Towards the Chiral Limit of Strongly Coupled Quenched {QED}
Oct 19, 1989
30 pages
Published in:
- Nucl.Phys.B 333 (1990) 551-580
- Published: 1990
Report number:
- NSF-ITP-89-180
Citations per year
Abstract: (Elsevier)
Chiral symmetry breaking in quenched non-compact lattice QED is studied using the Lanczos and conjugate-gradient algorithms on lattices ranging in size from 8 4 to 32 4 . We find a phase transition at β c = 1/ ϵ 2 = 0.26–0.27 which is not described by mean field theory, supporting the notion that this model defines an interacting strongly coupled field theory. The finite-size effects and systematic errors in both algorithms are studied in quantitative detail. In the immediate vicinity of the phase transition, estimates of the chiral condensate are sensitive to the procedure for extracting the density of eigenvalues ϱ (0) in the Lanczos case and the zero fermion-mass extrapolation technique of the conjugate-gradient algorithm. In the Lanczos case, if we extract ϱ (0) by the same procedure as used in quenched non-abelian studies, the chiral condensate is well fitted by the essential singularity proposed by Miransky. However, the apparent lack of finite-size effects in quenched QED as compared to the non-abelian models makes this procedure seemingly arbitrary.- quantum electrodynamics: strong coupling
- strong coupling: quantum electrodynamics
- approximation: quenching
- symmetry breaking: chiral
- lattice field theory: critical phenomena
- effect: finite size
- fermion: condensation
- numerical calculations: Monte Carlo
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