Nontopological N-Vortex Condensates for the Self-Dual Chern-Simons Theory

Communications on Pure and Applied Mathematics

Volumn 56, Issue 12, 2003, Pages 1752-1780

  Nolasco, Margherita ^a  

^a UNIVERSITY OF L'AQUILA   (Italy)

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[No Author keywords available]

Indexed keywords

EID: 2442475391     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/cpa.10109     Document Type: Article

References (21)

1. Angenent, S. The shadowing lemma for elliptic PDE. Dynamics of infinite-dimensional systems (Lisbon, 1986), 7-22. NATO Advanced Science Institutes Series F: Computer and Systems Sciences, 37. Springer, Berlin, 1987.
2. Caffarelli, L. A.; Yang, Y. S. Vortex condensation in the Chern-Simons Higgs model: an existence theorem. Comm. Math. Phys. 168 (1995), no. 2, 321-336.
3. Chae, D.; Imanuvilov, O. Y. The existence of non-topological multivortex solutions in the relativistic self-dual Chern-Simons theory. Comm. Math. Phys. 215 (2000), no. 1, 119-142.
4. Chae, D.; Kim, N. Topological multivortex solutions of the self-dual Maxwell-Chern-Simons-Higgs system. J. Differential Equations 134 (1997), no. 1, 154-182.
5. Ding, W.; Jost, J.; Li, J.; Peng, X.; Wang, G. Self duality equations for Ginzburg-Landau and Seiberg-Witten type functionals with 6th order potentials. Comm. Math. Phys. 217 (2001), no. 2, 383-407.
6. Ding, W.; Jost, J.; Li, J.; Wang, G. An analysis of the two-vortex case in the Chern-Simons Higgs model. Calc. Var. Partial Differential Equations 7 (1998), no. 1, 87-97.
7. Ding, W.; Jost, J.; Li, J.; Wang, G. Multiplicity results for the two-vortex Chem-Simons Higgs model on the two-sphere. Comment. Math. Helv. 74 (1999), no. 1, 118-142.
8. Dunne, G. Self-dual Chern-Simons theories. Lecture Notes in Physics Monograph Series, 36. Springer, Heidelberg, 1995.
9. Hong, J.; Kim, Y.; Pac, P. Y. Multivortex solutions of the abelian Chern-Simons-Higgs theory. Phys. Rev. Lett. 64 (1990), no. 19, 2230-2233.
10. Jackiw, R.; Weinberg, E. J. Self-dual Chem-Simons vortices. Phys. Rev. Lett. 64 (1990), no. 19, 2234-2237.
11. Nolasco, M.; Tarantello, G. Double vortex condensates in the Chem-Simons-Higgs theory. Calc. Var. Partial Differential Equations 9 (1999), no. 1, 31-94.
12. Nolasco, M.; Tarantello, G. Vortex condensates for the SU(3) Chern-Simons theory. Comm. Math. Phys. 213 (2000), no. 3, 599-639.
13. Ricciardi, T.; Tarantello, G. Vortices in the Maxwell-Chern-Simons theory. Comm. Pure Appl. Math. 53 (2000), no. 7, 811-851.
14. Spruck, J.; Yang, Y. S. The existence of nontopological solitons in the self-dual Chern-Simons theory. Comm. Math. Phys. 149 (1992), no. 2, 361-376.
15. Spruck, J.; Yang, Y. S. Topological solutions in the self-dual Chern-Simons theory: existence and approximation. Ann. Inst. H. Poincaré Anal. Non Linéaire 12 (1995), no. 1, 75-97.
16. 't Hooft, G. A property of electric and magnetic flux non-Abelian gauge theories. Nuclear Phys. B 153 (1979), no. 1-2, 141-160.
17. Tarantello, G. Multiple condensate solutions for the Chern-Simons-Higgs theory. J. Math. Phys. 37 (1996), no. 8, 3769-3796.
18. Taubes, C. H. Arbitrary N-vortex solutions to the first order Ginzburg-Landau equations. Comm. Math. Phys. 72 (1980), no. 3, 277-292.
19. Wang, R. The existence of Chern-Simons vortices. Comm. Math. Phys. 137 (1991), no. 3, 587-597.
20. Wang, G.; Zhang, L. Non-topological solutions of the relativistic SU(3) Chern-Simons Higgs model. Comm. Math. Phys. 202 (1999), no. 3, 501-515.
21. Yang, Y. The relativistic non-abelian Chern-Simons equations. Comm. Math. Phys. 186 (1997), no. 1, 199-218.