Spectroscopy, Scaling and Critical Indices in Strongly Coupled Quenched QED

Abstract

The interplay of spectroscopy, scaling laws and critical indices is studied in strongly coupled quenched QED. Interpreted as a model of technicolor having strong interactions at short distances, we predict the techni-meson mass spectrum in a simplified model of a dynamically generated top quark mass $M_f$. Our results support the strict inequality that the techni-sigma mass $M_{\sigma }$ is less than twice the dynamical quark mass $M_f$, and confirm that the techni-pion is a Nambu-Goldstone boson. The level ordering $0=M_{\pi }<M_{\sigma }<2M_f<M_{\rho }<M_{a1}$ is found.An equation of state, and scaling laws are derived for the techni-meson masses by exploiting correlation length scaling. The resulting universality relations are confirmed by simulations on $16^4$, $32\times 16^3$ and $32^4$ lattices. The anomalous dimension $\eta$ is measured to be approximatively $0.50$ in good agreement with past lattice simulations and hyperscaling relations, as well as with the analytic solution of the quenched, planar gauged Nambu-Jona Lasinio model solved by continuum Schwinger-Dyson equation techniques.

29 pages, 16 figures available as ps files by request. ILL-(TH)-92-#12 CERN-TH.6542/92

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