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

  • 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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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
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.

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