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On the Yang-Mills-Higgs equations
Author(s):
Clifford Henry
Taubes
Journal:
Bull. Amer. Math. Soc.
10
(1984),
295-297.
MSC (1980):
Primary 35Q20, 58G20, 81E10;
Secondary 55Q52
MathSciNet review:
733700
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References |
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Additional information
References:
- 1.
- A. Jaffe and C. H. Taubes, Vortices and monopoles, Birkhauser, 1980. MR 614447
- 2.
- C. H. Taubes, The existence of a non-minimal solution to the SU(2) Yang-Mills-Higgs equations on R. I, II, Comm. Math. Phys. 86 (1982), 257; ibid. Comm. Math. Phys. 86 (1982), 299. MR 676188
- 3.
- C. H. Taubes, The existence of multi-monopole solutions to the non-abelian, Yang-Mills-Higgs equations for arbitrary, simple gauge groups, Comm. Math. Phys. 80 (1981), 343. MR 626705
- 4.
- R. Ward, A Yang-Mills-Higgs monopole of charge 2, Comm. Math. Phys. 80 (1981), 137. MR 623155
- 5.
- E. Corrigan and P. Goddard, An n-monopole with 4n--1 degrees of freedom, Comm. Math. Phys. 80 (1981), 575. MR 628513
- 6.
- D. Groisser, SU(2) Yang-Mills theory on R, Harvard Univ. Preprint, 1983.
- 7.
- E. B. Bogomol'nyi, The stability of classical solutions, Soviet J. Nuclear Phys. 24, (1976), 449. MR 443719
- 8.
- N. J. Hitchin, Monopoles and geodesics, Comm. Math. Phys. 83 (1982), 579. MR 649818
- 9.
- W. Nahm, All self-dual monopoles for arbitrary gauge group, TH. 3172-CERN, 1981 (preprint).
- 10.
- N. J. Hitchin, On the construction of monopoles, Comm. Math. Phys. 89 (1983), 145. MR 709461
- 11.
- C. H. Taubes, Path connected Yang-Mills moduli spaces (preprint). MR 755230
- 12.
- C. H. Taubes, Stability in Yang-Mills theories, Comm. Math. Phys. (to appear). MR 723549
- 13.
- C. H. Taubes, A min-max theory for the Yang-Mills-Higgs equations (forthcoming). MR 787116
- 14.
- K. K. Uhlenbeck, Connections with L, Comm. Math. Phys. 83 (1982), 31. MR 648356
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Additional Information:
DOI:
10.1090/S0273-0979-1984-15254-6
PII:
S 0273-0979(1984)15254-6
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