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.
Divergence of the effective mass of a polaron in the strong coupling limit
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abstract
We consider the Fr\"ohlich model of a polaron, and show that its effective mass diverges in the strong coupling limit.
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2019 1verdicts
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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.