Abstract
The Dirac-Yang monopoles are singular Yang-Mills field configurations in all Euclidean dimensions. The regular counterpart of the Dirac monopole in D = 3 is the’ t Hooft-Polyakov monopole, the former being simply a gauge transform of the asymptotic fields of the latter. Here, regular counterparts of Dirac-Yang monopoles in all dimensions are described. In the first part of this work, the hierarchy of Dirac-Yang monopoles will be defined; in the second part, the motivation to study these in a topical context will be briefly presented; and in the last part, two classes of regular counterparts to the Dirac-Yang hierarchy will be presented.
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References
P. A. M. Dirac, Proc. R. Soc. London, Ser. A 133, 60 (1931).
G. ’t Hooft, Nucl. Phys. B 79, 276 (1974); A.M. Polyakov, JETP Lett. 20, 194 (1974).
C. N. Yang, J.Math. Phys. 19, 320 (1978).
D. H. Tchrakian, J. Math. Phys. 21, 166 (1980).
H. Kihara, Y. Hosotani, and M. Nitta, Phys. Rev. D 71, 041701 (2005), hep-th/0408068.
E. Radu and D. H. Tchrakian, Phys. Rev. D 71, 125013 (2005); hep-th/0502025.
G. M. O’Brien and D. H. Tchrakian, Mod. Phys. Lett. A 4, 1389 (1989).
K. Arthur, G. M. O’Brien, and D. H. Tchrakian, J. Math. Phys. 38, 4403 (1997).
Zhong-Qi Ma and D.H. Tchrakian, Lett. Math. Phys. 26, 179 (1992).
D. H. Tchrakian and F. Zimmerschied, Phys. Rev. D 62, 045002 (2000); hep-th/9912056.
N. Sakai and D. Tong, J. High Energy Phys. 0503, 019 (2005); K. Hashimoto and D. Tong, hep-th/0506022.
J. Polchinski, hep-th/0510033.
R. Bartnik and J. McKinnon, Phys. Rev. Lett. 61, 141 (1988).
K. Lee, V. P. Nair, and E. J. Weinberg, Phys. Rev. 45, 2751 (1992).
P. Breitenlohner, P. Forgacs, and D. Maison, Nucl. Phys. B 383, 357, (1992); 442, 126 (1995).
Y. Brihaye, A. Chakrabarti, and D. H. Tchrakian, Class. Quantum Grav. 20, 2765 (2003), hep-th/0202141.
Y. Brihaye, A. Chakrabarti, B. Hartmann, and D. H. Tchrakian, Phys. Lett. B 561, 161 (2003), hep-th/0212288.
E. Radu and D. H. Tchrakian, Phys. Rev. D 73, 024006 (2006), gr-qc/0508033.
Y. Brihaye, E. Radu, and D. H. Tchrakian, grqc/0610087.
P. Breitenlohner, D. Maison, and D. H. Tchrakian, Class. Quantum Grav. 22, 5201 (2005), grqc/0508027.
G. W. Gibbons and P. K. Townsend, Class. Quantum Grav. 23, 4873 (2006), hep-th/0604024.
A. C. T. Wu and T. T. Wu, J. Math. Phys. 15, 53 (1974).
D. H. Tchrakian, Phys. Lett. B 150, 360 (1985).
A. A. Belavin, A. M. Polyakov, A. S. Schwartz, and Yu. S. Tyupkin, Phys. Lett. B 59, 85 (1975).
D. H. Tchrakian, Yang-Mills Hierarchy, in Proceedings of the 21st International Conference on Differential Geometric Methods in Theoretical Physics, Ed. by C. N. Yang, M. L. Ge, and X. W. Zhou; Int. J. Mod. Phys. A (Proc. Suppl.) 3, 584 (1993).
B. Grossman, T. W. Kephart, and J. D. Stasheff, Commun. Math. Phys. 96, 431 (1984); 100, 311 (E) (1985).
D. H. Tchrakian and A. Chakrabarti, J. Math. Phys. 32, 2532 (1991).
J. Burzlaff and D. H. Tchrakian, J. Phys. A 26, L1053 (1993).
C. Saclioglu, Nucl. Phys. B 277, 487 (1986).
K. Fujii, Lett. Math. Phys. 12, 363, 371 (1986).
Y. Brihaye, E. Radu, and D.H. Tchrakian, Int. J.Mod. Phys. A 19, 5085 (2004), hep-th/0405255.
J. Arafune, P. G. O. Freund, and C. J. Goebel, J. Math. Phys. 16, 433 (1975).
T. Tchrakian, Winding Number Versus Chern-Pontryagin Charge, in a volume in Honor of Sergei Matinyan, Ed. by V. G. Gurzadyan and A. G. Sedrakian (World Sci., Singapore, 2002), hepth/0204040.
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Tchrakian, T. Dirac-Yang monopoles in all dimensions and their regular counterparts. Phys. Atom. Nuclei 71, 1116–1122 (2008). https://doi.org/10.1134/S106377880806015X
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DOI: https://doi.org/10.1134/S106377880806015X