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Effective mass of the Polaron: a lower bound

Published 17 Jan 2022 in math.PR, math-ph, and math.MP | (2201.06445v2)

Abstract: We show that the effective mass of the Fr\"ohlich Polaron is bounded below by $c\alpha{2/5}$ for some constant $c>0$ and for all coupling constants $\alpha$. The proof uses the point process representation of the path measure of the Fr\"ohlich Polaron.

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