| Critical Analyses of Order Parameter and Phase Transitions at High Density in Gross－Neveu Model |
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| 引用本文： | ZHOUBang-Rong. Critical Analyses of Order Parameter and Phase Transitions at High Density in Gross－Neveu Model[J]. 理论物理通讯, 2003, 40(1): 67-72 |
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| 作者姓名： | ZHOUBang-Rong |
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| 作者单位： | DepartmentofPhysics,GraduateSchooloftheChineseAcademyofSciences,Beijing100039,China |
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| 摘 要： | By critical analyses of the order parameter of symmetry breaking, we have researched the phase transitions at high density in D = 2 and D = 3 Gross-Neveu (GN) model and shown that the gap equation obeyed by the dynamical fermion mass has the same effectivenesss as the effective potentials for such analyses of all the second order and some specJal first order phase transitions. In the meantime we also further ironed out a theoretical divergence and proven that in D = 3 GN model a first order phase transition does occur in the case of zero temperature and finite chemical potential.
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| 关 键 词： | Gross－Neveu模型 有序参数分析 间隙方程 有效势 高密度 对称恢复 高压 相变 |
| 收稿时间： | 2002-12-19 |
Critical Analyses of Order Parameter and Phase Transitions at High Density in Gross-Neveu Model |
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| ZHOU Bang-Rong. Critical Analyses of Order Parameter and Phase Transitions at High Density in Gross-Neveu Model[J]. Communications in Theoretical Physics, 2003, 40(1): 67-72 |
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| Authors: | ZHOU Bang-Rong |
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| Affiliation: | Department of Physics, Graduate School of the Chinese Academy of Sciences, Beijing 100039, China;CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, China |
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| Abstract: | By critical analyses of the order parameter of symmetry breaking,we have researched the phase transitions at high density in D=2and D=3 Gross-Neveu (GN) model and shown that the gap equationobeyed by the dynamical fermion mass has the same effectivenesssas the effective potentials for such analyses of all the secondorder and some special first order phase transitions. In themeantime we also further ironed out a theoretical divergence andproven that in D=3 GN model a first order phase transition doesoccur in the case of zero temperature and finite chemical potential. |
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| Keywords: | Gross-Neveu model critical analyses of orderparameter gap equation effective potential symmetry restoration at high density first order and second order phase transition |
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