Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking

Luo Xiangqian; Chen Qizhou; Guo Shuohong

Chinese Physics C> 1989, Vol. 13> Issue(S2) : 157-164

Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking

Department of Physics, Zhongshan University, Guangzhou

Abstract
HTML
Reference
Related

PDF

Abstract：
The vacuum structure of 2 + 1 dimensional SU(2) LGT with fermions is studied by incorporating the exact ground state of pure gauge theory and the variational fermion vacuum state. We have calculated the fermion condensation <ψψ>, and obtained an improved scaling behavior.

[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]	Víctor Miguel Banda Guzmán , Rubén Flores-Mendieta , Johann Hernández . Use of SU(3) flavor projection operators to construct baryon-meson scattering amplitudes in the 1/N_c expansion. Chinese Physics C, 2026, 50(2): 1-25.
[3]	Shaowei Lan , Qiuhua Liu , Yong Li , Shusu Shi . Energy Dependence of Elliptic Flow Ratio v₂^PP/v₂^RP in Heavy-ion Collisions Using the AMPT Model. Chinese Physics C, 2026, 50(3): 1-6.
[4]	Wang-Fa Li , Junmou Chen , Qian-Jiu Wang , Zhao-Huan Yu . A Numerical Study on Gauge Symmetry of Electroweak Amplitudes. Chinese Physics C, 2026, 50(2): 1-16.
[5]	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
[6]	Ulaş Özdem . Unveiling the electromagnetic structure and intrinsic dynamics of spin-3/2 hidden-charm pentaquarks: A comprehensive QCD analysis. Chinese Physics C, 2025, 49(10): 103106. doi: 10.1088/1674-1137/ade95a
[7]	. SU(3) flavor symmetry analysis of hyperon non-leptonic two body decays. Chinese Physics C, 2025, 49(12): 123101. doi: 10.1088/1674-1137/adf1f1
[8]	Che-Hao Liu , Van Que Tran , Qiaoyi Wen , Fanrong Xu , Tzu-Chiang Yuan . New contributions to b → sγ in the minimal G2HDM. Chinese Physics C, 2025, 49(8): 083107. doi: 10.1088/1674-1137/add873
[9]	Ze-Fang Jiang , Shuo-Yan Liu , Tian-Yu Hu , Huang-Jing Zheng , Duan She . 1+1 dimensional relativistic viscous non-resistive magnetohydrodynamics with longitudinal boost invariance. Chinese Physics C, 2025, 49(11): 114104. doi: 10.1088/1674-1137/ade6d4
[10]	Manpreet Kaur , Sushil Kumar , Sukhjeet Singh , A. K. Jain . Signature splitting in three-quasineutron rotational band 3/2[521]_ν$\otimes $1/2[660]_ν$\otimes $1/2[660]_νof ¹⁵⁵Dy. Chinese Physics C, 2025, 49(10): 104103. doi: 10.1088/1674-1137/ade95e
[11]	Yu-xin Cheng , De-hao Zhao , Yue-yang Shao , Li Gong , Tao Wang , Xiao-shen Kang . SU(3) analysis for B(E2) anomaly. Chinese Physics C, 2025, 49(10): 104105. doi: 10.1088/1674-1137/aded05
[12]	Bo Lan , Qin-Ze Song , Jin-Huan Sheng , Yi Qiao , Ru-Min Wang . Study of χ_cJ (J = 0,1,2) decays to light meson pairs based on SU(3) flavor symmetry/breaking analysis. Chinese Physics C, 2025, 49(12): 123106. doi: 10.1088/1674-1137/adff00
[13]	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
[14]	ZHANG Da-Lin , QIU Sui-Zheng , LIU Chang-Liang , SU Guang-Hui . Steady state investigation on neutronics of a molten salt reactor considering the flow effect of fuel salt. Chinese Physics C, 2008, 32(8): 624-628. doi: 10.1088/1674-1137/32/8/007
[15]	HUANG Wen-Xue , WANG Yue , ZHU Zhi-Chao , TIAN Yu-Lin , XU Hu-Shan , SUN Zhi-Yu , XIAO Guo-Qing , ZHAN Wen-Long . Experimental Study of the High-Voltage Breakdown and Simulations for the RFQ Cooler and Buncher RFQ1L. Chinese Physics C, 2006, 30(S2): 261-264.
[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]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[18]	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.
[19]	Yu Hong , Shen Qixing , Zhang Lin . Angular Distribution of Process e⁺e^－→τ⁺τ^－,τ^－→a₁υτ,a₁→ρπ and Characteristics of a₁ Meson. Chinese Physics C, 1994, 18(7): 583-590.
[20]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.

Access

Get Citation

Luo Xiangqian, Chen Qizhou and Guo Shuohong. Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking[J]. Chinese Physics C, 1989, 13(S2): 157-164.

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1987-12-29

Fund

Supported in part by the Foundation of Zhongshan University Advanced Center and by the Science Fund of the Chinese Education Committee

Article Metric

Article Views(1403)
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

Vacuum State of 2+1 Dimensional SU(2) Lattice Gauge Theory With Fermions and Spontaneous Chiral Symmetry Breaking

Department of Physics, Zhongshan University, Guangzhou

Received Date: 1987-12-29

Fund Project: Supported in part by the Foundation of Zhongshan University Advanced Center and by the Science Fund of the Chinese Education Committee

Abstract: The vacuum structure of 2 + 1 dimensional SU(2) LGT with fermions is studied by incorporating the exact ground state of pure gauge theory and the variational fermion vacuum state. We have calculated the fermion condensation <ψψ>, and obtained an improved scaling behavior.