QCD is accessible at weak and strong coupling via series expansions
in the coupling $g$ and in $1/g$ respectively. However, these expansions
both fail at $g \simeq 1$. Introduced by Creutz in the early eighties,
Monte Carlo simulations are the best tool for investigating this
latter regime. The continuum limit of the lattice theory is obtained
as $g$ approaches zero, as dictated by asymptotic freedom. Early numerical
results showed the existence of a window in $g$ where one can simulate
continuum-like physics. In this window, confinement is observed.
References:
- M. Creutz, Phys. Rev. D21, 2308 (1980).
- I. Montvay, G. Muenster, Quantum Fields on a Lattice,
Cambridge University Press, 1997, sects 3.5-6 and 7.1-3.
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