2008/11/12 by Tobias Goecke, Christian S. Fischer, Richard Williams · 1 citation
Mathematics · Physics and Astronomy · #Combinatorics #Dimension (graph theory) #Finite volume method #High-Energy Particle Collisions Research #Lattice (music) #Mathematical physics #Mathematics #Order (exchange) #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Volume (thermodynamics) #cond-mat.supr-con #hep-lat #hep-ph
paper · pdf · doi:10.1103/physrevb.79.064513
published as Phys.Rev.B79:064513,2009 · 11 pages, 8 figures
arxiv created 2008/11/12 · openalex publication_date 2009/02/11 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We investigate the impact of finite-volume effects on the critical number of flavors, 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\ensuremath≤Nfc\ensuremath≤3.84 in the infinite-volume and continuum limit down to values below Nf\ensuremath≤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.