---
OA_place: publisher
OA_type: hybrid
_id: '17478'
abstract:
- lang: eng
  text: "We study the Fröhlich polaron model in R3, and prove a lower bound on its
    ground state energy as a function of the total momentum. The bound is asymptotically
    sharp at large coupling. In combination with a corresponding upper bound proved
    earlier (Mitrouskas et al. in Forum Math. Sigma 11:1–52, 2023), it shows that
    the energy is approximately parabolic below the continuum threshold, and that
    the polaron’s effective mass (defined as the semi-latus rectum of the\r\nparabola)
    is given by the celebrated Landau–Pekar formula. In particular, it diverges as
    α4 for large coupling constant α."
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Morris
  full_name: Brooks, Morris
  id: B7ECF9FC-AA38-11E9-AC9A-0930E6697425
  last_name: Brooks
  orcid: 0000-0002-6249-0928
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Brooks M, Seiringer R. The Fröhlich polaron at strong coupling: Part II —
    Energy-momentum relation and effective mass. <i>Publications Mathematiques de
    l’Institut des Hautes Etudes Scientifiques</i>. 2024;140:271-309. doi:<a href="https://doi.org/10.1007/s10240-024-00150-0">10.1007/s10240-024-00150-0</a>'
  apa: 'Brooks, M., &#38; Seiringer, R. (2024). The Fröhlich polaron at strong coupling:
    Part II — Energy-momentum relation and effective mass. <i>Publications Mathematiques
    de l’Institut Des Hautes Etudes Scientifiques</i>. Springer Nature. <a href="https://doi.org/10.1007/s10240-024-00150-0">https://doi.org/10.1007/s10240-024-00150-0</a>'
  chicago: 'Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong
    Coupling: Part II — Energy-Momentum Relation and Effective Mass.” <i>Publications
    Mathematiques de l’Institut Des Hautes Etudes Scientifiques</i>. Springer Nature,
    2024. <a href="https://doi.org/10.1007/s10240-024-00150-0">https://doi.org/10.1007/s10240-024-00150-0</a>.'
  ieee: 'M. Brooks and R. Seiringer, “The Fröhlich polaron at strong coupling: Part
    II — Energy-momentum relation and effective mass,” <i>Publications Mathematiques
    de l’Institut des Hautes Etudes Scientifiques</i>, vol. 140. Springer Nature,
    pp. 271–309, 2024.'
  ista: 'Brooks M, Seiringer R. 2024. The Fröhlich polaron at strong coupling: Part
    II — Energy-momentum relation and effective mass. Publications Mathematiques de
    l’Institut des Hautes Etudes Scientifiques. 140, 271–309.'
  mla: 'Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling:
    Part II — Energy-Momentum Relation and Effective Mass.” <i>Publications Mathematiques
    de l’Institut Des Hautes Etudes Scientifiques</i>, vol. 140, Springer Nature,
    2024, pp. 271–309, doi:<a href="https://doi.org/10.1007/s10240-024-00150-0">10.1007/s10240-024-00150-0</a>.'
  short: M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes
    Etudes Scientifiques 140 (2024) 271–309.
corr_author: '1'
date_created: 2024-09-01T22:01:08Z
date_published: 2024-12-01T00:00:00Z
date_updated: 2025-09-08T09:08:36Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s10240-024-00150-0
external_id:
  arxiv:
  - '2211.03353'
  isi:
  - '001297785000001'
file:
- access_level: open_access
  checksum: af3becc50f7534c9409d3ff8b5c47ed6
  content_type: application/pdf
  creator: dernst
  date_created: 2025-01-13T08:13:42Z
  date_updated: 2025-01-13T08:13:42Z
  file_id: '18824'
  file_name: 2024_PublicMathIHES_Brooks.pdf
  file_size: 924342
  relation: main_file
  success: 1
file_date_updated: 2025-01-13T08:13:42Z
has_accepted_license: '1'
intvolume: '       140'
isi: 1
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
page: 271-309
publication: Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques
publication_identifier:
  eissn:
  - 1618-1913
  issn:
  - 0073-8301
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation
  and effective mass'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 140
year: '2024'
...