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arXiv · 1009.4459

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

F. C. Khanna·A. P. C. Malbouisson·J. M. C. Malbouisson·A. E. Santana
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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.

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F. C. Khanna, A. P. C. Malbouisson, J. M. C. Malbouisson, A. E. Santana. 2010-11-17. Phase transition in the 3-D massive Gross-Neveu model. https://doi.org/10.1209/0295-5075%2F92%2F11001

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