-
Abstract：
Besed on finite dimensional reduced matrices of operators on integral noncommutative torus, soliton solution problem can be converted into the finite matrix solution problem satisfying the algebraic equation Q(M)=0. In this paper, we mainly study the condition of reduced matrix for the operator which cannot be diagonalized. When the potential function V(\phi)=0 has an extremum point in three or more rank, there exist matrix solution that cannot be diagonalized for the finite dimensional matrix equation V′(M)=0$. We study the general form of the solution and construct new soliton solution on noncommutative integral ring. In terms of the construction method, we obtain soliton solutions on noncommutative orbifold.
-
-
References
|
[1]
|
Landi G. An Introduction to Non-commutative Space andTheir Geometry. arXiv:hep-th/97010782 Varilly J. Nucl.Phys., 1998, 64: 191-1963 Seiberg N, Witten E. String Theory and Non-commutativeGeometry. arXiv:hep-th/99081424 Karabali D, Nair V P. Nucl.Phys., 2002, B641: 533-5465 Douglas M R, Nekrasov N A. Rev.Mod.Phys., 2001, 73:977-10296 Martinec E J, Moore G. Noncommutative Solitons on Orbifolds. arXiv:hep-th/01011997 HOU Bo-Yu, HOU Bo-Yuan, YUE Rui-Hong. Fuzzy Sphere Bimodule and ABS Construction to The Exact Soliton Solution. arXiv:hep-th/01090918 HOU Bo-Yu, PENG Dan-Tao. Int. J. Mod. Phys., 2002,B16: 2079-20889 Derrick G. J. Math. Phys., 1964, 5: 125210 Gopakumar R, Minwalla S, Strominger A. Noncommutative Soliton. arXiv:hep-th/000316011 Harvey J. Komaba Lectures on Noncommutative Solitons and D-branes. arXiv:hepth/010207612 Harvey J, Kraus P, Larsen F. Exact Noncommutative Solitons. arXiv:hep-th/001006013 Hamanaka M, Terashima S. On Exact Noncommutative BPS Solitons. arXiv:hep-th/001022114 Gross D J, Nekrasov N A. Solitons in Noncommutative Gauge Theory. arXiv:hep-th/001009015 Gopakumar R, Headrick M, Spradin M. Commun. Math.Phys., 2003, 233: 355-38116 HOU Bo-Yu, SHI Kang-Jie, YANG Zhan-Ying. Lett. Math.Phys., 2002, 61: 205-22017 DENG Hui, HOU Bo-Yu, SHI Kang-Jie et al. J. Math.Phys., 2004,45: 978-99518 DENG Hui, HOU Bo-Yu, SHI Kang-Jie et al. The ManifestCovariant Soliton Solutions on Noncommutative Orbifold T2/Z6 and T2/Z3. arXiv:hep-th/040310219 Wong M W. Weyl Transformations. New York: Springer Verlag, 1998. 243-249 |
-
| [1] |
GUO Yun-Jun
, HE Kang-Lin
. Muon Identification Using the Efficiencies Ratio Method at BESⅡ. Chinese Physics C,
2007, 31(11): 1050-1055. |
| [2] |
Medina Ablikim
, HUANG Wei-Cheng
,
. New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C,
2002, 26(4): 338-345. |
| [3] |
Yang Jianjun
, Ma Boqiang
, Li Guanglie
. Non-perturbative Quark Propagator and the Study of the Non-trivial Q2 Dependence in the Nucleon Structure Functions. Chinese Physics C,
1997, 21(2): 146-156. |
| [4] |
ZHU Xiang
, SHEN Wen-Qing
, HU Xiao-Qing
, ZHU Yong-Tai
, WANG Bing
. A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C,
1990, 14(9): 835-841. |
| [5] |
WU SHI-SHU
. ON NUCLEAR SINGLE-PARTICLE POTENTIALS（Ⅲ）SINGLEPARTICLE ENERGIES DETERMINED BY THE NONHERMITIAN POTENTIAL Uαβ=Mαβ（εβ）. Chinese Physics C,
1979, 3(4): 469-483. |
-
Access
-
-
Abstract
HTML
Reference
Related
PDF
DownLoad: