Removability of the Topological Term in the O(3) Nonlinear σ-model

GAO Xiao-Chun; XU Jing-Bo; YAN Ji-Jin; LI Wen-Zhu

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> 1991, Vol. 15> Issue(7) : 591-597

Removability of the Topological Term in the O(3) Nonlinear σ-model

Department of Physics,Zhejiang University,Hangzhou 310027

Abstract
HTML
Reference
Related

PDF

Abstract：
It is shown that the topological term in the O(3) nonlinear σ-model can be removed by a suitable canonical transformation in the classical theory of the model.In this paper,the quantum unitary transformation corresponding to the classical canonical transformation is found.The meaning of the unitary transformation and the removability of the topological term are then discussed.

References

[1]

A. M. Polyakov, Phys. Lett., 59B(1975), 79; 72B(1977), 224.[2] A, T. BelavinA. M. Polyakov, JEPP Lett., 22(1975), 245.[3] E. BrezinJ. Zinn-Justin, Phys. Rev., B14(1976), 3110,[4] H. Eichenher, Nucl. Phys., B146(1978), 215; 8155(1979), 544.[5] E. Witten, Phys. Lets., B149(1984), .351.[6] H. Levin, S. B. Libby A. M. M. Prutsken, Nucl. Phys., B240(1984), 30.[7] I. Affleck, Nucl, Phys., B257(1985), 397; B265(1986), 409.[8] I. Affleck, Phys. Rev. Lett, 56(1986), 408; 57(1986), 1048.[9] I. Dzyaloshinskii, A. M. PolyakovP. Wiegmann, Phys. Lett., A127(1988), 112.[10] A. M. Polyakov, Mod. Phys. Lett, A3(1988), 325.[11] S. Chakravarty, B. I, HaiperinD. R. Nelson, Phys, Rev. Lett 60(1988), 1057.[12] X. G. WenA. Zee, Phys. Rev. Lett., 63(1989), 461.[13] 高孝纯，汪涌，许晶波，李文铸，高能物理与核物理，13(1989)，527.[14] 葛墨林，牛云，科学通报，34(1989)，1131; J. Phys. A22(1989), L987.[15] G. Giaravarint, E. Gozzi, D. RohrlichW D. Tliacker, J. Phys., A22(1989), 3513.[16] T. L. Olozyk, P. K. PanigrahiS. Ramaswainy, Z. Phyr，C45(1990), 653.[17] W. MarcianoH. Pagels, Phys. Rep., C36( 1978), 254.[18] P. D. PecceiQuinn. Phys. Rev. Lett., 38(1977), 1440; S. M, Bar, X. C. Gao(高孝纯)D. B. Reiss. Phys.Rev., D25(1982), 2176.[19] B. BergM. Luscher, Comm. Math. Phys., 69(1979), 57; Nucl. Phys. B150(1979), 281; V. A. Fateev, I. V.FrolovA. S. Schwarz, Nucl. Phys，B(154) (1979), 1.

