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, 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.

11 pages, 8 figures

References in corpus (4)

• Uniqueness of infrared asymptotics in Landau gauge Yang-Mills theory
• Regarding confinement and dynamical chiral symmetry breaking in QED3
• Large volume behaviour of Yang-Mills propagators
• Aspects of quark mass generation on a torus

Cited by in corpus (9)

• On the Phase Structure of Many-Flavor QED${}_3$
• Gauge invariance of a critical number of flavours in QED3
• Non-perturbative beta function in three-dimensional electrodynamics
• Sensitivity of finite size effects to the boundary conditions and the vacuum term
• Parity Symmetry in QED3
• Chiral symmetry breaking and monopole dynamics in non-compact QED3 coupled to a four-fermi interaction
• Effects of Anisotropy in QED3 from Dyson-Schwinger equations in a box
• Off-shell Green functions at one-loop level in Maxwell-Chern-Simons quantum electrodynamics
• Renormalization of fermion velocity in finite temperature QED_{3}