Chinese Physics C > 1982, Vol. 6 > Issue(3): 306-316

CRAVITATION AND SPINOR GAUGE FIELD

LIU YAO-YANG

University of Science and Technology of China

Abstract
HTML
Reference
Related

PDF

Abstract：
Basing on the Lorentz covariance and SO(4, 2) symmetry of Dirac theory, anobvious covariant theory of spinor gauge field is obtained by expanding the Lorentztransformation to general coordinate tranformation and making the SO(4, 2) to belocalized. We have proved that, by the gauge independence, the symmetrygroup is reduced to the localized rotation of Lorentz group in Riemann space automa-tically. So our theory is the natural generalization of Dirac theory in curved space.We have also proved that, the spinor gauge field can not appear in flat space, thenthe existence of spinor gauge field is closely related to the curvature. The differencesbetween our theory and Utiyama and Kibble theories are also discussed, and it is poin-ted out that the so-called scalar property of Dirac wave function in general relativity isa misunderstanding caused by the unobvious covariance of those theories, even inthose theories We can not distinguish what is the genuine gauge. field and what is theeffect of the structure of space. In obvious covariant theory this paradox disappears.

References

[1]

C. N. Yang and R. L. Mills, Phys. Rev., 96(1954),191.[2] E. S. Abers and B. W. Lee, Phys. Reports, 9(1973),1.[3] A. Einstein, Ann. der physik, 49(1916),769.[4] R. Ltiyama, Phys. Rev., 101(1956),1597.[5] D. Brill and J. A. Wheeler, Rev. Mod. Phys., 29(1957), 465.[6] T.W.B.Kibble, J. Math. Phys. 2(1961), 212.F. W. Hehl, P. Von der Heyde, G. D. gerlick, and J.M.Neater, Rev. Mod. Phys., 48(1976),393.[7] 刘耀阳,高能物理与核物理,1(1981), 17.[8] M.J. G. Veltman,in Methad in Field Theory, eds. R.Balian and J. Zin-Juatin (1976, North-Holland Publishing Company, Amsterdam: New York.Oxford).[9] A. O. Barut, Phys. Rev., 135(1964), B839.[10] H. Weyl, Zeits. Phys,56(1929), 330.[11] A. Belavin, A. Polyakov, A. Schwartz and Y. Tyupkin, Phys. Lett., 59B(1975), 85.[12] 我要特别感谢杨振宁教授提醒我注意到这一点.[13] B. Weinberg, Gravitation and Cosmology: Principles ,and Applieatione of the General Theory of Relativity (Wiley New York, 1972).[14] C.N.Yang,Phys .Lett., 33(1974), 445.

[1]	GUO Wen-Jun,LIU Jian-Ye,YANG Yan-Fang,ZUO Wei,ZHAO Qiang. Importance of Momentum Dependence Interactionon the Isospin Dependence of the Mean Field. Chinese Physics C, 2002, 26(7): 690-695.
[2]	LIU Yao-Yang,SUN La-Zhen,ZHANG Yuan-Zhong,JIANG Xiang-Dong. Unifying Gauge Interaction and Gravity in Vector-Like Standard Model. Chinese Physics C, 2002, 26(4): 319-324.
[3]	YIN Yu-Dong,HUANG Tao. Stability of the Classical Solutions of Gauge Theory. Chinese Physics C, 2002, 26(1): 28-34.
[4]	Wang Jiahui. Phase Structure of Z₃Lattice Gauge Theory Coupled With the Higgs Field. Chinese Physics C, 1999, 23(4): 352-359.
[5]	Liu Yaoyang,Sun Lazhen,Jiang Xiangdong. Unification of Gauge Interactions and Gravitation. Chinese Physics C, 1999, 23(11): 1054-1061.
[6]	Wang Jiahui. Phase Structure of Z₄Lattice Gauge Theory Coupled to the Higgs Field. Chinese Physics C, 1995, 19(6): 519-526.
[7]	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.
[8]	Wang Wenfu,Tao Caide,Shen Yougen. Quantum Wormhole with Spinor Field. Chinese Physics C, 1994, 18(1): 52-57.
[9]	BIAN Jian-Guo. A REAL-SPACE RENORMALIZATION-GROUP ANALYSIS FOR Z₂LATTICE GAUGE THEORY COUPLED TO A HIGGS FIELD. Chinese Physics C, 1989, 13(1): 29-34.
[10]	HOU Bo-Yu,SHI Kang-Jie,WANG Yu-Bin,HOU Bo-Yuan,WANG Pei. THE NON-SELFDUAL SOLUTIONS OF CP(n) CHIRAL THEORY AND CORRESPONDING GAUGE FIELDS. Chinese Physics C, 1983, 7(2): 150-159.
[11]	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.
[12]	LIU YAO-YANG. A METHOD ON DERIVATION OF GAUGE FIELDS. Chinese Physics C, 1982, 6(1): 17-24.
[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]	ZHAO BAO-HENG,YAN MU-LIN. CANONICAL QUANTIZATION OF GAUGE FIELDS(Ⅱ)——SPONTANEOUSLY BROKEN GAUGE FIELDS. Chinese Physics C, 1979, 3(1): 52-59.
[15]	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.
[16]	GU CHAO-HAO. THEU₁GAUGE FIELD IN ASU_NGAUGE FIELD AND THE QUANTIZED VALUES OF DUAL CHARGES. Chinese Physics C, 1978, 2(4): 295-304.
[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 LOOP PHASE-FACTOR APPROACH TO GAUGE FIELDS. Chinese Physics C, 1978, 2(2): 97-108.
[19]	YUAN TU-NAN,TU TUNG-SHENG. STRONG INTERACTION AND CHIRAL GAUGE FIELD. Chinese Physics C, 1978, 2(6): 481-487.
[20]	WU YONG-SHI,CHEN SHIH,TU TUNG-SHENG,GUO HAN-YING. DUAL CHARGES OF A SUBGROUP IN GAUGE THEORIES——MAGNETIC MONOPOLES OFSU₂&SO₃GAUGE FIELD. Chinese Physics C, 1977, 1(1): 52-64.

Access

Get Citation

LIU YAO-YANG. CRAVITATION AND SPINOR GAUGE FIELD[J]. Chinese Physics C, 1982, 6(3): 306-316.

LIU YAO-YANG. CRAVITATION AND SPINOR GAUGE FIELD[J]. Chinese Physics C, 1982, 6(3): 306-316. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1980-10-13
Revised: 1900-01-01

Article Metric

Article Views(3113)
PDF Downloads(250)
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

CRAVITATION AND SPINOR GAUGE FIELD

LIU YAO-YANG

University of Science and Technology of China

Received Date:1980-10-13
Accepted Date:1900-01-01
Available Online:1982-06-05

Abstract:Basing on the Lorentz covariance andSO(4, 2) symmetry of Dirac theory, anobvious covariant theory of spinor gauge field is obtained by expanding the Lorentztransformation to general coordinate tranformation and making theSO(4, 2) to belocalized. We have proved that, by the gauge independence, the symmetrygroup is reduced to the localized rotation of Lorentz group in Riemann space automa-tically. So our theory is the natural generalization of Dirac theory in curved space.We have also proved that, the spinor gauge field can not appear in flat space, thenthe existence of spinor gauge field is closely related to the curvature. The differencesbetween our theory and Utiyama and Kibble theories are also discussed, and it is poin-ted out that the so-called scalar property of Dirac wave function in general relativity isa misunderstanding caused by the unobvious covariance of those theories, even inthose theories We can not distinguish what is the genuine gauge. field and what is theeffect of the structure of space. In obvious covariant theory this paradox disappears.