Gauge invariance and quantization applied to atom and nucleon internal structure

WANG Fan; CHEN Xiang-Song; LU Xiao-Fu; SUN Wei-Min

doi:10.1088/1674-1137/34/9/031

Chinese Physics C> 2010, Vol. 34> Issue(9) : 1312-1319 DOI: 10.1088/1674-1137/34/9/031

Gauge invariance and quantization applied to atom and nucleon internal structure

Abstract
HTML
Reference
Related

PDF

Abstract：
The prevailing theoretical quark and gluon momentum, orbital angular momentum and spin operators, satisfy either gauge invariance or the corresponding canonical commutation relation, but one never has these operators which satisfy both except the quark spin. The
conflicts between gauge invariance and the canonical quantization requirement of these operators are discussed. A new set of quark and gluon momentum, orbital angular momentum and spin operators, which satisfy both gauge invariance and canonical momentum and angular momentum commutation relation, are proposed. To achieve such a proper decomposition the key point is to separate the gauge field into the pure gauge and the gauge covariant parts. The same conflicts also exist in QED and quantum mechanics, and have been solved in the same manner. The impacts of this new decomposition to the nucleon internal structure are discussed.

References

[1]

. Strocchi F, Wightman A S J. Math. Phys., 1974, 15: 2198-22242. CHEN X S, WANG F. hep-ph/98023463. Jauch J M, Rohrlich F. The Theory of Photons andElectrons. Berlin: Springger, 1976. Berestetskii V B, Lif-shitz E M, Pitaevskii L P. Quantum Electrodynamics. Ox-ford: Pergamon, 1982. Cohen-Tannoudji C, Dupont-Roc J,Grynberg G. Photons and Atoms. New York: Wiley, 19874. Goldman T. Phys. Rev. D, 1977, 15: 1063-10675. CHEN X S, LU X F, SUN W M, WANG F, Goldman T.Phys. Rev. Lett., 2008, 100: 232002-1-46. JI X D. Phys. Rev. Lett., 1997, 78: 610-613; CHEN X S,WANG F. Commun. Theor. Phys., 1997, 27: 121-1247. JI X, TANG J, Hoodbhoy P. Phys. Rev. Lett. 1996, 76:740-743

