Phase transition in the 3D massive Gross-Neveu model

2010/09/30 by F. C. Khanna, A. P. C. Malbouisson, J. M. C. Malbouisson +1
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #High-Energy Particle Collisions Research #Theoretical and Computational Physics #cond-mat.supr-con #hep-ph #hep-th #math-ph #math.MP

paper · pdf · doi:10.1209/0295-5075/92/11001

published as Europhys.Lett.92:11001,2010 · 06 pages, 02 figures, LATEX

openalex publication_date 2010/10/01 · arxiv created 2010/11/17 · arxiv updated 2010/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

Citations

• Phase structure of the massive chiral Gross-Neveu model from the Hartree-Fock approach
• Full phase diagram of the massive Gross–Neveu model
• Emergence of tricritical point and liquid-gas phase in the massless2+1dimensional Gross-Neveu model
• Phase transition and critical behavior of thed=3 Gross-Neveu model
• The (2+1)-dimensional Gross–Neveu model with a U(1) chiral symmetry at nonzero temperature