For a class of polaron-type models, the energy-momentum relation is bounded below by the vacuum overlap and spectral gap, the effective mass equals the inverse limiting variance of the path measure, and vanishing variance characterizes absence of ground states at large momentum.
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Lower bound on the energy-momentum relation of the polaron
For a class of polaron-type models, the energy-momentum relation is bounded below by the vacuum overlap and spectral gap, the effective mass equals the inverse limiting variance of the path measure, and vanishing variance characterizes absence of ground states at large momentum.