The Feynman Rules and Axial Vector Current Anomaly on the Normal Fuzzy Lattice

Dong Shaojing

Chinese Physics C> 1989, Vol. 13> Issue(S1) : 23-32

The Feynman Rules and Axial Vector Current Anomaly on the Normal Fuzzy Lattice

Dong Shaojing

Department of Physics, Zhejiang University, Hangzhou

Abstract
HTML
Reference
Related

PDF

Abstract：
In the normal fuzzy lattice scheme, the periodicity breaking in the momentum space, thus the avoidance of the unnecessary fermion modes are shown via a self-consistent Fourier transformation. Moreover, the Feynman rule in the weak coupling limit is discussed, the axial vector current anomaly in one-loop perturbation is calculated, and a regular Adler-Bell-Jackiw chiral anomaly is obtained.

[1]	Yi Liang , Long-Bin Chen , Cong-Feng Qiao . X(16.7) as the solution of the NuTeV anomaly. Chinese Physics C, 2017, 41(6): 063105. doi: 10.1088/1674-1137/41/6/063105
[2]	Zhao Li , Jian Wang , Qi-Shu Yan , Xiaoran Zhao . Efficient numerical evaluation of Feynman integrals. Chinese Physics C, 2016, 40(3): 033103. doi: 10.1088/1674-1137/40/3/033103
[3]	Xing-Xing Dong , Shu-Min Zhao , Hai-Bin Zhang , Fang Wang , Tai-Fu Feng . Feynman rules for neutrinos and new neutralinos in the BLMSSM. Chinese Physics C, 2016, 40(9): 093103. doi: 10.1088/1674-1137/40/9/093103
[4]	NIU Li-Bo , LI Yu-Lan , HUANG Meng , FU Jian-Qiang , HE Bin , LI Yuan-Jing . Adaptive multitrack reconstruction for particle trajectories based on fuzzy c-regression models. Chinese Physics C, 2015, 39(3): 036201. doi: 10.1088/1674-1137/39/3/036201
[5]	SUN Yi-Qian , LÜ Pin , BAO Ai-Dong . Topological index associated with transverse axial vector and vector anomalies in QED. Chinese Physics C, 2015, 39(4): 043101. doi: 10.1088/1674-1137/39/4/043101
[6]	SUN Yan-Jun , WANG Zhi-Gang , HUANG Tao . B → A transitions in the light-cone QCD sum rules with the chiral current. Chinese Physics C, 2012, 36(11): 1046-1054. doi: 10.1088/1674-1137/36/11/003
[7]	Eef van , George Rupp . Evidence for further charmonium vector resonances. Chinese Physics C, 2011, 35(4): 319-324. doi: 10.1088/1674-1137/35/4/001
[8]	ZHANG Hong-Hao , FENG Kai-Xi , QIU Si-Wei , ZHAO An , LI Xue-Song . On analytic formulas of Feynman propagators in position space. Chinese Physics C, 2010, 34(10): 1576-1582. doi: 10.1088/1674-1137/34/10/005
[9]	D. Werthmüller (for the Crystal Ball/TAPS collaborations) . Investigation of the anomaly in η-photoproduction off the neutron. Chinese Physics C, 2009, 33(12): 1345-1348. doi: 10.1088/1674-1137/33/12/051
[10]	Toru T. Takahashi , Teiji Kunihiro . Axial charges of N(1535) and N(1650) in two-flavor lattice QCD. Chinese Physics C, 2009, 33(12): 1233-1237. doi: 10.1088/1674-1137/33/12/029
[11]	K. Goeke , T. Ledwig , S.i. Nam . Photoproduction of the Θ⁺ and its vector and axial-vector structure. Chinese Physics C, 2009, 33(12): 1279-1284. doi: 10.1088/1674-1137/33/12/038
[12]	BAO Ai-Dong , YAO Hai-Bo , WU Shi-Shu . Topological approach to examine the singularity of the axial-vector current in an Abelian gauge field theory (QED). Chinese Physics C, 2009, 33(3): 177-180. doi: 10.1088/1674-1137/33/3/003
[13]	LIU Jing-Jing . Plasma neutrino energy loss due to the axial-vector current at the late stages of stellar evolution. Chinese Physics C, 2009, 33(10): 834-837. doi: 10.1088/1674-1137/33/10/003
[14]	Li Ziping . Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral. Chinese Physics C, 1996, 20(8): 698-702.
[15]	Wang Jiajun , Sun Hongzhou . Branching Rules for U(N)⊃SP(N)⊃O(3). Chinese Physics C, 1993, 17(S4): 395-402.
[16]	CHEN Kun , YAN Mu-Lin . Flavor-Singlet Axial-Vector Current in Quark Model Within Background Field. Chinese Physics C, 1993, 17(2): 114-118.
[17]	Shen Qixin , Yu Hong . A Possible Explanation for the Axial-Vector Meson E/f₁(1420). Chinese Physics C, 1990, 14(S3): 275-280.
[18]	DONG Shao-Jing . ON THE FEYNMAN RULES AND AXIAL VECTOR ANOMALY OF NORMAL FUZZY LATTICE FERMION. Chinese Physics C, 1989, 13(3): 226-233.
[19]	DONG Shao-Jing . NORMAL FUZZY LATTICE ——A PROBABLE FERMIONIC ACTION WITHOUT MULTIPLICITY BUT REMAINS CONVARIANT AND CHIRAL LIMIT. Chinese Physics C, 1987, 11(4): 543-548.
[20]	WANG Xing-Min . THE FEYNMAN RULES OF COLLECTIVE BAG-QUARK CURRENT AND HADRON TIME-LIKE STRUCTURE FUNCTIONS. Chinese Physics C, 1984, 8(2): 148-157.

Access

Get Citation

Dong Shaojing. The Feynman Rules and Axial Vector Current Anomaly on the Normal Fuzzy Lattice[J]. Chinese Physics C, 1989, 13(S1): 23-32.

Dong Shaojing. The Feynman Rules and Axial Vector Current Anomaly on the Normal Fuzzy Lattice[J]. Chinese Physics C, 1989, 13(S1): 23-32. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1988-05-04

Fund

Supported by the National natural Science Foundation of China.

Article Metric

Article Views(563)
PDF Downloads(7)
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 Feynman Rules and Axial Vector Current Anomaly on the Normal Fuzzy Lattice

Dong Shaojing

Department of Physics, Zhejiang University, Hangzhou

Received Date: 1988-05-04

Fund Project: Supported by the National natural Science Foundation of China.

Abstract: In the normal fuzzy lattice scheme, the periodicity breaking in the momentum space, thus the avoidance of the unnecessary fermion modes are shown via a self-consistent Fourier transformation. Moreover, the Feynman rule in the weak coupling limit is discussed, the axial vector current anomaly in one-loop perturbation is calculated, and a regular Adler-Bell-Jackiw chiral anomaly is obtained.