Lump dynamics in the ℂP1 model on the torus

Communications in Mathematical Physics

Volumn 194, Issue 3, 1998, Pages 513-539

  Speight, J M ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000783367     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050367     Document Type: Article

References (29)

1. Atiyah M.F., Hitchin, N.J.: The Geometry and Dynamics of Magnetic Monopoles. Princeton NJ: Princeton University Press, Princeton 1988
2. Beardon, A.F.: A Primer on Riemann Surfaces Cambridge: Cambridge University Press, 1984, p. 89
3. Beardon, A.F.: op. cit., (p. 81)
4. Belavin, A.A., Polyakov, A.M.: Metatstable states of two-dimensional isotropic ferromagnets. JETP Lett. 22, 245-247 (1975)
5. Choquet-Bruhat, Y., DeWitt-Morette, C., Dillard-Bleick, M.: Analysis, Manifolds and Physics, Part I. Amsterdam: North-Holland, 1982, p. 13
6. Choquet-Bruhat, Y., DeWitt-Morette, C., Dillard-Bleick, M.: op. cit., (p. 43)
7. Cova, R.J., Zakrzewski, Z.J.: Soliton scattering in the O(3) model on a torus. Preprint hep-th/9706166 (1997)
8. Du Val, P.: Elliptic Functions and Elliptic Curves. Cambridge: Cambridge University Press, 1973, p. 13
9. Gallot, S., Hulin, D., Lafontaine, J.: Riemannian Geometry. Berlin: Springer-Verlag, 1987 p. 13
10. Gallot, S., Hulin, D., Lafontaine, J.: op. cit., (p. 58)
11. Guillemin, V., Pollack, A.: Differential Topology. Englewood Cliffs NJ: Prentice-Hall, 1974, p. 146
12. Hitchin, N.J., Manton, N.S., Murray, M.K.: Symmetric monopoles. Nonlinearity 8, 661-692 (1995)
13. Knopp, K.: Theory of Functions, Part 2. New York: Dover, 1947. p. 77
14. Knopp, K.: op. cit., pp. 86-91
15. Lawden, D.F.: Elliptic Functions and Applications (Chap. 6). New York: Springer-Verlag, 1989
16. 1 model. Nucl. Phys. B344, 33-72 (1990)
17. Manton, N.S.: A remark on the scattering of BPS monopoles. Phys. Lett. 110B, 54-56 (1982)
18. Myers, E., Rebbi C., Strilka, R.: Study of the interaction and scattering of vortices in the abelian Higgs (or Ginzburg-Landau) model. Phys. Rev. D45, 1355-1364 (1992)
19. Penrose, R., Rindler, W.: Spinors and space-time. Vol. I. Cambridge: Cambridge University Press, 1984 pp. 18-21
20. 1 model on the torus. Nucl. Phys. B211, 447-464 (1983)
21. 1 model on a compcat Riemann surface. To appear in Lett. Math. Phys.
22. Samols, T.M.: Vortex scattering. Commun. Math. Phys. 145, 149-179 (1992)
23. Schwerdtfeger, H.: Geometry of Complex Numbers. New York: Dover, 1979, p. 41
24. 1 lump on the sphere. J. Math. Phys. 36, 796-813 (1995)
25. Strachan, I.A.B.: Low-velocity scattering of vortices in a modified Abelian Higgs model. J. Math. Phys. 33, 102-110 (1992)
26. Stuart, D.: Dynamics of abelian Higgs vortices in the near Bogomolny regime. Commun. Math. Phys. 159, 51-91 (1994)
27. Thurston, W.P.: Three-Dimensional Geometry and Topology. Princeton NJ: Princeton University Press, 1997 pp. 153-157
28. 1 model in (2 + 1) dimensions. Phys. Lett. 158B, 424-428 (1985)
29. 2 sigma model. Nonlinearity 9, 897-910 (1996)