Volume 97, Number 1, February 2012
|Number of page(s)||6|
|Section||The Physics of Elementary Particles and Fields|
|Published online||03 January 2012|
Finite-size effects on the phase transition in the three-dimensional Gross-Neveu model
Department of Physics, Theoretical Physics Institute, University of Alberta - Edmonton, Alberta, T6G 2J1, Canada
2 TRIUMF - 4004, Wesbrook 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 Departamento de Física, Faculdade de Ciências, Universidade do Porto - 4169-007, Porto, Portugal
6 Instituto de Física, International Centre for Condensed Matter Physics, Universidade de Brasília 70.910-900, Brasília, DF, Brazil
Accepted: 28 November 2011
We discuss finite-size effects on the phase transition in the two-component, massive, three-dimensional Gross-Neveu model. From an analysis of four-point function and from the existence of a stable infrared fixed point of the beta-function, we get indications of the existence of a second-order phase transition. Using a generalized Matsubara prescription and zeta-function regularization techniques, we determine the dependence of the critical temperature on the size of the system.
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, 2012
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