On the Quantization of Interacting Fields in QED

Wang Renchuan; Zhu Dongpei

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

Abstract
HTML
Reference
Related

PDF

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）.

[1]	WANG Ju-Xia , YANG Zhi-Yong , AN Yu-Ying . Quantum Information Transfer in the Process of Coupled Atoms Interacting with Cavity Fields. Chinese Physics C, 2007, 31(2): 204-208.
[2]	FANG Jie , HOU De-Fu . On Debye Mass in Hot Dense QED. Chinese Physics C, 2004, 28(6): 617-620.
[3]	LI Xi-Guo , SONG Jian-Jun , XING Yong-Zhong , ZUO Wei . Quantization of the Periodic Orbits and Long-Range Correlations in Quantum Spectra. Chinese Physics C, 2002, 26(5): 484-490.
[4]	XIAO Jun , WANG En-Ke . Bremsstrahlung Radiative Correction in QED at Finite Temperature. Chinese Physics C, 2001, 25(8): 772-779.
[5]	Jiang Jinhuan , Li Ziping . Quantization of a Scalar QED With Chern-Simons Term in the Batalin-Fradkin-Vilkovisky Scheme. Chinese Physics C, 1999, 23(8): 784-789.
[6]	Bai Xinhua , Hu Jimin . Pairing Interction between Neutrons and Netron Halo in Light Nuclei. Chinese Physics C, 1997, 21(10): 932-936.
[7]	Wang Xin , Li Jiarong . Dimensional Regularization in Imaginary-Time Temperature Field Theory and Thermodynamic Potential of Two-Loop QED. Chinese Physics C, 1997, 21(3): 216-226.
[8]	Wang Renchuan , Zhu Dongpei . Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(S4): 357-366.
[9]	Miao Yangang , Liu Yaoyang . Faddeev-Jackiw Quantitation of a Theory of Self-Dual Fields Interacting with Gauge Fields. Chinese Physics C, 1994, 18(1): 58-61.
[10]	MIAO Yan-Gang . BFV Quantization of the Bosonized Schwinger Model. Chinese Physics C, 1993, 17(5): 407-411.
[11]	FAN Xiao-Ling , ZHANG Chun-Sheng . A Parametrization Model of Hadron-Hadron Nuclear Interaction. Chinese Physics C, 1992, 16(2): 97-104.
[12]	FAN Xiao-Ling , ZHANG Chun-Sheng . Application of Hadron-Hadron Nuclear Interaction Parametrization Model in the Study of Superhigh Energy Cosmic Rays. Chinese Physics C, 1992, 16(4): 289-296.
[13]	Bruce H , WU Dan-Di , . Is There a New Parameter in QED. Chinese Physics C, 1991, 15(10): 956-960.
[14]	LIAO Ji-Zhi . APPLICATIONS OF THE MODIFIED SURFACE DELTA INTERACTION IN THE ANGULAR MOMENTUM PROJECTION DEFORMED HAREE-FOCK METHOD. Chinese Physics C, 1989, 13(4): 357-361.
[15]	YANG Xin-Hua , CHENG Tan-Sheng , ZHONG Yu-Shu . N-N INTERACTION IN THE DEFORMED MESON CLOUD BAG MODEL. Chinese Physics C, 1988, 12(2): 211-213.
[16]	CHEN Ren . STOCHASTIC QUANTIZATION WITH SPIN 3/2 FIELD. Chinese Physics C, 1987, 11(2): 157-163.
[17]	HU Bing-Quan , HE Qi-Zhi , ZHANG Zhao-Xi , AN Ying . THE EFFECTIVE INTERMEDIATE RANGE INTERACTION IN BARYON SPECTROSCOPY AND ITS EFFECT ON N-N INTERATION. Chinese Physics C, 1986, 10(6): 677-683.
[18]	LI Yang-Guo , MA Wei-Xing . S-WAVE πN INTERACTION IN (π⁺d) REACTION. Chinese Physics C, 1985, 9(3): 291-299.
[19]	Wu Jing-yuan . QUANTIZATION OF THE PHOTON FIELD AND DIPOLE GHOSTS. Chinese Physics C, 1980, 4(3): 291-301.
[20]	GU CHAO-HAO . THE U₁ GAUGE FIELD IN A SU_N GAUGE FIELD AND THE QUANTIZED VALUES OF DUAL CHARGES. Chinese Physics C, 1978, 2(4): 295-304.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3591)
PDF Downloads(515)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, bchen63@163.com

1.
沈阳化工大学材料科学与工程学院沈阳 110142

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.