Monopoles, vortices, and kinks in the framework of noncommutative geometry

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 56, Issue 4, 1997, Pages 2291-2302

  Teo, Edward ^a   Ting, Christopher ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0142210996     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.56.2291     Document Type: Article

References (40)

1. P.W. Higgs, Phys. Rev. 145, 1156 (1966).
2. D.B. Fairlie, Phys. Lett. 82B, 97 (1979).
3. N.S. Manton, Nucl. Phys. B158, 141 (1979).
4. M. Dubois-Violette, R. Kerner, and J. Madore, Class. Quantum Grav. 6, 1709 (1989).
5. A. Connes, in The Interface of Mathematics and Particle Physics, edited by D.G. Quillen (Clarendon, Oxford, 1990).
6. A. Connes, Noncommutative Geometry (Academic, London, 1994).
7. J.C. Várilly and J.M. Gracia-Bondía, J. Geom. Phys. 12, 223 (1993).JGPHE5
8. A.H. Chamseddine and A. Connes, “The Spectral Action Principle”.
9. A.H. Chamseddine and A. Connes, “A Universal Action Formula”.
10. A. Connes and J. Lott, in Recent Advances in Field Theory, Proceedings of the Workshop, Annecy, France, 1990, edited by P. Binetruy et al. [Nucl. Phys. B, Proc. Suppl. 18B, 29 (1990)].NPBSE7
11. R. Coquereaux, G. Esposito-Farèse, and G. Vaillant, Nucl. Phys. B353, 689 (1991).
12. M. Dubois-Violette, R. Kerner, and J. Madore, J. Math. Phys. (N.Y.) 31, 323 (1990).
13. B.S. Balakrishna, F. Gürsey, and K.C. Wali, Phys. Rev. D 44, 3313 (1991).
14. R. Coquereaux, G. Esposito-Farèse, and F. Scheck, Int. J. Mod. Phys. A 7, 6555 (1992).
15. C.P. Martín, J.M. Gracia-Bondía, and J.C. Várilly, “The Standard Model as a Noncommutative Geometry: The Low Energy Regime”.
16. G. ’t Hooft, Nucl. Phys. B79, 276 (1974).
17. A.M. Polyakov, JETP Lett. 20, 194 (1974).JTPLA2
18. H.B. Nielsen and P. Olesen, Nucl. Phys. B61, 45 (1973).
19. R. Rajaraman, Solitons and Instantons (North-Holland, Amsterdam, 1982).
20. E.B. Bogomol’nyi, Sov. J. Nucl. Phys. 24, 449 (1976).
21. M.K. Prasad and C.H. Sommerfield, Phys. Rev. Lett. 35, 760 (1975).
22. A.A. Belavin, A.M. Polyakov, A.S. Schwartz, and Yu.S. Tyupkin, Phys. Lett. 59B, 85 (1975).
23. N.S. Manton, Nucl. Phys. B135, 319 (1978).
24. G. Dunne, “Self-Dual Chern-Simons Theories,” Lectures presented at the XIIIth International Symposium “Field Theory and Mathematical Physics,” Mt. Sorak, Korea, 1994.
25. J. Madore, An Introduction to Noncommutative Geometry and its Physical Applications (Cambridge University Press, Cambridge, England, 1995).
26. M. Dubois-Violette, J. Madore, and R. Kerner, Class. Quantum Grav. 8, 1077 (1991).
27. P. Goddard and D.I. Olive, Rep. Prog. Phys. 41, 1357 (1978).
28. A. Jaffe and C. Taubes, Vortices and Monopoles (Birkhäuser, Boston, 1980).
29. S. Deser, Phys. Lett. 64B, 463 (1976).
30. G. Landi, N.A. Viet, and K.C. Wali, Phys. Lett. B 326, 45 (1994).
31. T. Eguchi, P.B. Gilkey, and A.J. Hanson, Phys. Rep. 66, 213 (1980).
32. A. Sitarz, Phys. Lett. B 308, 311 (1993).
33. A. Sitarz, J. Geom. Phys. 15, 1 (1994).JGPHE5
34. D.H. Tchrakian, J. Math. Phys. (N.Y.) 21, 166 (1980).
35. F.A. Bais and P. Batenburg, Nucl. Phys. B269, 363 (1986).
36. P. Batenburg and R.H. Rietdijk, Nucl. Phys. B313, 393 (1989).
37. G.H. Derrick, J. Math. Phys. (N.Y.) 5, 1252 (1964).
38. E. Witten and D. Olive, Phys. Lett. 78B, 97 (1978).
39. B. Chen, T. Saito, H.-B. Teng, K. Uehara, and K. Wu, Prog. Theor. Phys. 95, 1173 (1996).
40. C.-Y. Lee, D.S. Hwang, and Y. Ne’eman, J. Math. Phys. (N.Y.) 37, 3725 (1996).