Finite volume effects and dynamical chiral symmetry breaking in QED3
High Energy Physics - Phenomenology
2009-04-08 v1 Superconductivity
High Energy Physics - Lattice
Abstract
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.
Cite
@article{arxiv.0811.1887,
title = {Finite volume effects and dynamical chiral symmetry breaking in QED3},
author = {Tobias Goecke and Christian S. Fischer and Richard Williams},
journal= {arXiv preprint arXiv:0811.1887},
year = {2009}
}
Comments
11 pages, 8 figures