Real-time thermal field theory analyses of 2D Gross-Neveu model

dc.creatorBang-Rong, Zhou
dc.date2002-04-22
dc.date.accessioned2026-07-07T10:49:22Z
dc.date.available2026-07-07T10:49:22Z
dc.descriptionDiscrete symmetry breaking and possible restoration at finite temperature $T$ are analysed in 2D Gross-Neveu model by the real-time thermal field theory in the fermion bubble approximation. The dynamical fermion mass $m$ is proven to be scale-independent and this fact indicates the equivalence between the fermion bubble diagram approximation and the mean field approximation used in the auxialiary scalar field approach. Reproducing of the non-zero critical temperature $T_c=0.567 m(0)$, ($m(0)$ is the dynamical fermion mass at T=0), shows the equivalence between the real-time and the imaginary-time thermal field theory in this problem. However, in the real-time formalism, more results including absence of scalar bound state, the equation of criticality curve of chemical potential-temperature and the $\ln(T_c/T)$ behavior of $m^2$ at $T\stackrel{<}{\sim} T_c$ can be easily obtained. The last one indicates the second-order phase transition feature of the symmetry restoration.
dc.description8 pages, Latex, no figures
dc.identifierhttps://arxiv.org/abs/hep-th/0204176
dc.identifierhttp://arxiv.org/abs/hep-th/0204176
dc.identifierCommun.Theor.Phys.33:451-456,2000
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184194
dc.subjectHigh Energy Physics - Theory
dc.titleReal-time thermal field theory analyses of 2D Gross-Neveu model
dc.typetext

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