Topological structure of the solitons solution in <EM>SU</EM>(3) Dunne-Jackiw-Pi-Trugenberger model

LIU Zi-Yu; XIANG Qian-Lan; ZHANG Xiao-An; XIAO Guo-Qing

doi:10.1088/1674-1137/34/3/005

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

Topological structure of the solitons solution in SU(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 the SU(N) Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual equation with a δ function. For the SU(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

[1]	Xiao-Gang He , Wei Wang . Flavor SU(3) topological diagram and irreducible representation amplitudes for heavy meson charmless hadronic decays: mismatch and equivalence. Chinese Physics C, 2018, 42(10): 103108. doi: 10.1088/1674-1137/42/10/103108
[2]	YE Qing , CHEN Xing , ZHOU Jing , ZHAO Hai-Feng , CHU Wang-Sheng , ZHENG Xu-Sheng , WU Zi-Yu . Local hydrated structure of an Fe²⁺/Fe³⁺ aqueous solution: an investigation using a combination of molecular dynamics and X-ray absorption fine structure methods. Chinese Physics C, 2013, 37(3): 038003. doi: 10.1088/1674-1137/37/3/038003
[3]	LIU Yao-Bei , WANG Xue-Lei , REN Xiao-Yan , CAO Yong-Hua . SU(3) simple group model and single top production at the e^－γ colliders. Chinese Physics C, 2008, 32(2): 88-91. doi: 10.1088/1674-1137/32/2/002
[4]	YU You-Wen , ZHANG Zong-Ye , LI Qiang-Bing . ΩN Bound State in SU(3) Quark Model. Chinese Physics C, 2002, 26(10): 1041-1045.
[5]	CHEN FengZhi , WANG Ping . An SU (3)_L×U(1)_X Electroweak Model. Chinese Physics C, 2000, 24(11): 985-990.
[6]	Zhang Zongye , Yu Youwen , Dai Lianrong . Quark-Chiral Field interaction in SU(3) Model. Chinese Physics C, 1996, 20(4): 363-368.
[7]	Deng Shenghua , Wang Enke , Li Jiarong . Two-Loop Effective Potential of the Non-topological Soliton Model at Finite Temperature. Chinese Physics C, 1995, 19(S3): 289-304.
[8]	Chen Shihao . An SU(5) Grand Unified Model with Hadrons as Nontopological Solitons (Ⅱ). Chinese Physics C, 1994, 18(5): 409-416.
[9]	Chen Shihao . An SU(5) Grand Unified Model with Hadrons as Nontopological Solitons(Ⅰ). Chinese Physics C, 1994, 18(4): 317-325.
[10]	Gao Xiaochun , Qian Tiezheng . The Removability of the Topological Term in the CP¹ model and ϑ-Vacuum. Chinese Physics C, 1993, 17(S4): 355-360.
[11]	CHEN Tian-Lun , SUO Cun-Chuan , HUANG Wu-Qun . β FUNCTION FOR SU(3)×SU(3) CHIRAL MODEL ON 2-DIMENSIONAL RANDOM TRIANGLE LATTICE. Chinese Physics C, 1990, 14(8): 700-703.
[12]	Wen Jiaru , Huang Tao . Baryons as Solitons in a Non-Linear a Model With Only a Sixth-Order Stabilizing Term. Chinese Physics C, 1988, 12(S1): 77-80.
[13]	CAO Jian-Min , WANG Shun-Jin . SOLUTION OF ELLIOTT SU(3) MODEL IN CONTINUOUS VARIABLE REPRESENTION. Chinese Physics C, 1988, 12(4): 557-567.
[14]	WANG Shun-Jin , CAO Jian-Min , XU Gong-Ou . CONTINUOUS VARIABLE REPRESENTATION OF ELLIOTT SU(3) MODEL. Chinese Physics C, 1987, 11(1): 111-119.
[15]	CHEN Shi-Hao . ELECTRO-WEAK UNIFIED THEORY——A MODEL IN SU(3)×U(1). Chinese Physics C, 1985, 9(6): 679-686.
[16]	MA ZHONG-QI , DONG FANG-XIAO , ZHOU XIAN-JIAN , XUE PEI-YOU . CLASSICAL STATIC AND SPHERICALLY SYMMETRIC SOLUTION OF SU(3) GAUGE FIELD WITH A STATIC AND ECTERNAL EXTERNAL SOURCE. Chinese Physics C, 1981, 5(2): 182-191.
[17]	GUO SHUO-HONG , CHEN QI-ZHOU , GUAN HONG . ON THE SU(3) INSTANTONS WITH TOPOLOGICAL CHARGE 4. Chinese Physics C, 1981, 5(6): 682-686.
[18]	Dong Fang-xiao , Zhou Xian-jian , Huang Tao , Xue Pei-you . THE TIME-DEPENDENCES OF THE STATIC SOLUTION OF SU(2) AND SU(3) GAUGE THEORY AT THE PRESENCE OF STATIC EXTENDED SOURCE. Chinese Physics C, 1980, 4(6): 724-734.
[19]	Zhou Guang-zhao , Gao Chong-shou . UNIFIED ELECTRO-WEAK MODEL IN SU (3). Chinese Physics C, 1980, 4(5): 609-622.
[20]	DONG FANG-XIAO , DU DONG-SHENG . SU_4×SU'₃MODEL AND γ-NEW PARTICLES. Chinese Physics C, 1979, 3(6): 788-790.

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(2593)
PDF Downloads(519)
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 in SU(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 the SU(N) Dunne-Jackiw-Pi-Trugenberger model and obtain a new concrete self-dual equation with a δ function. For the SU(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.