First-order phase transition for a field theory at finite chemical potential in a toroidal topology
Instituto de Física, Universidade do Estado do Rio de Janeiro - Rua São Francisco Xavier, 524, 20559-900 Rio de Janeiro, RJ, Brazil
2 Centro Brasileiro de Pesquisas Físicas, MCT - 22290-180, Rio de Janeiro, RJ, Brazil
Accepted: 17 April 2012
We study the critical behaviour of the − λϕ4+ηϕ6 theory at finite chemical potential defined in a toroidal topology, with compactification of imaginary time (finite temperature) and compactification of a spatial coordinate. This is performed as an application of recently published methods for dealing with field theories defined on toroidal spaces. We study finite-size (described by the spatial compactification length L) and finite-chemical-potential (μ) effects, by carrying out an investigation of the critical temperature as a function of both L and μ. We find that there is a minimal size for the system that sustains the transition, and that this size is the same for all values of the chemical potential.
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