Almost quartic lower bound for the Fröhlich polaron's effective mass via Gaussian domination

Gaussian processes (60G15) Brownian motion (60J65) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Strong interaction, including quantum chromodynamics (81V05)

Cites Work

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Estimates on functional integrals of quantum mechanics and non-relativistic quantum field theory
Polaron models with regular interactions at strong coupling
Equivalence of two definitions of the effective mass of a polaron
Effective mass of the polaron -- revisited
Divergence of the effective mass of a polaron in the strong coupling limit
Identification of the polaron measure in strong coupling and the Pekar variational formula
Existence and uniqueness of physical ground states
The strongly coupled polaron on the torus: quantum corrections to the Pekar asymptotics
Effective mass of the Polaron: a lower bound
Asymptotics for the polaron
Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
Mean‐Field Interaction of Brownian Occupation Measures II: A Rigorous Construction of the Pekar Process
Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron
Identification of the Polaron Measure I: Fixed Coupling Regime and the Central Limit Theorem for Large Times
A simple proof of the Gaussian correlation conjecture extended to multivariate gamma distributions
Royen’s Proof of the Gaussian Correlation Inequality
Radon-Nikodym Derivatives of Gaussian Measures
Slow Electrons in a Polar Crystal
A Functional Central Limit Theorem for Polaron Path Measures
Renewal approach for the energy-momentum relation of the Fröhlich polaron
The Fröhlich polaron at strong coupling. I: the quantum correction to the classical energy

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