QED: Chiral transition and the issue of triviality

Abstract

I give a review and progress report on studies of lattice QED. I emphasize analytical results and methods that are applied in data analysis. Also, I derive some bounds for the critical exponents and establish their connection with scaling violations. Triviality, as realized in ${\varphi }^4$ theory, is ruled out on theoretical grounds. I show that the present data, if analyzed correctly, all lead to the same conclusions. They are compatible with power law scaling with nongaussian exponents.

6 pages, 7 figures (not included), ILL-(TH)-93-24

Cited by in corpus (5)

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• Investigation of spontaneous symmetry breaking from a non standard approach
• Chiral condensate of lattice QCD with massless quarks from the probability distribution function method
• On strongly coupled quenched QED4, again: chiral symmetry breaking, Goldstone mechanism and the nature of the continuum limit
• Eigenmodes of the Dirac Operator and Chiral Properties of QCD with Sea Quarks