THE PERTURBATION EXPANSION OF THE QUANTIZED COMPOSITE FIELD THEORY AND GAUGE INVARIANCE

CHANG CHAO-SHIE; HO TSU-HSIU

Chinese Physics C> 1978, Vol. 2> Issue(2) : 119-130

THE PERTURBATION EXPANSION OF THE QUANTIZED COMPOSITE FIELD THEORY AND GAUGE INVARIANCE

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper we introduce the concept of "same order" in the perturbution expansion of the quatized composite field theory which is different from single particle theory. For example, in the case of Q. E. D., "same order" is defined by means of a coupling constant, but here it closely relates the operators occuring in the B. S. equations. Feymann graphs of the "same order" are defined for different kinds of transitions in the composite field theory. Finally, we prove that guage invariance is a natural result as long as all "same order" Feymann graphs are calculated for an electromagnetic transition between composite particles.

References

[1]	何柞麻、张荣西、黄涛，物理学报，25 (1976)， 215.[2] J. D. Bjorken, S. D. Drell, 《Relatirittic Quantum Fields》.[3] 可参看H. H.波戈留波夫，八.B.希尔科夫，《量场论导引》.[4] G. 't Hooft, M. T. Veltman, Nucl. Phys., 44B (1973) 189.[5] 何柞麻、张旅西，物理学报. 26 (1977), 540.

[1]	LIAO Yi . Field Theory on Non-commutative Space-Time and Some Related Phenomenology. Chinese Physics C, 2007, 31(9): 860-863.
[2]	WANG Hong-Min , SUN Xian-Jing , HOU Zhao-Yu . Next-to-Leading Order QCD Corrections to Energy Loss Effect in Drell-Yan Process. Chinese Physics C, 2006, 30(7): 628-632.
[3]	ZHENG Qiao , HOU Zhao-Yu , GAO Yong-Hua , ZHANG Ben-Ai . Affection of QCD Non-Perturbation and Energy Loss Effect to the Quark Distributions. Chinese Physics C, 2004, 28(7): 711-716.
[4]	YU Yun-Wei , ZHENG Xiao-Ping . Bulk Viscosity of Strange Quark Matter at First-Order Perturbative QCD Approximation. Chinese Physics C, 2004, 28(3): 258-261.
[5]	SU Jian , MA Bo-Qiang . Applicability of Perturbative QCD to Virtual Compton Scattering. Chinese Physics C, 2004, 28(2): 116-121.
[6]	HE Han-Xin . Symmetry Relations and the Consistent Nonperturbative Approach of Studying Hadronic Physics. Chinese Physics C, 2002, 26(S1): 73-76.
[7]	Li GuangLie , Yang JianJun , Shen HongQing . Study of Nonperturbative Corrections to the One-Gluon-Exchange Potentential. Chinese Physics C, 2000, 24(5): 384-389.
[8]	ZHANG PengFei , RUAN TuNan . Spin Operators in the Quantum Field Theory. Chinese Physics C, 2000, 24(8): 775-779.
[9]	Yang Jianjun , Li Guanglie , Huang Tao , Shen Hongqing . Nonperturbative QCD Corrections to One-Gluon Exchange Quark Potentials Under Lorentz Gauge Condition. Chinese Physics C, 1999, 23(7): 665-680.
[10]	Yang Jianjun , Ma Boqiang , Li Guanglie . Non-perturbative Quark Propagator and the Study of the Non-trivial Q² Dependence in the Nucleon Structure Functions. Chinese Physics C, 1997, 21(2): 146-156.
[11]	Chen Hong , Zhang Zongye . Nonperturbative Effect of Nonstrange Baryonic Spectrum. Chinese Physics C, 1996, 20(10): 937-944.
[12]	PENG Hong-An . Investigations of Infrared Divergence in Quantum Field Theory from Unitarities and Analyticities. Chinese Physics C, 1992, 16(10): 891-899.
[13]	MA Bo-Qiang , SUN Ji . THE EMC EFFECT AND THE LIGHT-CONE QUANTUM FIELD THEORY. Chinese Physics C, 1990, 14(8): 684-691.
[14]	HUANG Chao-Hui , WANG De-An , MA Wei-Xing . THE QUARK DEGREES OF FREEDOM IN HIGH ENERGY COMPOSITE PARTICLE SCATTERING. Chinese Physics C, 1989, 13(6): 535-538.
[15]	YANG Xin-E . THE COMPOSITE MODEL OF LEPTON AND QUARK WITH ONLY ONE CONSTITUENT SCALAR. Chinese Physics C, 1985, 9(5): 537-541.
[16]	HUANG Tao , XIE Yi-Cheng . ON THE POSSIBILITY OF W, Z AS COMPOSITE PARTICLES. Chinese Physics C, 1984, 8(5): 637-641.
[17]	HUANG XIAO-WU . CALCVLATION OF MESON DECAY WIDTH OF BY THE COMPOSITE FIELD THEORY. Chinese Physics C, 1982, 6(4): 409-412.
[18]	RUAN TU-NAN , HE ZUO-XIU , HUANG TAO . ON THE CONJUGATE FIELD QUANTITY AND THE DEFINITION OF THE RELATIVISTIC WAVE FUNCTION IN THE COMPOSITE FIELD THEORY. Chinese Physics C, 1979, 3(3): 272-276.
[19]	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.
[20]	YIN PONG-CHENG . QUANTUM EXPANSION AROUND THE VERTEX TYPE SOLUTION OF N-O MODEL. Chinese Physics C, 1978, 2(3): 193-199.

Access

Get Citation

CHANG CHAO-SHIE and HO TSU-HSIU. THE PERTURBATION EXPANSION OF THE QUANTIZED COMPOSITE FIELD THEORY AND GAUGE INVARIANCE[J]. Chinese Physics C, 1978, 2(2): 119-130.

CHANG CHAO-SHIE and HO TSU-HSIU. THE PERTURBATION EXPANSION OF THE QUANTIZED COMPOSITE FIELD THEORY AND GAUGE INVARIANCE[J]. Chinese Physics C, 1978, 2(2): 119-130. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1977-09-29
Revised: 1900-01-01

Article Metric

Article Views(1981)
PDF Downloads(281)
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

THE PERTURBATION EXPANSION OF THE QUANTIZED COMPOSITE FIELD THEORY AND GAUGE INVARIANCE

CHANG CHAO-SHIE
HO TSU-HSIU

Received Date: 1977-09-29
Accepted Date: 1900-01-01
Available Online: 1978-04-05

Abstract: In this paper we introduce the concept of "same order" in the perturbution expansion of the quatized composite field theory which is different from single particle theory. For example, in the case of Q. E. D., "same order" is defined by means of a coupling constant, but here it closely relates the operators occuring in the B. S. equations. Feymann graphs of the "same order" are defined for different kinds of transitions in the composite field theory. Finally, we prove that guage invariance is a natural result as long as all "same order" Feymann graphs are calculated for an electromagnetic transition between composite particles.