%0 Journal Article
%T Finite volume effects and dynamical chiral symmetry breaking in QED3
%A Tobias Goecke
%A Christian S. Fischer
%A Richard Williams
%J Physics
%D 2008
%I arXiv
%R 10.1103/PhysRevB.79.064513
%X We investigate the impact of finite volume effects on the critical number of flavours, N_f^c, for chiral symmetry restoration in QED3. To this end we solve a set of coupled Dyson-Schwinger equations on a torus. For order parameters such as the anomalous dimension of the fermion wave function or the chiral condensate we find substantial evidence for a large dependence on the volume. We observe a shift in N_f^c from values in the range of 3.61 \le N_f^c \le 3.84 in the infinite volume/continuum limit down to values below N_f \le 1.5 at finite volumes in agreement with earlier results of Gusynin and Reenders in a simpler truncation scheme. These findings explain discrepancies in N_f^c between continuum and lattice studies.
%U http://arxiv.org/abs/0811.1887v1