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

WANG Yong-Long; LI Zi-Ping

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2024年10月30日

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

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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

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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

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

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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.