Chinese Physics C > 2010, Vol. 34 > Issue(3): 330-333 DOI: 10.1088/1674-1137/34/3/005

Topological structure of the solitons solution inSU(3) Dunne-Jackiw-Pi-Trugenberger model

Abstract
HTML
Reference
Related

PDF

Abstract：

By using φ-mapping topological current theory and gauge potential decomposition, we discuss the self-dual equation and its solution in theSU(N) Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual equation with a δ function. For theSU(3) case, we obtain a new self-duality solution and find the relationship between the soliton solution and topological number which is determined by the Hopf index and Brouwer degree of φ-mapping. In our solution, the flux of this soliton is naturally quantized.

References

[1]

. Chern S S, Simons J. Proc. Nat. Acad. Sci. USA, 1971,68(4): 791; Chern S S, Simons J. Ann. Math., 1974, 99:482. Diamantini M C, Sodano P, Trugenberger C A. Nucl. Phys.B, 1996, 474: 641; Duval C, Horvathy P A, Palla L. Phys.Rev. D, 1995, 52: 47003. Roy A K. Int. J. Mod. Phys. A, 1997, 12: 23434. Jackiw R, Pi S Y. Phys. Rev. Lett., 1990, 64: 2969;Abrikosov A A. Sov. Phys. JETP, 1957, 5: 11745. Jackiw R, Pi S Y. Phys. Rev. D, 1990, 42: 35006. Dunne G V, Jackiw R, Pi S Y et al. Phys. Rev. D, 1991,43: 1332; Dunne G V. Arxiv:hep-th/94100657. Lee X G, LIU Z Y, LI Y Q et al. Commom. Theor. Phys.,2007, 48: 1438. Lee X G, LIU Z Y, LI Y Q et al. Mod. Phys. Lett. A, 2008,23: 10559. LIU Z Y, Lee X G, LI Y Q et al. Nucl. Phys. Rev., 2007,24(4): 269 (in Chinese)10. DUAN Y S, GE M L. Sci. Sinica., 1979, 11: 1072; LI X G.HEP NP, 1999, 23: 906 (in Chinese); LIU Z Y, LI X G.Commom. Theor. Phys., 2008, 50: 94311. DUAN Y S, YANG G H, JIANG Y. Gen. Rel. Grav., 1997,29: 715; DUAN Y S. SALC-PUB-3301(1984)12. Grossman B. Phys. Rev. Lett., 1990, 65: 323013. DUAN Y S, Lee X G. Helv. Phys. Acta., 1995, 58: 513

Access

Get Citation

LIU Zi-Yu, XIANG Qian-Lan, ZHANG Xiao-An and XIAO Guo-Qing. Topological structure of the solitons solution in SU(3) Dunne-Jackiw-Pi-Trugenberger model[J]. Chinese Physics C, 2010, 34(3): 330-333. doi: 10.1088/1674-1137/34/3/005

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2009-04-22
Revised: 2009-06-22

Article Metric

Article Views(4430)
PDF Downloads(520)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者:陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Topological structure of the solitons solution inSU(3) Dunne-Jackiw-Pi-Trugenberger model

Corresponding author:XIAO Guo-Qing,

Received Date:2009-04-22
Accepted Date:2009-06-22
Available Online:2010-03-05

Abstract:

By using φ-mapping topological current theory and gauge potential decomposition, we discuss the self-dual equation and its solution in theSU(N) Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual equation with a δ function. For theSU(3) case, we obtain a new self-duality solution and find the relationship between the soliton solution and topological number which is determined by the Hopf index and Brouwer degree of φ-mapping. In our solution, the flux of this soliton is naturally quantized.