Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term

LI Rui-Jie; LI Zi-Ping

Chinese Physics C> 2002, Vol. 26> Issue(4) : 325-330

Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term

LI Rui-Jie ^, ,
LI Zi-Ping

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

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Abstract：
The generator of gauge transformation for spinor QED with Chern-Simons (CS) term has been constructed. According to the rule of path integral quantization for constrained system in Faddeev-Senjanovic scheme, the phase-space generating of Green function is obtained, and canonical Ward identities for such a system is also derived. The quantal conserved angular momentum for spinor QED with CS term is studied. The property of fractional spin of the system is pointed out.

References

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Senjenovic P. Ann. Phys., 1976. 100: 227-2612 Gitman D M, Tyutin I V. Quantization of Fields with Constraints, Berlin: Springer-Verlag, 19903 Mizrahi M M. J. Math. Phys, 1978, 19: 298-3074 LI Z P. Science in China, Series A, 1996, 39: 739-7475 LI Z P. Z. Phys., 1997, C76: 181-1896 Kim J K, Kim W T, Shin H. J. Phys, 1994, A27: 6067-60767 Banerjee, R. Nucl. Phys., 1994, B419: 611-6318 Banerjee R, Chakreborty B. Phys. Rev., 1994, D49(10): 5431-54379 Lerda A, Anyon. Berlin: Springer-Verlag, 199210 LI Z P. Int J. Theor. Phys., 1995, 34: 523-54311 Banerjee R. Phys. Rev., 1993, D48(6): 2905-291512 Haller K, Lim-Lombaidas E. Ann. Phys., 1996, 246: 1-4813 Forte S. Rev. Mod. Phys., 1992, 64: 193—236; Shin H, Kim W T, Kim J K, Phys. Rev. 1992, D46(6): 2730—2733

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LI Rui-Jie and LI Zi-Ping. Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term[J]. Chinese Physics C, 2002, 26(4): 325-330.

LI Rui-Jie and LI Zi-Ping. Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term[J]. Chinese Physics C, 2002, 26(4): 325-330. shu

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Received: 2001-06-18
Revised: 1900-01-01

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Quantal Canonical Symmetries in Spinor QED with Chern-Simons Term

LI Rui-Jie ^,
LI Zi-Ping

Corresponding author: LI Rui-Jie,

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

Received Date: 2001-06-18
Accepted Date: 1900-01-01
Available Online: 2002-04-05

Abstract: The generator of gauge transformation for spinor QED with Chern-Simons (CS) term has been constructed. According to the rule of path integral quantization for constrained system in Faddeev-Senjanovic scheme, the phase-space generating of Green function is obtained, and canonical Ward identities for such a system is also derived. The quantal conserved angular momentum for spinor QED with CS term is studied. The property of fractional spin of the system is pointed out.