Phase transition in the 3-D massive Gross-Neveu model

Abstract

We consider the 3-dimensional massive Gross-Neveu model at finite temperature as an effective theory for strong interactions. Using the Matsubara imaginary time formalism, we derive a closed form for the renormalized $T$-dependent four-point function. This gives a singularity, suggesting a phase transition. Considering the free energy we obtain the $T$-dependent mass, which goes to zero for some temperature. These results lead us to the conclusion that there is a second-order phase transition.

06 pages, 02 figures, LATEX

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• Magnetic catalysis effect in (2+1)-dimensional Gross--Neveu model with Zeeman interaction
• Superconductivity phenomenon induced by external in-plane magnetic field in (2+1)-dimensional Gross--Neveu type model
• A note on the infrared behavior of the compactified Ginzburg--Landau model in a magnetic field
• Quark deconfinement phase transition in nuclear matter for improved quark mass density-dependent model