On the Quantization of Interacting Fields in QED

Wang Renchuan; Zhu Dongpei

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1994, Vol. 18> Issue(11) : 1012-1019

On the Quantization of Interacting Fields in QED

Wang Renchuan ^, ,
Zhu Dongpei

Center For Fundamental Physics,University of Science and Technology of China,Hefei 2300262 Department of Modern Physics,University of Science and Technology of China,Hefei 230026

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Abstract：
We propose a new quantization scheme with which and the equation of motion the quantization problem of both independent and dependent interacting fields in QED can be solved simultaneously.When the external gauge field Aμ(s)≠0(i.e.the Fermion field ￠(x) and the electromagnetic field Aμ(x) are independent) our scheme gives the same result as the usual quantization approach.When the external gauge field is absent the usual quantization conditions are failed since it is not compatible with the equation of motion,meanwhile our scheme is still valid.These results are demonstrated with solvable QED in 1+1 dimension.

References

[1]

B.Klaiber,Lecturesin Theoretical Physics,Boulder Lectures（1967）.[2]J.H.Lowenstein and Swieca,Ann.Phys.（N.Y.）,68（1971）172.[3]R.C.Wang,S.W.ZhangandC.Y.Wong,”The Structure of Solving Fieldin Two Dimensional QED（I）“to be Published.[4]W.Pauli,”Pauli Lecture On Physics:Volume6,Selected Topicsin Field Quantization“EditedbyC.P.Enz,（1973）.[5]S.N.Gupta,”Quantum Electrodynamics“中译本，北师大出版社。[6]P.A.M.Dirac,”Lectureson Quantum Mechanks“Yeshiva Uniy.NewYork,（964）.[7]E.Abdalla et al,”Non-Perturbative Methods in 2 Dimensional Quantum Field Theory“,world Scientific,Singapore,（1991）.

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Wang Renchuan and Zhu Dongpei. On the Quantization of Interacting Fields in QED[J]. Chinese Physics C, 1994, 18(11): 1012-1019.

Wang Renchuan and Zhu Dongpei. On the Quantization of Interacting Fields in QED[J]. Chinese Physics C, 1994, 18(11): 1012-1019. shu

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

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On the Quantization of Interacting Fields in QED

Wang Renchuan ^,
Zhu Dongpei

Corresponding author: Wang Renchuan,

Center For Fundamental Physics,University of Science and Technology of China,Hefei 2300262 Department of Modern Physics,University of Science and Technology of China,Hefei 230026

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1994-11-05

Abstract: We propose a new quantization scheme with which and the equation of motion the quantization problem of both independent and dependent interacting fields in QED can be solved simultaneously.When the external gauge field Aμ(s)≠0(i.e.the Fermion field ￠(x) and the electromagnetic field Aμ(x) are independent) our scheme gives the same result as the usual quantization approach.When the external gauge field is absent the usual quantization conditions are failed since it is not compatible with the equation of motion,meanwhile our scheme is still valid.These results are demonstrated with solvable QED in 1+1 dimension.