A METHOD ON DERIVATION OF GAUGE FIELDS

LIU YAO-YANG

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1982, Vol. 6> Issue(1) : 17-24

A METHOD ON DERIVATION OF GAUGE FIELDS

LIU YAO-YANG

University of Science and Technology of China

Abstract
HTML
Reference
Related

PDF

Abstract：
Usually the study of gauge field is based on the wave function. By discussing thebehaviour of Dirac particles in gravitation, one has a famous difficulty, that is, thewave functions appear as scalars under general coordinate transformations. In thispaper, a method is suggested to constitute the gauge fields directly from algebraicstructures, Lie algebra and Jordan algebra. We introduce a concept called represen-tation group of algebras, the transformations, of wave function are connected with therepresentation group. The global and local representation groups are connected withglobal and local transformations of wave function respectively. According to thismethod we find that it is equivalent to the usual one for all of the problems concernedwith internal freedom as Yang-Mills field etc. For spinors, one can introduce gravi-tation by changing the algebraic structure, one find that the vierbein is unneccessaryand the wave functions transform as spinors corresponding to Dirac theory. Somerelated problems are also discussed.

References

[1]

C. N. Yang and R. Mills, Phys. Rev., 96(1954), 191.[2] R. Utiyama, Phys. Rev., 101(1956), 1597.[3] H. Weyl, Zeits. Phys., 56(1929), 330; D. Brill and J. A. Wheeler, Rev.Mod. Phys., 59(1957),465.[4] M. J. G. Veltman,"Method in Field Theory",Ede. R. Balian and J. Zin-Justin, 1976(North-Holland, Amsterdam New York Oaford).[5] P. A.M.Dime, The Principles of Quantum Mechanics, 4th. ed. 1958(Oxford Press).[6] В. И. Синрнов, Курс Высшей Математики, ТШ-1, ГИТТЛ, 1954 (Москва).[7] J. D. Bjorken and S. D. Drell, Relativistic Quantum Fields. 1956 (McGraw-Hill Book Company)[8] W. Pauli,Ann. Inst. Poincaré, 6(1936), 106.[9] C. J. Ieham. A. Balam and J. Strathdee. Lett. Nuovo Cim.,5(1972), 969; C. Biraran and K. P. Sinha, Lett. Nuoro Cim.,13(1975),357;Phys. Rep.,51(1979), 111.

