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arXiv · hep-lat/9206018

Spectroscopy, Scaling and Critical Indices in Strongly Coupled Quenched QED

A. Kocic·J. B. Kogut·M. -P. Lombardo·K. C. Wang
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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 $M_σ$ 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_π< M_σ< 2M_f < M_ρ< 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 $η$ 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.

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A. Kocic, J. B. Kogut, M. -P. Lombardo, K. C. Wang. 1992-06-22. Spectroscopy, Scaling and Critical Indices in Strongly Coupled Quenched QED. https://doi.org/10.1016/0550-3213(93)90351-o

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