Allowing replica-molecule dissociation shifts the high-d hard-sphere dynamical glass transition to ϕ_d ∼ d log d / 2^{d+1}, matching the CJMS packing lower bound, while leaving the leading Kauzmann density unchanged.
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High-dimensional theory of the glass transition revisited: hopping and local defects
Allowing replica-molecule dissociation shifts the high-d hard-sphere dynamical glass transition to ϕ_d ∼ d log d / 2^{d+1}, matching the CJMS packing lower bound, while leaving the leading Kauzmann density unchanged.