Finite volume effects and dynamical chiral symmetry breaking in QED3
Abstract
We investigate the impact of finite volume effects on the critical number of flavours, Nfc, 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 Nfc from values in the range of 3.61 Nfc 3.84 in the infinite volume/continuum limit down to values below Nf 1.5 at finite volumes in agreement with earlier results of Gusynin and Reenders in a simpler truncation scheme. These findings explain discrepancies in Nfc between continuum and lattice studies.
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