VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE

  • 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 dynamical symmetry of the autonomous phase will be restored at the critical temperature.The mass of the elementary excitation is N independent but temperature dependent.
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LOU Sen-Yue and NI Guang-Jiong. VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE[J]. Chinese Physics C, 1990, 14(3): 228-235.
LOU Sen-Yue and NI Guang-Jiong. VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE[J]. Chinese Physics C, 1990, 14(3): 228-235. shu
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Received: 1900-01-01
Revised: 1900-01-01
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VARIATIONAL ANALYSIS OF THE GROSS-NEVEU MODEL AT ZERO AND FINITE TEMPERATURE

    Corresponding author: LOU Sen-Yue,
  • Physics Department,Ningbo Normal College1 Physics Department,Fudan University,Shanghai

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 dynamical symmetry of the autonomous phase will be restored at the critical temperature.The mass of the elementary excitation is N independent but temperature dependent.

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