The One Loop Calculation of the Strong coupling β Function in the Toy Model

BAI Zhi-Ming; JIANG Yuan-Fang

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> 1991, Vol. 15> Issue(3) : 213-219

The One Loop Calculation of the Strong coupling β Function in the Toy Model

BAI Zhi-Ming ^, ,
JIANG Yuan-Fang

Department of Physics,East China Normal University,Shanghai 200062

Abstract
HTML
Reference
Related

PDF

Abstract：
In this paper,the background field quantization is used to calculate the one-loop β function in the Toy Model which has the strong coupling and the SU(3) symmetry.the function obtained is consistent with the Appalquist-Carrazone theorem in the low energy condition.

References

[1]

Dewitt B., Phys. Rev., 162(1967), 1195.[2] Weinberg S., Phys. Lett., B91(1980), 51.[3] Abbott L., Nucl. Phys., B185(1981), 189.[4] P. S. Howe and G. Papadopoulos, Nucl. Phys. B296(1988), 26.[5] 胡瑶光,《规范场论》,1984年版.[6] 白志明、蒋元方,“强耗合Toy Model β 月函数性质分析”将在“华东师大学报”1991年第三期发表.[7] G. Passarino and M. Veltan, Nucl. Phys., B160(1979), 151.[8] T. Appelquist and J. Carazzone, Phys. Rev., D11(1975), 2856.

[1]	HU Jun-Hui , WENG Yao , HU Hai-Ming , YANG Yong-Xu , GAO Yuan-Ning , WANG Jun . Measurement of Strong Coupling Constant at Low Energy Range. Chinese Physics C, 2007, 31(6): 518-522.
[2]	SHI Jia-Ru , ZHENG Shu-Xin , CHEN Huai-Bi . Calculating Field Distribution of a Linear Accelerator Using Equivalent Circuit Model. Chinese Physics C, 2006, 30(7): 699-703.
[3]	WAN Ling-De , CAO Jun-Jie . Infrared Divergence in Loop Functions. Chinese Physics C, 2003, 27(5): 381-385.
[4]	DONG Yu-Bing . Study of ΔπN and πNN Couplings. Chinese Physics C, 2001, 25(12): 1178-1183.
[5]	YANG Min , CHEN GuoMing , YANG HaiJun , XIONG ZhaoHua , LU YuSheng , CHEN HeSheng . Measurement of the Cross-Section of Single W Boson Production and the Anomalous Couplings on L3 Experiment. Chinese Physics C, 2000, 24(12): 1073-1080.
[6]	YU YouWen , ZHANG ZongYe . NN Spin-Orbit Force from the Quark-Antiquark Pair Creation Model. Chinese Physics C, 2000, 24(7): 649-655.
[7]	LU GongRu , YUE ChongXing , LI WeiBin , SUN JunFeng . One Loop Effects to the Process e⁺e^－→bs in Topcolor-Assisted Multiscale Technicolor Model. Chinese Physics C, 2000, 24(11): 998-1004.
[8]	Chen Zhongqiu , Shao Changgui , Ma Weichuan . Calculation of Wilson Loop Functionals for Classical and Quantum Gravities. Chinese Physics C, 1998, 22(3): 217-224.
[9]	LI Guang-Hua , HE Hui-Yong . Calculating on Wavefunctions of the Ground State Band for the Strong Coupling SU(3) Limit in IBM4. Chinese Physics C, 1992, 16(3): 278-284.
[10]	SHEN Kun , QIU Zhong-Ping . Electron-Positron Condensate and Non-Topological Soliton Model in the Strong-Coupling Phase of QED. Chinese Physics C, 1991, 15(5): 399-404.
[11]	GAO Dao-Guo . STATIC PHYSICAL PROPERTIES OF HADRONS CALCULATED IN THE SOLITON BAG MODEL WITH PION CLOUD. Chinese Physics C, 1990, 14(7): 596-603.
[12]	LIU Liang-Gang . ONE LOOP RENORMALIZATION OF NUCLEON ENERGY DENSITY IN NUCLEAR MATTER BY CHIRAL σ MODEL. Chinese Physics C, 1990, 14(9): 822-828.
[13]	GAO Dao-Guo . STATIC PHYSICAL PROPORTIES OF HADRONS CALCULATED IN THE SOLITON BAG MODEL. Chinese Physics C, 1989, 13(1): 20-28.
[14]	SHEN Qing-Biao , TIAN Ye , LI Zhu-Xia , ZHUO Yi-Zhong . CALCULATION OF WIDTHS, SPECTRAL FUNCTION AND HOLE OCCUPATION NUMBERS OF SINGLE-PARTICLE STATES. Chinese Physics C, 1985, 9(3): 327-331.
[15]	ZHANG Zhong-Can . STRONG-COUPLING EXPANSION IN σ-MODEL. Chinese Physics C, 1984, 8(6): 677-687.
[16]	SHEN Qi-Xing , WU Ji-Min , LU Jing-Xian , ZHAO Pei-Ying . A METHOD FOR DIRECTLY COMPUTING QCD PREDICTION FOR VALENCE QUARK DISTRIBUTION FUNCTION OF THE HADRONS IN A REASONABLE APPROXIMATION. Chinese Physics C, 1983, 7(2): 170-177.
[17]	WANG Xing-Min , SONG Xiao-Tong , YIN Peng-Cheng . THE REGGE-CORRECTION AND THE SCALING VIOLATION OF HADRION STRUCTURE FUNCTIONS IN BAG MODEL. Chinese Physics C, 1983, 7(2): 160-169.
[18]	LI Chong-Sheng , HU Shi-Ke . ONE LOOP CORRECTIONS OF THE FERMION MASSES AND THE CP-VIOLATION CALCULATIONS OF THE STRONG AND WEAK INTERACTIONS. Chinese Physics C, 1983, 7(3): 333-341.
[19]	SHEN QI-XING , HUANG TAO . THE PSEUDOSCALAR GLUON AND THE HADRON STRUCTURE. Chinese Physics C, 1979, 3(3): 277-284.
[20]	WANG MING-CHUNG , CHENG HSI-THE , HSIEN TING-CHANG , WANG KE-LIN , CHANG CHENG-KANG . THE WAVE FUNCTION OF VECTOR MESON BOUND STATE THROUGH SCALAR COUPLING. Chinese Physics C, 1977, 1(1): 7-18.

Access

Get Citation

BAI Zhi-Ming and JIANG Yuan-Fang. The One Loop Calculation of the Strong coupling β Function in the Toy Model[J]. Chinese Physics C, 1991, 15(3): 213-219.

BAI Zhi-Ming and JIANG Yuan-Fang. The One Loop Calculation of the Strong coupling β Function in the Toy Model[J]. Chinese Physics C, 1991, 15(3): 213-219. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1900-01-01
Revised: 1900-01-01

Article Metric

Article Views(2824)
PDF Downloads(476)
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, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

The One Loop Calculation of the Strong coupling β Function in the Toy Model

BAI Zhi-Ming ^,
JIANG Yuan-Fang

Corresponding author: BAI Zhi-Ming,

Department of Physics,East China Normal University,Shanghai 200062

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1991-03-05

Abstract: In this paper,the background field quantization is used to calculate the one-loop β function in the Toy Model which has the strong coupling and the SU(3) symmetry.the function obtained is consistent with the Appalquist-Carrazone theorem in the low energy condition.