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

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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.

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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

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Received: 1989-06-22

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

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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.