Analytical Approach to the Two-dimensional <i>0</i>(3) Non-linear <i>σ</i> Model

Zhao Peiying

Chinese Physics C> 1995, Vol. 19> Issue(S2) : 151-155

Analytical Approach to the Two-dimensional 0(3) Non-linear σ Model

Zhao Peiying

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing, China

Abstract
HTML
Reference
Related

PDF

Abstract：
In the Lattice gauge theory, by using the variational cumulant expansion, we calculate the internal energy and specific heat for the two-dimensional 0(3) nonlinear σ model. A comparison with the Monte Carlo (MC) result is also presented.
- lattice gauge theory ,
- 0(3) nonlinear σ model ,
- variational cumulant expansion ,
- internal energy ,
- specific heat

[1]	Jialin He , Xinye Peng , Zhongbao Yin , Liang Zheng . Extracting the kinetic freeze-out properties of high energy pp collisions at the LHC with event shape classifiers. Chinese Physics C, 2026, 50(2): 1-16.
[2]	. Soft pattern of gravitational Rutherford scattering from heavy target mass expansion. Chinese Physics C, 2026, 50(1): 013102. doi: 10.1088/1674-1137/ad62d6
[3]	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.
[4]	Hua Chen . Globally Stable Dark Energy in F(R) Gravity. Chinese Physics C, 2026, 50(2): 1-15.
[5]	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.
[6]	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.
[7]	. ³H and ³He nuclei production in a combined thermal and coalescence framework for heavy-ion collisions in the few-GeV energy regime. Chinese Physics C, 2026, 50(1): 014104. doi: 10.1088/1674-1137/ae099a
[8]	Ali Çiçi , Hüseyin Dağ . Resolving the W boson Mass in the Lepton Specific Two Higgs Doublet Model. Chinese Physics C, 2026, 50(3): 1-19.
[9]	Hao-Qiao Li , Hai-Ning Yan , Jiayin Gu , Xiao-Ze Tan . Probing Z/W pole physics at high-energy muon colliders via vector-boson-fusion processes. Chinese Physics C, 2025, 49(10): 103102. doi: 10.1088/1674-1137/addfcd
[10]	Yingjie Fan , Xuewen Liu , Ning Zhou . Characterizing the CJPL’s site-specific neutrino floor as the neutrino fog boundary. Chinese Physics C, 2025, 49(10): 103001. doi: 10.1088/1674-1137/ade65e
[11]	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
[12]	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
[13]	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
[14]	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
[15]	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
[16]	HUANG Jiang , XIONG Yong-Qian , CHEN De-Zhi , LIU Kai-Feng , YANG Jun , LI Dong , YU Tiao-Qin , FAN Ming-Wu , YANG Bo . A permanent magnet electron beam spread system used fora low energy electron irradiation accelerator. Chinese Physics C, 2014, 38(10): 107008. doi: 10.1088/1674-1137/38/10/107008
[17]	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
[18]	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
[19]	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
[20]	Xu Jianming . Matching Problem of Lattice with Transverse Coupling. Chinese Physics C, 1995, 19(1): 73-81.

Access

Get Citation

Zhao Peiying. Analytical Approach to the Two-dimensional 0(3) Non-linear σ Model[J]. Chinese Physics C, 1995, 19(S2): 151-155.

Zhao Peiying. Analytical Approach to the Two-dimensional 0(3) Non-linear σ Model[J]. Chinese Physics C, 1995, 19(S2): 151-155. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1993-12-16

Fund

Supported by the National Natural Science Foundation of China.

Article Metric

Article Views(1522)
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

Analytical Approach to the Two-dimensional 0(3) Non-linear σ Model

Zhao Peiying

Institute of High Energy Physics, The Chinese Academy of Sciences, Beijing, China

Received Date: 1993-12-16

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

Abstract: In the Lattice gauge theory, by using the variational cumulant expansion, we calculate the internal energy and specific heat for the two-dimensional 0(3) nonlinear σ model. A comparison with the Monte Carlo (MC) result is also presented.