[1]	Jinn-Ouk Gong , Seong Chan Park . A minimal gauge inflation model. Chinese Physics C, 2018, 42(9): 095102. doi: 10.1088/1674-1137/42/9/095102
[2]	null . Scale-invariance in soft gamma repeaters. Chinese Physics C, 2017, 41(6): 065104. doi: 10.1088/1674-1137/41/6/065104
[3]	Zhe Chang , Xin Li , Hai-Nan Lin , Yu Sang , Ping Wang , Sai Wang . Constraining Lorentz invariance violation from the continuous spectra of short gamma-ray bursts. Chinese Physics C, 2016, 40(4): 045102. doi: 10.1088/1674-1137/40/4/045102
[4]	QI Jian-Min , ZHANG Fa-Qiang , CHEN Jin-Chuan , XIE Hong-Wei . Experimental research on performances of the imaging plates applied in gamma-ray imaging. Chinese Physics C, 2014, 38(1): 016001. doi: 10.1088/1674-1137/38/1/016001
[5]	ZHOU Liang , LIU Zhong-Chuan , LIU Peng , DONG Yu-Hui . Direct demodulation method for heavy-atom positions determination in protein crystallography. Chinese Physics C, 2013, 37(1): 018002. doi: 10.1088/1674-1137/37/1/018002
[6]	Farrin Payandeh , Toradj Mohammad , Mohsen Fathi , Zahra Gh . A Krein quantization approach to Klein paradox. Chinese Physics C, 2013, 37(11): 113103. doi: 10.1088/1674-1137/37/11/113103
[7]	WANG Ping . New quantization conditions for field theory without divergence. Chinese Physics C, 2011, 35(3): 223-227. doi: 10.1088/1674-1137/35/3/003
[8]	Eberhard Klempt . Nucleon excitations. Chinese Physics C, 2010, 34(9): 1241-1246. doi: 10.1088/1674-1137/34/9/017
[9]	Huey-Wen Lin . Lattice results on nucleon/roper properties. Chinese Physics C, 2009, 33(12): 1238-1243. doi: 10.1088/1674-1137/33/12/030
[10]	MA Zhong-Jian , WANG Qing-Bin , WU Qing-Biao . Simulation of a modified neutron detector applied in CSNS. Chinese Physics C, 2009, 33(1): 54-57. doi: 10.1088/1674-1137/33/1/012
[11]	WANG Fan , CHEN Xiang-Song , SUN Wei-Min , . Nucleon internal structure: a new set of quark, gluon momentum, angular momentum operators and parton distribution functions. Chinese Physics C, 2009, 33(12): 1197-1204. doi: 10.1088/1674-1137/33/12/023
[12]	YANG Jin-Long , HUANG Yong-Chang . Improved Faddeev-Jackiw quantization of the electromagnetic field and Lagrange multiplier fields. Chinese Physics C, 2008, 32(10): 788-792. doi: 10.1088/1674-1137/32/10/004
[13]	LIU Yan-Rui , ZHU Shi-Lin . Δ contribution to the parity-violating nucleon-nucleon force. Chinese Physics C, 2008, 32(9): 700-704. doi: 10.1088/1674-1137/32/9/005
[14]	Wei Zhiyong , Zhu Yongtai . Influence of IMF Internal Excitation on the Extraction of the Isotope Nuclear Temperature. Chinese Physics C, 1997, 21(S3): 57-62.
[15]	Fan Tieshuan , Hu Jimin , Bao Shanglian . Multichannel Fission Model Applied to ^233,235,238U(n,f). Chinese Physics C, 1996, 20(S2): 187-195.
[16]	Shen Xiaoyan , Shen Pengnian , Yu Youwen , Zhang Zongye . Color Screening Effect and Nucleon-Nucleon Interaction. Chinese Physics C, 1993, 17(S2): 207-213.
[17]	Cheng Zitao , Qian Qing , Fu Yunchang , Chen Xuejun . Study of Antihydrogen-Atom Formation in Antiproton-Positronium Collisions. Chinese Physics C, 1993, 17(S2): 171-178.
[18]	Chen Qizhou , Liu Jinming , Xue Xun , Zheng Weihong , Guo Shuohong . The Mean-plaquette Internal Energy for SU(3) Gauge Theory in Cumulant Expansion. Chinese Physics C, 1989, 13(S4): 371-378.
[19]	He Zhenmin , Hou Yunzhi . Nuclear Effect on the Nucleon Structure Functions and High P_T Jet Production in p-Fe Collisions. Chinese Physics C, 1988, 12(S3): 245-250.
[20]	Jing Sicong , and Ruan Tunan . Quantization of Pure Gauge Fields on Coset Space of Abelian Chiral Group. Chinese Physics C, 1988, 12(S4): 347-358.

Access

Get Citation

WANG Fan, CHEN Xiang-Song, LU Xiao-Fu and SUN Wei-Min. Gauge invariance and quantization applied to atom and nucleon internal structure[J]. Chinese Physics C, 2010, 34(9): 1312-1319. doi: 10.1088/1674-1137/34/9/031

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2010-03-04
Revised: 1900-01-01

Article Metric

Article Views(2402)
PDF Downloads(401)
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

Gauge invariance and quantization applied to atom and nucleon internal structure

Corresponding author: WANG Fan,

Received Date: 2010-03-04
Accepted Date: 1900-01-01
Available Online: 2010-09-05

Abstract:

The prevailing theoretical quark and gluon momentum, orbital angular momentum and spin operators, satisfy either gauge invariance or the corresponding canonical commutation relation, but one never has these operators which satisfy both except the quark spin. The
conflicts between gauge invariance and the canonical quantization requirement of these operators are discussed. A new set of quark and gluon momentum, orbital angular momentum and spin operators, which satisfy both gauge invariance and canonical momentum and angular momentum commutation relation, are proposed. To achieve such a proper decomposition the key point is to separate the gauge field into the pure gauge and the gauge covariant parts. The same conflicts also exist in QED and quantum mechanics, and have been solved in the same manner. The impacts of this new decomposition to the nucleon internal structure are discussed.