<i>β</i> Function for the <i>0</i>(3) Sigma Model on 2-Dimensional Random Triangle Lattice

Chen Tianlun

Chinese Physics C> 1989, Vol. 13> Issue(S4) : 393-398

β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice

Chen Tianlun

Nankai University, Tianjing

Abstract
HTML
Reference
Related

PDF

Abstract：
The β function behavior for the O(3)σ amodel on the 2-dimensional random triangle lattice has been studied with the improved Monte Carlo renormalization group method. It agrees with the one calculated in the weak coupling region under two-loop approximation. However, when g ≥ 0.8, it drops down faster due to the higher-order perturbative and nonperturbative contributions.

[1]	Wentao Zeng , Zehao Lin , Yiran Wang , Shuangquan Zhang , Jinniu Hu , Ying Zhang . Resonant states in the Schrödinger equation solved by the Green's function method. Chinese Physics C, 2026, 50(2): 1-10.
[2]	Jin-Yu Huo , Rui Chen . Exploring the two-body strong decay properties of the possible ${\boldsymbol\Lambda_{\boldsymbol c}\boldsymbol K^{}}$ and ${\boldsymbol\Sigma_{\boldsymbol c}\boldsymbol K^{()}}$ molecules. Chinese Physics C, 2025, 49(10): 103108. doi: 10.1088/1674-1137/adec4e
[3]	Xiaoxuan Lin , Wei Kou , Shixin Fu , Rong Wang , Chengdong Han , Xurong Chen . Revisiting the deuteron mass radius via near-threshold ρ⁰, ω, and ϕ meson photoproduction. Chinese Physics C, 2025, 49(10): 103105. doi: 10.1088/1674-1137/ade1c9
[4]	. Squeezing effect on three-dimensional Hanbury Brown-Twiss radii. Chinese Physics C, 2025, 49(11): 114102. doi: 10.1088/1674-1137/ade4a8
[5]	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
[6]	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
[7]	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
[8]	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
[9]	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
[10]	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
[11]	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
[12]	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
[13]	ZHANG Cong , HE Yuan , ZHAO Hong-Wei , ZHANG Sheng-Hu . Multipacting simulation and analysis of a taper quarter wave cavity by using Analyst-PT3P. Chinese Physics C, 2012, 36(4): 362-366. doi: 10.1088/1674-1137/36/4/012
[14]	YANG Hong-Xun (for the BESⅡ collaboration) . Partial wave analysis of J/ψ→ppπ⁰ and measurement of J/ψ→ppη, ppη´. Chinese Physics C, 2009, 33(12): 1331-1335. doi: 10.1088/1674-1137/33/12/048
[15]	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.
[16]	Medina Ablikim , HUANG Wei-Cheng , . New Realization of N=2 Supersymmetric QuantumMechanics and Shape Invariance. Chinese Physics C, 2002, 26(4): 338-345.
[17]	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.
[18]	Xu Jianming . Matching Problem of Lattice with Transverse Coupling. Chinese Physics C, 1995, 19(1): 73-81.
[19]	BES Collaboration . Experimental Study of Resonance f₂(1270) in the J/ψ Hadronic Decay. Chinese Physics C, 1993, 17(2): 97-106.
[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

Chen Tianlun. β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice[J]. Chinese Physics C, 1989, 13(S4): 393-398.

Chen Tianlun. β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice[J]. Chinese Physics C, 1989, 13(S4): 393-398. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1989-04-01

Fund

Supported by the National Natural Science Foundation of China.

Article Metric

Article Views(1378)
PDF Downloads(4)
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

β Function for the 0(3) Sigma Model on 2-Dimensional Random Triangle Lattice

Chen Tianlun

Nankai University, Tianjing

Received Date: 1989-04-01

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

Abstract: The β function behavior for the O(3)σ amodel on the 2-dimensional random triangle lattice has been studied with the improved Monte Carlo renormalization group method. It agrees with the one calculated in the weak coupling region under two-loop approximation. However, when g ≥ 0.8, it drops down faster due to the higher-order perturbative and nonperturbative contributions.