Finite volume effects and dynamical chiral symmetry breaking in QED3

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dc.creatorGoecke, Tobias
dc.creatorFischer, Christian S.
dc.creatorWilliams, Richard
dc.date2008-11-12
dc.date.accessioned2026-07-07T13:01:03Z
dc.date.available2026-07-07T13:01:03Z
dc.descriptionWe 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.
dc.description11 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0811.1887
dc.identifierhttp://arxiv.org/abs/0811.1887
dc.identifierPhys.Rev.B79:064513,2009
dc.identifierdoi:10.1103/PhysRevB.79.064513
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/226036
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectSuperconductivity
dc.subjectHigh Energy Physics - Lattice
dc.titleFinite volume effects and dynamical chiral symmetry breaking in QED3
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