Finite-volume effects and dynamical chiral symmetry breaking in QED{sub 3}
Journal Article
·
· Physical Review. B, Condensed Matter and Materials Physics
- Institute for Nuclear Physics, Darmstadt University of Technology, Schlossgartenstrasse 9, 64289 Darmstadt (Germany)
We investigate the impact of finite-volume effects on the critical number of flavors, N{sub f}{sup c}, for chiral symmetry restoration in QED{sub 3}. 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{sub f}{sup c} from values in the range of 3.61{<=}N{sub f}{sup c}{<=}3.84 in the infinite-volume and continuum limit down to values below N{sub f}{<=}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{sub f}{sup c} between continuum and lattice studies.
- OSTI ID:
- 21192537
- Journal Information:
- Physical Review. B, Condensed Matter and Materials Physics, Journal Name: Physical Review. B, Condensed Matter and Materials Physics Journal Issue: 6 Vol. 79; ISSN 1098-0121
- Country of Publication:
- United States
- Language:
- English
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