Variational Analysis of the Gross-Neveu Model at Zero and Finite Temperatures

Lou Senyue; Ni Guangjiong

Chinese Physics C> 1990, Vol. 14> Issue(S2) : 145-153

Variational Analysis of the Gross-Neveu Model at Zero and Finite Temperatures

Department of Physics, Ningbo Normal College, Zhejiang;Department of Physics, Fudan University, Shanghai

Abstract
HTML
Reference
Related

PDF

Abstract：
By means of the coherent state effective potential method, we re-examine the Gross-Neveu (GN) model. A "nontrivial" "Autonomous" theory is obtained for any N (N is the number of the fermion fields). When N→∞, the theory is equivalent to that obtained by GN. The dynami symmetry breaking of the "Autonomous" theory will be restored at the critical temperature. The mass of the elementary excitation is temperature dependent, but independent of N.

[1]	Xin Wu , Qi Chen , Ye Xing , Zhi-Peng Xing , Ruilin Zhu . 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
[2]	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
[3]	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
[4]	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
[5]	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
[6]	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.
[7]	Guo Hua . In-medium QMC Model Parameters and Quark Condensation in Nuclear Matter. Chinese Physics C, 1999, 23(5): 459-468.
[8]	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.
[9]	WU Zhong-Li . ANALYSIS OF THE MOMENTUM DISTRIBUTION WIDTH OF THE PREOJECTILE-LIKE-FRAGMENT FROM HEAVY ION COLLISIONS. Chinese Physics C, 1989, 13(8): 752-754.

Access

Get Citation

Lou Senyue and Ni Guangjiong. Variational Analysis of the Gross-Neveu Model at Zero and Finite Temperatures[J]. Chinese Physics C, 1990, 14(S2): 145-153.

Lou Senyue and Ni Guangjiong. Variational Analysis of the Gross-Neveu Model at Zero and Finite Temperatures[J]. Chinese Physics C, 1990, 14(S2): 145-153. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1989-06-22

Fund

Supported by the Science Foundation of State Commission of Education in China.

Article Metric

Article Views(969)
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

Variational Analysis of the Gross-Neveu Model at Zero and Finite Temperatures

Lou Senyue
Ni Guangjiong

Department of Physics, Ningbo Normal College, Zhejiang;Department of Physics, Fudan University, Shanghai

Received Date: 1989-06-22

Fund Project: Supported by the Science Foundation of State Commission of Education in China.

Abstract: By means of the coherent state effective potential method, we re-examine the Gross-Neveu (GN) model. A "nontrivial" "Autonomous" theory is obtained for any N (N is the number of the fermion fields). When N→∞, the theory is equivalent to that obtained by GN. The dynami symmetry breaking of the "Autonomous" theory will be restored at the critical temperature. The mass of the elementary excitation is temperature dependent, but independent of N.