A (l+l)-Dimensional Lattice U(l) Gauge Model and the Fermion Species Doubling

Zheng Bo

Chinese Physics C> 1990, Vol. 14> Issue(S3) : 249-254

A (l+l)-Dimensional Lattice U(l) Gauge Model and the Fermion Species Doubling

Zheng Bo

Department of Physics, Zhongshan University, Guangzhou

Abstract
HTML
Reference
Related

PDF

Abstract：
A (1 + 1)-dimensional lattice U(1) gauge model with fermion species doubling is solved exactly. The results show that doubling exists for meson states composed of fermions and antifermions. Furthermore we prove that Susskind fermion scheme can avoid the doubling of meson states.

[1]	Renli Xu , Chen Wu , Jian Liu , Bin Hong , Jie Peng , Xiong Li , Ruxian Zhu , Zhizhen Zhao , Zhongzhou Ren . Ground-state properties of finite nuclei in relativistic Hartree-Bogoliubov theory with an improved quark mass density-dependent model. Chinese Physics C, 2026, 50(2): 1-12.
[2]	Abdel Magied DIAB . Charmed Meson Structure across Crossover from SU(4) Polyakov Quark Meson Model with Isospin Asymmetry. Chinese Physics C, 2026, 50(1): 1-19.
[3]	Zhe Wang , Quan Liu , Jian-You Guo . Examination of proton radioactivity in exotic nuclei with a deformed Gamow-like model. Chinese Physics C, 2026, 50(2): 1-10. doi: 10.1088/1674-1137/ae042f
[4]	Wen-Chao Dai , Jie-Dong Jiang , Yin Fan , Xiao Liu , Peng-Cheng Chu , Xi-Jun Wu , Xiao-Hua Li . Systematic study of α decay half-life within cluster-formation model. Chinese Physics C, 2026, 50(1): 1-26.
[5]	Siyu Tang , Zuman Zhang , Chao Zhang , Liang Zheng , Renzhuo Wan . Investigating the transverse-momentum- and pseudorapidity-dependent flow vector decorrelation in p–Pb collisions with a multi-phase transport model. Chinese Physics C, 2025, 49(12): 124104. doi: 10.1088/1674-1137/adef1b
[6]	Fan Yang , Xiangyun Fu , Bing Xu , Kaituo Zhang , Yang Huang , Ying Yang . Testing the cosmic distance duality relation using Type Ia supernovae and radio quasars through model-independent methods. Chinese Physics C, 2025, 49(10): 105108. doi: 10.1088/1674-1137/ade4a3
[7]	Sen Guo , Pei Wang , Ke-Jian He , Guo-Ping Li , Xiao-Xiong Zeng , Wen-Hao Deng . A novel jet model for the Novikov-Thorne disk and its observable impact. Chinese Physics C, 2025, 49(8): 085104. doi: 10.1088/1674-1137/add10e
[8]	Xin-Xin Qi , Hao Sun . Copositive criteria for a two-component dark matter model. Chinese Physics C, 2025, 49(10): 103101. doi: 10.1088/1674-1137/ade4b7
[9]	Gao-Xiang Fang , Ye-Ling Zhou . Fermion masses and mixing in SO(10) GUT with a universal two-zero texture. Chinese Physics C, 2025, 49(10): 103107. doi: 10.1088/1674-1137/ade6d7
[10]	Mikael Chala , Luis Gil , Zhe Ren . Phase transitions in dimensional reduction up to three loops. Chinese Physics C, 2025, 49(12): 123105. doi: 10.1088/1674-1137/adf322
[11]	Zhuoyi Pang , Jian-Hui Zhang , Dian-Jun Zhao . Moments from momentum derivatives in lattice QCD. Chinese Physics C, 2025, 49(10): 101001. doi: 10.1088/1674-1137/aded04
[12]	Liuxin Zhao , Honglei Li , Zhi-Long Han , Fei Huang , Xinyi Yan . Extra charged gauge boson W′ in Alternative Left-Right Model at future muon collider. Chinese Physics C, 2025, 49(12): 123102. doi: 10.1088/1674-1137/adec51
[13]	Hong-Lei Li , Peng-Cheng Lu , Cong-Feng Qiao , Zong-Guo Si , Ying Wang . Study of the Standard Model and Majorana neutrino contributions to ${ B}^{{ +}} { \to} { K}^{{ (*){ \pm}}}{ \mu}^{ +}{ \mu}^{{ \mp}}$. Chinese Physics C, 2019, 43(2): 023101. doi: 10.1088/1674-1137/43/2/023101
[14]	D. Banerjee , S. Sahoo . Analysis of λ_b→λ l⁺l^- rare decays in a non-universal Z' model. Chinese Physics C, 2017, 41(8): 083101. doi: 10.1088/1674-1137/41/8/083101
[15]	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
[16]	HU Xi-Duo , SHAO Ming-Zhu , LUO Shi-Yu , LIU Yong-Sheng , ZHU De-Hai . Average Field Idea and Single Particle Model for 2 Dimension Crystallization Beams(Ⅱ). Chinese Physics C, 2004, 28(2): 196-199.
[17]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[18]	Xu Jianming . Matching Problem of Lattice with Transverse Coupling. Chinese Physics C, 1995, 19(1): 73-81.
[19]	ZHU Xiang , SHEN Wen-Qing , HU Xiao-Qing , ZHU Yong-Tai , WANG Bing . A SIMPLE MODEL ANALYSIS OF THE INCOMPLETE DIC REACTION. Chinese Physics C, 1990, 14(9): 835-841.
[20]	CHANG KONG-LIANG . DIMENSIONAL METHOD TO SOLVE THE DIFFUSION CONVECTION EQUATION OF SOLAR COSMIC RAYS. Chinese Physics C, 1978, 2(3): 200-210.

Access

Get Citation

Zheng Bo. A (l+l)-Dimensional Lattice U(l) Gauge Model and the Fermion Species Doubling[J]. Chinese Physics C, 1990, 14(S3): 249-254.

Zheng Bo. A (l+l)-Dimensional Lattice U(l) Gauge Model and the Fermion Species Doubling[J]. Chinese Physics C, 1990, 14(S3): 249-254. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1990-10-16

Article Metric

Article Views(1164)
PDF Downloads(2)
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 (l+l)-Dimensional Lattice U(l) Gauge Model and the Fermion Species Doubling

Zheng Bo

Department of Physics, Zhongshan University, Guangzhou

Received Date: 1990-10-16

Abstract: A (1 + 1)-dimensional lattice U(1) gauge model with fermion species doubling is solved exactly. The results show that doubling exists for meson states composed of fermions and antifermions. Furthermore we prove that Susskind fermion scheme can avoid the doubling of meson states.