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Effective Mass of the Polaron: A Lower Bound

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2023)

Corrigendum and Addendum: Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times

Chiranjib Mukherjee et al.

Summary: The proof of [7, theorem 4.8] has a gap for large coupling constant alpha, while remaining correct for small alpha. The authors correct this error by providing a direct proof of [7, theorem 4.8] that holds for any alpha > 0. As a result, the main results of [7] on the existence and identification of the Polaron measure and its central limit theorem now hold for any alpha > 0.

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2022)

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Article Mathematics, Applied

A Functional Central Limit Theorem for Polaron Path Measures

Volker Betz et al.

Summary: The application of the Feynman-Kac formula to Polaron models of quantum theory leads to the path measure of Brownian motion perturbed by a translation-invariant pair potential. This study addresses the validity of a central limit theorem in infinite volume and shows the existence of relevant infinite volume limits. The results apply to the Frohlich Polaron for all coupling constants.

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2022)

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Article Physics, Mathematical