Symmetries in the Non-linear Sigma Model with Maxwell-Chern-Simons Term

WANG Yong-Long; LI Zi-Ping

Chinese Physics C> 2004, Vol. 28> Issue(7) : 696-698

Symmetries in the Non-linear Sigma Model with Maxwell-Chern-Simons Term

WANG Yong-Long ^, ,
LI Zi-Ping

College of Applied Science,Beijing University of Technology,Beijing 100022,China

Abstract
HTML
Reference
Related

PDF

Abstract：
The quantal symmetry property in the CP¹ non-linear sigma model with Maxwell-Chern-Simons (MCS) term in (2+1) dimensions is studied. In the Coulomb gauge, the system is quantized in the Faddeev-Senjanovic (FS) path-integral formalism. Based on the quantal symmetries of a constrained Hamiltonian system, the fractional spin at the quantum level of this system is presented.

References

[1]

. Haiperin B. Phys. Rev. Lett. , 1984, 52: 15832. Laughlin R B. Science, 1988, 242: 5253. Laughlin R B. Phys. Rev. Lett . , 1988, 60: 26774. Laidlaw M G G, De Witt C M Phys. Rev. , 1971, D3: 13755. Dowker J S. J. Phys. , 1972, A5: 9366. WU. Y S Phys. Rev. Lett . , 1984, 52 : 21037. Wil czek F, Zee. A Phys. Rev. Lett. , 1983, 51: 22508. Bowick M, Karabali D, Wijewardhana L C R. Nucl . Phys. , 1986,B271: 4179. Mackenzie R. Phys. Lett . , 1988, B214: 47110. Tsurumaru, T Tsutsui I. Phys. Lett. , 1999, B: 9411. Panigrahi P K, Roy S, Scherer W Phys. Rev. Let t. , 1988, 61: 282712. Mukherjee P. Phys. Lett. , 1997, B: 7013. Banerjee R. Nucl. Phys. , 1994, B419[ FS] : 61114. LI Z P. Since in China, 1996, A39: 73815. Karabal i D Phys. Rev. , 1987, D35: 152216. Polyakov A M. Mod. Phys. Lett. , 1988, A 3: 32517. JIANG J H, LI Z P. High Energy Phys. and Nucl. Phys. , 1999, 23(8) : 78418. LI R J, LI Z P. High Energy Phys. and Nucl . Phys. , 2002, 26(4) :32519. LI Z P, JIANG J H. Symmetries in Constrained Canonical Systems.Beijing: Science Press, 200220. LI Z P. Int er. J. Theor. Phys. , 1996, 35: 135321. LI Z P. Act a. Phys . Sin. , 1996, 45: 1601 22. JIANG J H, LIU Y, LI Z P. Chinese Phys. , 2004, 2: 153-15823. Kim J K, Kim W T, Shin H J. Phys. A:Math. Gen. , 1994, 27: 6

