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]	D. N. Makarov , V. I. Matveev . New-type internal target for structural ion stripping. Chinese Physics C, 2018, 42(1): 017001. doi: 10.1088/1674-1137/42/1/017001
[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]	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
[5]	LI Xin , CHANG Zhe . Spacetime structure of MOND with Tully-Fisher relation and Lorentz invariance violation. Chinese Physics C, 2013, 37(12): 123103. doi: 10.1088/1674-1137/37/12/123103
[6]	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
[7]	Eberhard Klempt . Nucleon excitations. Chinese Physics C, 2010, 34(9): 1241-1246. doi: 10.1088/1674-1137/34/9/017
[8]	Atashbar Tehrani . Nucleon/nuclei polarized structure function, using Jacobi polynomials expansion. Chinese Physics C, 2010, 34(9): 1534-1537. doi: 10.1088/1674-1137/34/9/093
[9]	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
[10]	WANG Yan-Zhao , ZHANG Hong-Fei , GAO Yong-Hua , HOU Zhao-Yu , DONG Jian-Min , DUAN Chun-Gui , ZUO Wei . Quark distributions in nuclei and nuclear effects on nucleon structure functions. Chinese Physics C, 2009, 33(4): 263-268. doi: 10.1088/1674-1137/33/4/005
[11]	WAN Meng , TIAN Wei-Zhao , CHEN Hong . Contributions of qqqq q components to nucleon spin structure. Chinese Physics C, 2009, 33(S1): 18-20. doi: 10.1088/1674-1137/33/S1/006
[12]	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
[13]	ZHANG Gao-Long , LE Xiao-Yun . Double folding model calculation applied to fusion reactions. Chinese Physics C, 2008, 32(10): 812-815. doi: 10.1088/1674-1137/32/10/009
[14]	Yang Jianjun , Ma Boqiang , Li Guanglie . Nonperturbative Quark Propagator and Study of Nontrivial Q-Dependence in Nucleon Structure Functions. Chinese Physics C, 1997, 21(S1): 471-482.
[15]	Zhao Peiying , Wu Jimin . Phase Structure of U(l) Lattice Gauge Theory by Variational Study with Independent Plaquette Effective Action. Chinese Physics C, 1996, 20(S1): 47-54.
[16]	Wang Renchuan , Zhu Dongpei . Quantization of Interacting Fields in QED. Chinese Physics C, 1994, 18(S4): 357-366.
[17]	Cao Zhijun , Shen Jianping , Li Guanglie . The Role of Nucleon-Nucleon Short-Range Correlations in the Nuclear Structure Function in the x > 1 Region. Chinese Physics C, 1989, 13(S3): 281-288.
[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(2319)
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.

HTML

Reference (1)

Gauge invariance and quantization applied to atom and nucleon internal structure

Abstract：

References

Access

Article Metrics

Metrics

通讯作者: 陈斌, bchen63@163.com

Email This Article