[1]	YIN Yu-Dong , HUANG Tao . Stability of the Classical Solutions of Gauge Theory. Chinese Physics C, 2002, 26(1): 28-34.
[2]	Wang Jiahui . Phase Structure of Z₃ Lattice Gauge Theory Coupled With the Higgs Field. Chinese Physics C, 1999, 23(4): 352-359.
[3]	Wang Jiahui . Phase Structure of Z₄ Lattice Gauge Theory Coupled to the Higgs Field. Chinese Physics C, 1995, 19(6): 519-526.
[4]	MA Zhong-Qi . A Conjecture for the Effecture Condition of Jimbo's Method. Chinese Physics C, 1992, 16(4): 352-358.
[5]	ZHENG Bo , GUO Shuo-Hong . A SOLVABLE 1+1-DIMENSIONAL U(1) GAUGE THEORY. Chinese Physics C, 1990, 14(2): 152-155.
[6]	BIAN Jian-Guo . A REAL-SPACE RENORMALIZATION-GROUP ANALYSIS FOR Z₂ LATTICE GAUGE THEORY COUPLED TO A HIGGS FIELD. Chinese Physics C, 1989, 13(1): 29-34.
[7]	HE Xiang-Hao , XIAN Ding-Chang , SONG Yong-Shen . A VARIATIONAL METHOD IN LATTICE GAUGE THEORY BASED ON HÖLDER INTEGRAL INEQUALITY. Chinese Physics C, 1985, 9(5): 629-634.
[8]	XUE She-Sheng , XIAN Ding-Chang . A LOCALLY GAUGE INVARIANT MEAN FIELD STUDY OF THE Yang-Mills-Higgs FIELD COUPLING SYSTEM ON LATTICE. Chinese Physics C, 1985, 9(2): 174-182.
[9]	RUAN Tu-Nan , JING Si-Cong , LIU Zu-Wei . LATTICE FORMULATION OF THE PURE GAUGE FIELDS ON COSET SPACE. Chinese Physics C, 1983, 7(5): 550-559.
[10]	SHEN Wen-Qing . A METHOD OF DATA ANALYSIS OF THE MAGNETIC SPECTROMETER. Chinese Physics C, 1983, 7(3): 361-369.
[11]	LIU YAO-YANG . CRAVITATION AND SPINOR GAUGE FIELD. Chinese Physics C, 1982, 6(3): 306-316.
[12]	Wu Dan-di , Li Tie-zhong . A MODEL TO CALCULATE K-M MATRIX USING HORIZONTAL GAUGE. Chinese Physics C, 1980, 4(4): 455-458.
[13]	Kuang Yu-ping , Yi Yu-ping . WARD-TAKAHASHI IDENTITIES FOR GAUGE.GHOST FIELD PROPER VERTICES. Chinese Physics C, 1980, 4(3): 286-290.
[14]	YAN MU-LIN , BAO XI-MING , ZHAO BAO-HENG . CANONICAL QUANTIZATION OF GAUGE FIELDS (Ⅲ)——GRAVITATIONAL FIELD. Chinese Physics C, 1979, 3(5): 582-594.
[15]	HE ZUO-XIU , HUANG TAO . A NEW APPLICATION OF THE FIELD-CURRENT RELATIONS. Chinese Physics C, 1979, 3(1): 97-101.
[16]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS(Ⅱ)——SPONTANEOUSLY BROKEN GAUGE FIELDS. Chinese Physics C, 1979, 3(1): 52-59.
[17]	ZHAO BAO-HENG , YAN MU-LIN . CANONICAL QUANTIZATION OF GAUGE FIELDS (I)——THE YANG-MILLS FIELD. Chinese Physics C, 1978, 2(6): 501-510.
[18]	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.
[19]	YUAN TU-NAN , TU TUNG-SHENG . STRONG INTERACTION AND CHIRAL GAUGE FIELD. Chinese Physics C, 1978, 2(6): 481-487.
[20]	GU CHAO-HAO . THE LOOP PHASE-FACTOR APPROACH TO GAUGE FIELDS. Chinese Physics C, 1978, 2(2): 97-108.

Access

Get Citation

LIU YAO-YANG. A METHOD ON DERIVATION OF GAUGE FIELDS[J]. Chinese Physics C, 1982, 6(1): 17-24.

LIU YAO-YANG. A METHOD ON DERIVATION OF GAUGE FIELDS[J]. Chinese Physics C, 1982, 6(1): 17-24. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1979-04-03
Revised: 1980-07-05

Article Metric

Article Views(1845)
PDF Downloads(284)
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

A METHOD ON DERIVATION OF GAUGE FIELDS

LIU YAO-YANG

University of Science and Technology of China

Received Date: 1979-04-03
Accepted Date: 1980-07-05
Available Online: 1982-02-05

Abstract: Usually the study of gauge field is based on the wave function. By discussing thebehaviour of Dirac particles in gravitation, one has a famous difficulty, that is, thewave functions appear as scalars under general coordinate transformations. In thispaper, a method is suggested to constitute the gauge fields directly from algebraicstructures, Lie algebra and Jordan algebra. We introduce a concept called represen-tation group of algebras, the transformations, of wave function are connected with therepresentation group. The global and local representation groups are connected withglobal and local transformations of wave function respectively. According to thismethod we find that it is equivalent to the usual one for all of the problems concernedwith internal freedom as Yang-Mills field etc. For spinors, one can introduce gravi-tation by changing the algebraic structure, one find that the vierbein is unneccessaryand the wave functions transform as spinors corresponding to Dirac theory. Somerelated problems are also discussed.