[1]	PAN Xue , CHEN Li-Zhu , CHEN Xiao-Song , WU Yuan-Fang . Cumulants in the 3-dimensional Ising, O(2) and O(4) spin models. Chinese Physics C, 2013, 37(12): 124103. doi: 10.1088/1674-1137/37/12/124103
[2]	LIU Miao , QI Ze-Ming , SHI Chao-Shu , XU Mei , ZHANG Wei-Ping , LIU Tao , XIE Ya-Ning . EXAFS Study the Local Structure of Nanocrystalline Lu₂O₃:Eu. Chinese Physics C, 2005, 29(S1): 93-96.
[3]	WANG Yong-Long , LI Zi-Ping . Symmetries in the Non-linear Sigma Model with Maxwell-Chern-Simons Term. Chinese Physics C, 2004, 28(7): 696-698.
[4]	WANG Rong , XU Yong-Jun , ZHU Jia-Zheng , ZHENG Yong-Nan , ZHOU Dong-Mei , ZHU Sheng-Yun . Voids in α–Al₂O₃ Irradiated by 85 MeV ¹⁹F Ions. Chinese Physics C, 2003, 27(7): 649-652.
[5]	QIAN Hai-Jie , SU Run , WANG Jia-Ou , WU Xiang , DONG Yu-Hui , WU Zi-Yu , WANG Yu-Tian , WEI Long , , . O 1s2p2p Auger Process Investigation of the Pr_1-x Sr_x MnO₃ System. Chinese Physics C, 2003, 27(S1): 40-44.
[6]	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.
[7]	YANG Peng-Cheng , CAI Xiao-Hai , HAO Jun-Chang , ZI Feng-Lan , XIE You-Chang , HU Tian-Dou , XIE Ya-Ning , ZHANG Jing . EXAFS Study of ZnO/γ-Al₂O₃ Prepared by Co-Precipitation Method. Chinese Physics C, 2001, 25(S1): 17-20.
[8]	CHEN JiSheng , LI JiaRong . Nonlinear Eigenfrequency Shift of QGP Including the Gluon Self-Coupling. Chinese Physics C, 2000, 24(12): 1149-1156.
[9]	Gao Xiaochun , Xu Donghui . R emovability of the Topological Term in the 2+1 Dimensional CP¹ Model. Chinese Physics C, 1995, 19(5): 413-419.
[10]	Zhao Peiying . The Analytical Approach for the Two-dimensional O(3) Non-linear σ Model. Chinese Physics C, 1995, 19(2): 143-147.
[11]	Wang Jiajun , Sun Hongzhou . Branching Rules for U(N) SP(N) O(3). Chinese Physics C, 1994, 18(3): 269-276.
[12]	Gao Xiaochun , Qian Tiezheng . The Removability of the Topological Term in the CP¹ Model and θ Vacuum. Chinese Physics C, 1994, 18(2): 137-142.
[13]	Li Yinwan , Zeng Qi , Hou Boyuan . Complete Integrable O(3)-σModel and r,s-Matrices. Chinese Physics C, 1994, 18(6): 518-524.
[14]	Wang Yanshen , Hou Boyu . The Poisson-Lie Structure of O(n) Non-Linear Sigma Model in Moving Frames. Chinese Physics C, 1994, 18(10): 892-901.
[15]	CHEN Zhiqian . Binding Strength and Oxygen Coordination of the Fe Sites in High T_C GdBa₂ Cu₃O_7—δ. Chinese Physics C, 1993, 17(11): 971-975.
[16]	Wang Jiajun , Sun Hongzhou . Branching Rules for U(N)⊃SP(N)⊃O(3). Chinese Physics C, 1993, 17(S4): 395-402.
[17]	Chen Zhiqian , Zheng Renrong , Yin Chuanzong . Mössbauer Study of High T_c GdBa₂Cu₃O_7-δ. Chinese Physics C, 1992, 16(S2): 117-122.
[18]	CHEN Zhi-Qian , ZHENG Ren-Rong , YIN Chuan-Zong . Mossbauer Study of GdBa₂Cu₃O_7－δ. Chinese Physics C, 1992, 16(5): 385-389.
[19]	GAO Xiao-Chun , WANG Yong , XU Jing-Bo , LI Wen-Zhu . THE STUDY OF TOPOLOGICAL TERMS OF THE NONLINEAR SIGMA MODEL. Chinese Physics C, 1989, 13(6): 526-529.
[20]	Zhou Guang-zhao , Gao Chong-shou . UNIFIED ELECTRO-WEAK MODEL IN SU (3). Chinese Physics C, 1980, 4(5): 609-622.

Access

Get Citation

GAO Xiao-Chun, XU Jing-Bo, YAN Ji-Jin and LI Wen-Zhu. Removability of the Topological Term in the O(3) Nonlinear σ-model[J]. Chinese Physics C, 1991, 15(7): 591-597.

GAO Xiao-Chun, XU Jing-Bo, YAN Ji-Jin and LI Wen-Zhu. Removability of the Topological Term in the O(3) Nonlinear σ-model[J]. Chinese Physics C, 1991, 15(7): 591-597. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2695)
PDF Downloads(458)
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

Removability of the Topological Term in the O(3) Nonlinear σ-model

Corresponding author: GAO Xiao-Chun,

Department of Physics,Zhejiang University,Hangzhou 310027

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-07-05

Abstract: It is shown that the topological term in the O(3) nonlinear σ-model can be removed by a suitable canonical transformation in the classical theory of the model.In this paper,the quantum unitary transformation corresponding to the classical canonical transformation is found.The meaning of the unitary transformation and the removability of the topological term are then discussed.