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

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

2010-09-22

arxiv.org/abs/1009.4459v2

Europhys.Lett.92:11001,2010

Physics

High Energy Physics

High Energy Physics - Theory

06 pages, 02 figures, LATEX

Scientific paper

10.1209/0295-5075/92/11001

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.

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