Spectroscopy, scaling and critical indices in strongly coupled quenched QED

Kocic, Aleksandar; Kogut, John B.; Lombardo, Maria-Paola; Wang, K.C.

doi:10.1016/0550-3213(93)90351-O

Spectroscopy, scaling and critical indices in strongly coupled quenched QED

Aleksandar Kocic
(
- CERN
)
,
John B. Kogut
(
- Illinois U., Urbana
)
,
Maria-Paola Lombardo
(
- Illinois U., Urbana
)
,
K.C. Wang
(
- New South Wales U.
)

Jun, 1992

34 pages

Published in:

Nucl.Phys.B 397 (1993) 451-478

e-Print:

hep-lat/9206018 [hep-lat]

DOI:

10.1016/0550-3213(93)90351-O

Report number:

CERN-TH-6542-92,
ILL-TH-92-12,
ILLINOIS-UNIV-P-92-6-83

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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_\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.

quantum electrodynamics: strong coupling
strong coupling: quantum electrodynamics
lattice field theory
approximation: quenching
scaling
critical phenomena
meson: mass spectrum
mass spectrum: meson
correlation: length
universality

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