Scientific article
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English

Renewal approach for the energy–momentum relation of the Fröhlich polaron

ContributorsPolzer, Steffenorcid
Published inLetters in mathematical physics, vol. 113, no. 4, p. 1-11; 90
Publication date2023-08-18
First online date2023-08-18
Abstract

We study the qualitative behaviour of the energy–momentum relation of the Fröhlich 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, ∞) that does not need the validity of a central limit theorem for the path measure.

Keywords
  • Energy–momentum relation
  • Point processes
  • Polaron
  • Renewal theory
Citation (ISO format)
POLZER, Steffen. Renewal approach for the energy–momentum relation of the Fröhlich polaron. In: Letters in mathematical physics, 2023, vol. 113, n° 4, p. 1–11. doi: 10.1007/s11005-023-01711-w
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Article (Published version)
Identifiers
Additional URL for this publicationhttps://link.springer.com/10.1007/s11005-023-01711-w
Journal ISSN0377-9017
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130downloads

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