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( Nis 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]	Xue Pan,Yanhua Zhang,Lizhu Chen,Mingmei Xu,Yuanfang Wu. Finite-size behaviour of generalized susceptibilities in the whole phase plane of the Potts model. Chinese Physics C, 2018, 42(2): 023110.doi:10.1088/1674-1137/42/2/023110
[2]	El Hanafy,G. G. L. Nashed. Generic phase portrait analysis of finite-time singularities and generalized teleparallel gravity. Chinese Physics C, 2017, 41(12): 125103.doi:10.1088/1674-1137/41/12/125103
[3]	Ling-Xiao Cui,Zhen Fang,Yue-Liang Wu. Finite temperature effect in infrared-improved AdS/QCD model with back reaction of bulk vacuum. Chinese Physics C, 2016, 40(6): 063101.doi:10.1088/1674-1137/40/6/063101
[4]	Muhammad Ikram,Zafar Yasin,Warda Iram,Shahida Jabeen. Cascade-exciton model analysis of mass dependence of pion-induced fission. Chinese Physics C, 2014, 38(7): 076101.doi:10.1088/1674-1137/38/7/076101
[5]	SHU Song,LI Jia-Rong. Expanding the thermodynamical potential and analysis of the possible phase diagram of decon nement in the FL model. Chinese Physics C, 2012, 36(4): 316-321.doi:10.1088/1674-1137/36/4/004
[6]	ZENG Zhuo-Quan,SHEN Peng-Nian,DING Yi-Bing. An improved variational method. Chinese Physics C, 2009, 33(3): 191-196.doi:10.1088/1674-1137/33/3/006
[7]	Deng Shenghua,Wang Enke,Li Jiarong. Two-Loop Effective Potential of the Non-topological Soliton Model at Finite Temperature. Chinese Physics C, 1995, 19(S3): 289-304.
[8]	Liu Bo,Zhao Weiqin. Analysis of the New Data of Transverse Energy Distributions in High Energy p-A Collisions Based on Geometrical Model. Chinese Physics C, 1994, 18(S4): 385-390.
[9]	Chen Xingqu,Xing Zheng. Analysis of Superdeformed Bands in the Particle-Rotor Model. Chinese Physics C, 1994, 18(Z1): 95-102.
[10]	Zheng Xite,Lei Chunhong,Li Yuliang,Chen Hong. Study of Higher Order Cumulant Expansion ofU(l) Lattice Gauge Model at Finite Temperature. Chinese Physics C, 1993, 17(S3): 271-276.
[11]	SHEN Kun,QIU Zhong-Ping. Vertex Correction and Phase Structure in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(9): 811-815.
[12]	SHEN Kun,QIU Zhong-Ping. Chiral Ward-Takahashi Identities at Finite Temperature and Chiral Phase Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(3): 208-214.
[13]	SHEN Kun,QIU Zhongping. Vertex Correction at Finite Temperature and Decoupling Transition in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(11): 993-1001.
[14]	Shen Kun,Qiu Zhongping. Vertex Correction at Finite Temperature and Decoupling Phase Transition in 2+1-Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1993, 17(S3): 261-270.
[15]	Wang Enke,Li Jiarong. The Equation of State and Phase Structure in A Model with Dynamical Spontaneous Symmetry Breaking at Finite Temperature and Density. Chinese Physics C, 1992, 16(S2): 193-200.
[16]	SHEN Kun,QIU Zhong-Ping. Chiral Symmetry,Ward-Takahashi Identities and Mass Spectra in (2+1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1992, 16(1): 29-37.
[17]	Shen Kun,Qiu Zhongping. Chiral Symmetry, Ward-Takahashi Identities and Mass spectra in (2 + 1) Dimensional Chiral Gross-Neveu Model. Chinese Physics C, 1991, 15(S4): 401-410.
[18]	Zheng Guotong,Su Rukeng. One π-meson and One σ-meson Exchange Potentials at Finite Temperatures. Chinese Physics C, 1990, 14(S2): 135-144.
[19]	LOU Sen-Yue,NI Guang-Jiong. VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE. Chinese Physics C, 1990, 14(3): 228-235.
[20]	Wang Enke,Li Jiarong. Deconfinement Transition of the Nontopological Soliton Model at Finite Temperature. Chinese Physics C, 1989, 13(S4): 399-404.

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(1693)
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 anyN(Nis 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 ofN.