Phase transition in the 3-D massive Gross-Neveu model
High Energy Physics - Theory
2010-12-01 v2 Superconductivity
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
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 -dependent four-point function. This gives a singularity, suggesting a phase transition. Considering the free energy we obtain the -dependent mass, which goes to zero for some temperature. These results lead us to the conclusion that there is a second-order phase transition.
Cite
@article{arxiv.1009.4459,
title = {Phase transition in the 3-D massive Gross-Neveu model},
author = {F. C. Khanna and A. P. C. Malbouisson and J. M. C. Malbouisson and A. E. Santana},
journal= {arXiv preprint arXiv:1009.4459},
year = {2010}
}
Comments
06 pages, 02 figures, LATEX