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- W4313304468 abstract "We prove the Fr{o}hlich polaron has effective mass at least $frac{alpha^4}{(log alpha)^6}$ when the coupling strength $alpha$ is large. This nearly matches the quartic growth rate $C_*alpha^4$ predicted by Landau and Pekar in 1948 and complements a recent sharp upper bound of Brooks and Seiringer. Our proof works with the path integral formulation of the problem and systematically applies the Gaussian correlation inequality to exploit quasi-concavity of the interaction terms." @default.
- W4313304468 created "2023-01-06" @default.
- W4313304468 creator A5012362703 @default.
- W4313304468 date "2022-12-28" @default.
- W4313304468 modified "2023-10-16" @default.
- W4313304468 title "Almost Quartic Lower Bound for the Fr{o}hlich Polaron's Effective Mass via Gaussian Domination" @default.
- W4313304468 doi "https://doi.org/10.48550/arxiv.2212.14023" @default.
- W4313304468 hasPublicationYear "2022" @default.
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