Casimir Effect of the Maxwell- Chern-Simons Field

Zhang Zhihe; Li Ziping

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1998, Vol. 22> Issue(1) : 87-91

Casimir Effect of the Maxwell- Chern-Simons Field

Zhang Zhihe ^, ,
Li Ziping

Department of Bicmedicine Engineering, Capital University of Medical Sciences, Beijing 1000541 Department of Applied Physics, Beijing Polytechnic University, Beijing 100022

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Abstract：
Based on the Faddeev formalism of path - integral quantization for constrained Hamiltonian system, we reexammine the quantization of Maxwell Chern-Simons field, and use the Plana summation formula in the theory of conplex variable function, the Casimir effect belween two parallel lines in the (2+1 ) - dimensional space -time has been calculated, in which we do not use any cutoff of parameter; the finite analytical expression is also obtained.

References

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K. A. Miltton, Y. J. Ng. Phys. Rev., 1990, D42:2875; Phys. Rev., 1992, D46:842[2] R Tao, Y. S. Wu. ibid, 1985, 31:6859[3] Sze - Shiang Feng, Xi - Jun Qiu. Int. J. Phys., 1995, 34: 1827[4] Ni Guangiiong, Zhang Min, Gong Jiawen. High Energy Phys. and Nucl. Phys. (in Chinese), 1991, 15:695(倪光炯, 张敏, 宫家文. 高能物理与核物理, 1991, 15:695)[5] Zheng Taiyu. High Energy Phys. and Nucl. Phys. (in Chinese), 1990, 14:796(郑泰玉. 高能物理与核物理, 1990, 14: 796)

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Zhang Zhihe and Li Ziping. Casimir Effect of the Maxwell- Chern-Simons Field[J]. Chinese Physics C, 1998, 22(1): 87-91.

Zhang Zhihe and Li Ziping. Casimir Effect of the Maxwell- Chern-Simons Field[J]. Chinese Physics C, 1998, 22(1): 87-91. shu

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

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Casimir Effect of the Maxwell- Chern-Simons Field

Zhang Zhihe ^,
Li Ziping

Corresponding author: Zhang Zhihe,

Department of Bicmedicine Engineering, Capital University of Medical Sciences, Beijing 1000541 Department of Applied Physics, Beijing Polytechnic University, Beijing 100022

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1998-01-05

Abstract: Based on the Faddeev formalism of path - integral quantization for constrained Hamiltonian system, we reexammine the quantization of Maxwell Chern-Simons field, and use the Plana summation formula in the theory of conplex variable function, the Casimir effect belween two parallel lines in the (2+1 ) - dimensional space -time has been calculated, in which we do not use any cutoff of parameter; the finite analytical expression is also obtained.