- 
                        
                                
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
                            
	
			| 
                    [1]
                 | 
			
				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) 
				 | 
		
	
 
                    - 
                    	
	
				| [1] | 
				
					. Testing Einstein-Maxwell Power-Yang-Mills hair via black hole photon rings. Chinese Physics C,
							2026, 50(1): 015101.
							 doi: 10.1088/1674-1137/ae039c
						
					 | 
			
		
				| [2] | 
				
					Hao Wang
								, Zhi Xiao
								, Bing Sun
								. Analytical solutions of CPT-odd Maxwell equations in Schwarzschild spacetime. Chinese Physics C,
							2025, 49(9): 095103.
							 doi: 10.1088/1674-1137/ade541
						
					 | 
			
		
				| [3] | 
				
					LIANG Jun
								, LIU Yan-Chun
								, ZHU Qiao
								. Thermodynamics of noncommutative geometry inspired black holes based on Maxwell-Boltzmann smeared mass distribution. Chinese Physics C,
							2014, 38(2): 025101.
							 doi: 10.1088/1674-1137/38/2/025101
						
					 | 
			
		
				| [4] | 
				
					A.G.Drentje
								. Gas-mixing: Ion Cooling or Reduced Turbulent Heating?. Chinese Physics C,
							2007, 31(S1): 162-164. | 
			
		
				| [5] | 
				
					HU Xi-Duo
								, SHAO Ming-Zhu
								, LUO Shi-Yu
								, LIU Yong-Sheng
								, ZHU De-Hai
								. Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C,
							2004, 28(2): 196-199. | 
			
		
 
                   	
                    - 
                        
Access
                        
                        
                        
                        
                        
                     
                    
                    - 
                        
 
            
            -