Volume 92, Number 1, October 2010
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||29 October 2010|
Phase transition in the 3D massive Gross-Neveu model
Department of Physics, Theoretical Physics Institute, University of Alberta - Edmonton, Alberta, T6G 2J1, Canada
2 TRIUMF - 4004, Westbrook mall, Vancouver, British Columbia V6T 2A3, Canada
3 Centro Brasileiro de Pesquisas Físicas, MCT - 22290-180, Rio de Janeiro, RJ, Brazil
4 Instituto de Física, Universidade Federal da Bahia - 40210-340, Salvador, BA, Brazil
5 Instituto de Física, International Center for Condensed Matter Physics, Universidade de Brasília 70910-900, Brasilia, DF, Brazil
Accepted: 22 September 2010
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.
PACS: 11.10.Kk – Field theories in dimensions other than four / 11.30.Qc – Spontaneous and radiative symmetry breaking / 11.10.Wx – Finite-temperature field theory
© EPLA, 2010
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