Abstract
The creation of a quantum Universe is described by a density matrix which yields an ensemble of universes with the cosmological constant limited to a bounded range ${\ensuremath{\Lambda}}_{\mathrm{min}}\ensuremath{\le}\ensuremath{\Lambda}\ensuremath{\le}{\ensuremath{\Lambda}}_{\mathrm{max}}$. The domain $\ensuremath{\Lambda}l{\ensuremath{\Lambda}}_{\mathrm{min}}$ is ruled out by a cosmological bootstrap requirement (the self-consistent back reaction of hot matter). The upper cutoff results from the quantum effects of vacuum energy and the conformal anomaly mediated by a special ghost-avoidance renormalization. The cutoff ${\ensuremath{\Lambda}}_{\mathrm{max}}$ establishes a new quantum scale---the accumulation point of an infinite sequence of garland-type instantons. The dependence of the cosmological constant range on particle phenomenology suggests a possible dynamical selection mechanism for the landscape of string vacua.
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