Nitta and K. Ohashi, 2006 1/2, 1/4 and 1/8 BPS equations in SUSY Yang-Mills-Higgs systems: field theoretical brane configurations, Nucl. Phys. B 752 140 [hep-th/0506257]
23. M. Eto, Y. Isozumi, M. Nitta, K. Ohashi and N. Sakai, 2006 Solitons in the Higgs phase: the moduli matrix approach, J. Phys. A 39 R315 [hep-th/0602170]
24. O. Alvarez, L.A. Ferreira and J. Sanchez Guillen, 1998 A new approach to integrable theories in any dimension, Nucl. Phys. B 529 689 [hep-th/9710147]
25. H. Aratyn, L.A. Ferreira and A.H. Zimerman, 1999 Toroidal solitons in 3+1 dimensional integrable theories, Phys. Lett. B 456 162 [hep-th/9902141]
26. H. Aratyn, L.A. Ferreira and A.H. Zimerman, 1999 Exact static soliton solutions of 3+1 dimensional integrable theory with nonzero Hopf numbers, Phys. Rev. Lett. 83 1723 [hep-th/9905079]
27. D.B. Fairlie, 2005 Implicit solutions to some Lorentz invariant non-linear equations revisited, J. Nonlinear Math. Phys. 12 449 [math-ph/0412005]
28. 1 model in (2+1)-dimensions, Phys. Lett. b 158 424
29. A.M. Polyakov and A.A. Belavin, 1975 Metastable states of two-dimensional isotropic ferromagnets, JETP Lett. 22 245
30. A.M. Polyakov and A.A. Belavin, 1975 Pisma Zh. Eksp. Teor. Fiz. 22 503
31. R.A. Leese, 1991 Q lumps and their interactions, Nucl. Phys. B 366 283
32. N.S. Manton and P. Sutcliffe, 2004 Topological solitons, Cambridge University Press, Cambridge U.K., pg. 493 http://www.slac.stanford.edu/spires/ find/hep/www?irn=6000355
33. B.M. A.G. Piette, B.J. Schroers and W.J. Zakrzewski, 1995 Multi-solitons in a two-dimensional Skyrme model, Z. Phys. C 65 165 [hep-th/9406160]
34. 3, Eur. Phys. J. C 47 513 [hep-th/0602008]
35. N. Sawado, N. Shiiki and S. Tanaka, 2006 Hopf soliton solutions from low energy effective action of SU(2) Yang-Mills theory, Mod. Phys. Lett. A 21 1189 [hep-ph/0511208]
36. F.V. Gubarev, L. Stodolsky and V.I. Zakharov, 2001 On the significance of the quantity ''A sqared'', Phys. Rev. Lett. 86 2220 [hep-ph/0010057]