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Renewal approach for the energy-momentum relation of the Fröhlich polaron (2206.14425v2)
Published 29 Jun 2022 in math-ph, math.MP, and math.PR
Abstract: We study the qualitative behaviour of the energy-momentum relation of the Fr\"ohlich polaron at fixed coupling strength. Among other properties, we show that it is non-decreasing and that the correction to the quasi-particle energy is negative. We give a proof that the effective mass lies in $(1, \infty)$ that does not need the validity of a central limit theorem for the path measure.
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