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Second and first order phase transition in three dimension Gross-Neveu model

2003/08/02 by Zhou Bang-Rong, Bang-Rong, Zhou
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum, superfluid, helium dynamics #Theoretical and Computational Physics #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0308016

4 pages, no figure, A report at Academic Annual Meeting of Chinese Association of High Energy Physics, Oct. 30-Nov.3, 2002, Xinxiang, Henan, China

arxiv created 2003/08/02 · openalex publication_date 2003/08/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Symmetry restoring phase transitions in three dimension Gross-Neveu model are shown to be second order at finite temperature T and first order at T=0 and finite chemical potential μ by critical analysis of the dynamical fermion mass based on the gap equation. The latter is further verified by effective potential analysis. The resulting tricritical point is (T,μ)=(0,m(0)), where m(0) is the dynamical fermion mass at T=μ=0. Physical difference between the above second and first order phase transition is illustrated by means of variations of thermodynamical particle density.

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