Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms

WANG Ke; JIANG Yun-Guo; HUO Qiu-Hong

doi:10.1088/1674-1137/34/5/003

Chinese Physics C> 2010, Vol. 34> Issue(5) : 535-538 DOI: 10.1088/1674-1137/34/5/003

Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms

Abstract
HTML
Reference
Related

PDF

Abstract：
The quantal symmetry property of the CP¹ nonlinear σ model with Maxwell non-Abelian Chern-Simons terms in (2+1) dimension is studied. In the Coulomb gauge, the system is quantized by using the Faddeev-Senjanovic (FS) path-integral formalism. Based on the quantaum Noether theorem, the quantal conserved angular momentum is derived and the fractional spin at the quantum level in this system is presented.

References

[1]

. Schwinger. J. Annals of Phyics, 1958, 2: 4072. Migdal A A. Soviet Phys. JETP, 1976, 42: 4133. Polyakov A M. Phys. Lett. B, 1975, 59: 794. Adda A D, Vecchia P, Luscher M. Physics Report, 1979,49: 2395. Wilczek F. Phys. Rev. Lett., 1982, 49: 9576. Wilczek F, Zee A. Phys. Rev. Lett., 1983, 51: 22507. Roy P P K S, Scherer W. Phys. Rev. Lett., 1988, 61: 28278. LI Zi-Ping. Science in China A, 1996, 39: 7389. Karabali D. Phys. Rev. D, 1987,35: 152210. LI Zi-Ping. Chinese Science Bulletin, 1999, 44: 20711. JIANG Jin-Huan, LIU Yun, LI Zi-Ping. Chinese Physics,2004, 13: 15312. WANG Yong-Long, LI Zi-Ping. High Energy Physics and Nuclear Physics, 2004, 28: 696 (in Chinese)13. LI Zi-Ping. International Journal of Theoretical Physics,1996, 35: 135314. LI Zi-Ping, JIANG Jin-Huan. Symmetries in Constrained Canonical Systems. Beijing: Science Press, 200215. LI Zi-Ping. Zeit for Phys C, 1997, 76: 18116. LI Zi-Ping. Acta Physica Sinica, 1996, 45: 1601 (in Chinese)17. Banerjee R, Mukherjee P. Nuclear Physics B, 1996, 478:23518. Kim J K, Kim W T, Shin H. Journal of Physics A: Math.Gen, 1994, 27: 6

[1]	Juan-Juan Niu , Lei Guo , Shao-Ming Wang . HZ associated production with decay in the Alternative Left-Right Model at CEPC and future linear colliders. Chinese Physics C, 2018, 42(9): 093107. doi: 10.1088/1674-1137/42/9/093107
[2]	Yi Ling , Zhuoyu Xian , Zhenhua Zhou . Power law of shear viscosity in Einstein-Maxwell-Dilaton-Axion model. Chinese Physics C, 2017, 41(2): 023104. doi: 10.1088/1674-1137/41/2/023104
[3]	CHEN Hua-Xing , Shotaro Imai , Hiroshi Toki , GENG Li-Sheng . Study of hadrons using the Gaussian functional method in the O(4) linear σ model. Chinese Physics C, 2015, 39(6): 064103. doi: 10.1088/1674-1137/39/6/064103
[4]	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
[5]	LI Xin , CHANG Zhe , MO Xiao-Huan . Symmetries in a very special relativity and isometric group of Finsler space. Chinese Physics C, 2011, 35(6): 535-538. doi: 10.1088/1674-1137/35/6/004
[6]	LI Di-Kai , CHEN Gang , WEI Hui-Ling . Energy dependence of non-linear dynamical features in e⁺e^－ collisions. Chinese Physics C, 2008, 32(7): 552-555. doi: 10.1088/1674-1137/32/7/008
[7]	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.
[8]	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.
[9]	LI Rui-Jie , LI Zi-Ping . Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term. Chinese Physics C, 2002, 26(4): 325-330.
[10]	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.
[11]	Zhang Zhihe , Li Ziping . Casimir Effect of the Maxwell- Chern-Simons Field. Chinese Physics C, 1998, 22(1): 87-91.
[12]	Zhao Peiying . Analytical Approach to the Two-dimensional 0(3) Non-linear σ Model. Chinese Physics C, 1995, 19(S2): 151-155.
[13]	Wang Yanshen , Hou Boyu . Poisson-Lie Structure of 0(n) Non-Linear Sigma Model in Moving Frames. Chinese Physics C, 1994, 18(S4): 345-355.
[14]	Guo Shuohong , Fang Xiyan . Quantization of Lattice Chern-Simons Theory. Chinese Physics C, 1994, 18(8): 706-714.
[15]	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.
[16]	RUAN Jie , JING Si-Cong . THE CHIRAL ANOMALY OF LINEAR σ MODEL AND SCHWINGER TERMS. Chinese Physics C, 1990, 14(10): 882-891.
[17]	HOU Bo-Yu , LI Wei . NEW INFINITE SYMMETRIES IN THE STATIONARY AXIALLY SYMMETRIC EINSTEIN-MAXWELL FIELDS. Chinese Physics C, 1988, 12(2): 196-202.
[18]	Hou Boyu , Li Wei . New Infinite Symmetries in the Stationary, Axially Symmetric Einstein-Maxwell Fields. Chinese Physics C, 1988, 12(S1): 69-76.
[19]	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.
[20]	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.

Access

Get Citation

WANG Ke, JIANG Yun-Guo and HUO Qiu-Hong. Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms[J]. Chinese Physics C, 2010, 34(5): 535-538. doi: 10.1088/1674-1137/34/5/003

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2009-05-10
Revised: 2009-09-28

Article Metric

Article Views(1454)
PDF Downloads(477)
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

Quantal symmetries in the non-linear σ model with Maxwell and non-Abelian Chern-Simons terms

Corresponding author: JIANG Yun-Guo,

Received Date: 2009-05-10
Accepted Date: 2009-09-28
Available Online: 2010-05-05

Abstract:

The quantal symmetry property of the CP¹ nonlinear σ model with Maxwell non-Abelian Chern-Simons terms in (2+1) dimension is studied. In the Coulomb gauge, the system is quantized by using the Faddeev-Senjanovic (FS) path-integral formalism. Based on the quantaum Noether theorem, the quantal conserved angular momentum is derived and the fractional spin at the quantum level in this system is presented.