The paper rigorously proves (m_eff)^-1 = sigma^2 > 0 for polaron-type models with UV cutoff, and for the Fröhlich polaron outside an intermediate coupling range, using spectral theory and central limit theorems.
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Effective mass of the polaron -- revisited
The paper rigorously proves (m_eff)^-1 = sigma^2 > 0 for polaron-type models with UV cutoff, and for the Fröhlich polaron outside an intermediate coupling range, using spectral theory and central limit theorems.