New Soliton Solutions in Noncommutative Torus

WEN Jun-Qing; ZHU Qiao; SHI Kang-Ji

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2006, Vol. 30> Issue(2) : 89-93

New Soliton Solutions in Noncommutative Torus

School of Science, Xi'an Shiyou University, Xi'an 710065, China2 Institute of Modern Physics, Northwest University, Xi'an 710069, China

Abstract
HTML
Reference
Related

PDF

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]	HAO Gang , QIAO Cong-Feng , ZHANG Ai-Lin . One Interpretation for Recent BES Observation. Chinese Physics C, 2007, 31(9): 840-843.
[2]	LIAO Yi . Field Theory on Non-commutative Space-Time and Some Related Phenomenology. Chinese Physics C, 2007, 31(9): 860-863.
[3]	HE Xiao-Gang , LI Xue-Qian . Probing Noncommutative Space-Time Scale Using γγ→Z at ILC. Chinese Physics C, 2007, 31(9): 844-848.
[4]	WANG Jian-Hua , LI Kang , LIU Peng . Energy Splitting of Isotropic Harmonic Oscillator in Noncommutative Phase Space. Chinese Physics C, 2006, 30(5): 387-391.
[5]	WANG Jian-Hua , LI Kang . Split Angular Momentum in Noncommutative Phase Space. Chinese Physics C, 2006, 30(11): 1053-1057.
[6]	XIONG Hua-Hui , DENG Hui , SHI Guo-Fang , SHI Kang-Jie . Rotation and Its Realization on Noncommutative Space R^2N. Chinese Physics C, 2004, 28(8): 801-805.
[7]	SHI Guo-Fang , DENG Hui , XIONG Hua-Hui , SHI Kang-Jie . Quantum States and Soltion Solutions on Noncommutative Orbifold R4/G. Chinese Physics C, 2004, 28(10): 1033-1039.
[8]	YAN Jun , TAO Bi-You . A Electric Sine-Gordon Soliton Solution in Two-Dimensional Dilaton Gravity Model. Chinese Physics C, 2003, 27(9): 767-769.
[9]	Ma Tao , Ni Zhixiang . Non-Harmonic Oscillator and New Conditionally Exactly Solvable Potentials. Chinese Physics C, 1999, 23(7): 650-654.
[10]	YAN Jun , TAO Bi-You , HU Shi-Ke . The Non-Abelian Wormholes Solutions in Baby Universe Model. Chinese Physics C, 1993, 17(7): 605-613.
[11]	GAO Song , WANG En-Ke , LI Jia-Rong . Bag Constant and Deconfinement Phase Transition in the Nontopological Soliton Bag Model. Chinese Physics C, 1992, 16(8): 723-730.
[12]	SIONG He-Jin , LI Jia-Rong . Soliton Star in FL-non-topological Soliton Model and Its Behavior at High Temperature. Chinese Physics C, 1992, 16(7): 600-608.
[13]	LOU Sen-Yue . Deconfinement Phase Transition for the Nontopological Soliton Bag Model and Symmetry Restore Phase Transition for φ⁴ Model. Chinese Physics C, 1991, 15(9): 797-803.
[14]	NI Zhi-Xiang , LI Xin-Zhou . A Class of Non-Topological Solitons With Self-Interactions Φ⁴. Chinese Physics C, 1991, 15(1): 92-96.
[15]	GAN Li-Ping , SUN Jie . DISCUSSION OF Λ NON-MESONIC DECAY BY JOINT POSSESSING QUARKS MODEL. Chinese Physics C, 1989, 13(10): 890-895.
[16]	WANG En-Ke , LI Jia-Rong . DECONFINEMENT TRANSITION OF NONTOPOLOGICAL SOLITON MODEL AT FINITE TEMPERATURE. Chinese Physics C, 1989, 13(11): 1003-1006.
[17]	XU Kai-Wen , SHEN Jian-Min . THE VIRASORO ALGEBRA ON TORUS WITH GENERAL METRIC. Chinese Physics C, 1989, 13(7): 594-599.
[18]	HUANG Nian-Ning . ON THE ONE-SOLITON SOLUTIONS OT SUPER-GORDON EGUATION. Chinese Physics C, 1985, 9(3): 382-384.
[19]	HOU Bo-Yu , SHI Kang-Jie , WANG Yu-Bin , HOU Bo-Yuan , WANG Pei . THE NON-SELFDUAL SOLUTIONS OF CP(n) CHIRAL THEORY AND CORRESPONDING GAUGE FIELDS. Chinese Physics C, 1983, 7(2): 150-159.
[20]	SHI YI-JIN , HE YIN . INVESTIGATION OF NON-LINFAR SCHRODINGER EQUATION SOLITON SOLUTION. Chinese Physics C, 1979, 3(4): 418-431.

Access

Get Citation

WEN Jun-Qing, ZHU Qiao and SHI Kang-Ji. New Soliton Solutions in Noncommutative Torus[J]. Chinese Physics C, 2006, 30(2): 89-93.

WEN Jun-Qing, ZHU Qiao and SHI Kang-Ji. New Soliton Solutions in Noncommutative Torus[J]. Chinese Physics C, 2006, 30(2): 89-93. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2005-04-30
Revised: 2005-10-27

Article Metric

Article Views(1376)
PDF Downloads(580)
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

New Soliton Solutions in Noncommutative Torus

Corresponding author: WEN Jun-Qing,

School of Science, Xi'an Shiyou University, Xi'an 710065, China2 Institute of Modern Physics, Northwest University, Xi'an 710069, China

Received Date: 2005-04-30
Accepted Date: 2005-10-27
Available Online: 2006-02-05

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.