[1]	HUO Qiu-Hong , JIANG Yun-Guo , WANG Ru-Zhi , YAN Hui . Anomalous spin of the Chern-Simons-Georgi-Glashow model. Chinese Physics C, 2013, 37(4): 043104. doi: 10.1088/1674-1137/37/4/043104
[2]	WANG Ke , JIANG Yun-Guo , HUO Qiu-Hong . Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms. Chinese Physics C, 2010, 34(5): 535-538. doi: 10.1088/1674-1137/34/5/003
[3]	LU Dao-Ming . Phase Properties of a New Kind of Even and Odd Nonlinear Coherent States. Chinese Physics C, 2006, 30(7): 603-605.
[4]	ZHAO Xiu-Mei , CAO Li-Ke , YANG Tao , YUE Rui-Hong . Integrability of a Quantum Derivative Nonlinear Schrodinger Model for Spin-1/2 Particle. Chinese Physics C, 2004, 28(9): 936-940.
[5]	WANG Jing , HUANG Yong-Chang . BRST Transformation Equivalence and Ward Identities of 1+1 Dimensional Non-linear σ Model. Chinese Physics C, 2004, 28(1): 17-21.
[6]	LONG Zheng-Wen , LIU Bo , LI Zi-Ping . Canonical Quantization of the Complex Scalar Field Coupled to the Abel Chern-Simons Term. Chinese Physics C, 2003, 27(10): 866-869.
[7]	LI Rui-Jie , LI Zi-Ping . Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term. Chinese Physics C, 2002, 26(4): 325-330.
[8]	Jiang Jinhuan , Li Ziping . Quantization of a Scalar QED With Chern-Simons Term in the Batalin-Fradkin-Vilkovisky Scheme. Chinese Physics C, 1999, 23(8): 784-789.
[9]	Zhang Zhihe , Li Ziping . Casimir Effect of the Maxwell- Chern-Simons Field. Chinese Physics C, 1998, 22(1): 87-91.
[10]	Gao Xiaochun , Xu Donghui . Removability of the Topological Term in the 2+1 Dimensional CP¹ Model. Chinese Physics C, 1995, 19(S3): 257-264.
[11]	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.
[12]	Guo Shuohong , Fang Xiyan . Quantization of Lattice Chern-Simons Theory. Chinese Physics C, 1994, 18(8): 706-714.
[13]	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.
[14]	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.
[15]	LAI Xiao-Ping , FANG Hai-Ping , XIE Qu-Bing . Generation of Random Samples of Momentum Fractions of Quarks in the Stochastic Combination Model. Chinese Physics C, 1991, 15(12): 1069-1075.
[16]	GAO Xiao-Chun , XU Jing-Bo , YAN Ji-Jin , LI Wen-Zhu . Removability of the Topological Term in the O(3) Nonlinear σ-model. Chinese Physics C, 1991, 15(7): 591-597.
[17]	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.
[18]	ZHOU Guang-Zhao , WU Yue-Liang , XIE Yan-Bo . THE GENERAL CHERN-SIMONS COCHAIN AND THEIR APPLICATION. Chinese Physics C, 1986, 10(2): 177-185.
[19]	JIANG Xiang-Dong , ZHOU Xian-Jian . SO(10)×SO(8) MODEL WITH FRACTIONAL CHARGES, MONOPOLES AND PECULIAR PHOTONS. Chinese Physics C, 1985, 9(4): 421-429.
[20]	CHEN FENG-ZHI , HAO CHUN . THE CP VIOLATION OF SU(7) MODEL. Chinese Physics C, 1982, 6(1): 30-35.

Access

Get Citation

WANG Yong-Long and LI Zi-Ping. Symmetries in the Non-linear Sigma Model with Maxwell-Chern-Simons Term[J]. Chinese Physics C, 2004, 28(7): 696-698.

WANG Yong-Long and LI Zi-Ping. Symmetries in the Non-linear Sigma Model with Maxwell-Chern-Simons Term[J]. Chinese Physics C, 2004, 28(7): 696-698. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-12-10
Revised: 1900-01-01

Article Metric

Article Views(3248)
PDF Downloads(521)
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

Symmetries in the Non-linear Sigma Model with Maxwell-Chern-Simons Term

WANG Yong-Long ^,
LI Zi-Ping

Corresponding author: WANG Yong-Long,

College of Applied Science,Beijing University of Technology,Beijing 100022,China

Received Date: 2003-12-10
Accepted Date: 1900-01-01
Available Online: 2004-07-05

Abstract: The quantal symmetry property in the CP¹ non-linear sigma model with Maxwell-Chern-Simons (MCS) term in (2+1) dimensions is studied. In the Coulomb gauge, the system is quantized in the Faddeev-Senjanovic (FS) path-integral formalism. Based on the quantal symmetries of a constrained Hamiltonian system, the fractional spin at the quantum level of this system is presented.