---
OA_place: publisher
OA_type: hybrid
_id: '19661'
abstract:
- lang: eng
  text: The Nelson model describes non-relativistic particles coupled to a relativistic
    Bose scalar field. In this article, we study the renormalized version of the Nelson
    model with massless bosons in Davies' weak coupling limit. Our main result states
    that the two-body Coulomb potential emerges as an effective pair interaction between
    the particles, which arises from the exchange of virtual excitations of the quantum
    field.
acknowledgement: "D M thanks Nataˇsa Pavlovi´c for the invitation to the University
  of Texas at Austin and for the\r\nhospitality offered by the department, where part
  of this work was performed. E C gratefully\r\nacknowledges support from NSF under
  Grant Nos DMS-2009549 and DMS-2052789 through\r\nNataˇsa Pavlovi´"
article_number: '175201'
article_processing_charge: Yes (in subscription journal)
article_type: original
arxiv: 1
author:
- first_name: Esteban
  full_name: Cárdenas, Esteban
  last_name: Cárdenas
- first_name: David Johannes
  full_name: Mitrouskas, David Johannes
  id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
  last_name: Mitrouskas
citation:
  ama: 'Cárdenas E, Mitrouskas DJ. The renormalized Nelson model in the weak coupling
    limit. <i>Journal of Physics A: Mathematical and Theoretical</i>. 2025;58(17).
    doi:<a href="https://doi.org/10.1088/1751-8121/adcdd9">10.1088/1751-8121/adcdd9</a>'
  apa: 'Cárdenas, E., &#38; Mitrouskas, D. J. (2025). The renormalized Nelson model
    in the weak coupling limit. <i>Journal of Physics A: Mathematical and Theoretical</i>.
    IOP Publishing. <a href="https://doi.org/10.1088/1751-8121/adcdd9">https://doi.org/10.1088/1751-8121/adcdd9</a>'
  chicago: 'Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson
    Model in the Weak Coupling Limit.” <i>Journal of Physics A: Mathematical and Theoretical</i>.
    IOP Publishing, 2025. <a href="https://doi.org/10.1088/1751-8121/adcdd9">https://doi.org/10.1088/1751-8121/adcdd9</a>.'
  ieee: 'E. Cárdenas and D. J. Mitrouskas, “The renormalized Nelson model in the weak
    coupling limit,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol.
    58, no. 17. IOP Publishing, 2025.'
  ista: 'Cárdenas E, Mitrouskas DJ. 2025. The renormalized Nelson model in the weak
    coupling limit. Journal of Physics A: Mathematical and Theoretical. 58(17), 175201.'
  mla: 'Cárdenas, Esteban, and David Johannes Mitrouskas. “The Renormalized Nelson
    Model in the Weak Coupling Limit.” <i>Journal of Physics A: Mathematical and Theoretical</i>,
    vol. 58, no. 17, 175201, IOP Publishing, 2025, doi:<a href="https://doi.org/10.1088/1751-8121/adcdd9">10.1088/1751-8121/adcdd9</a>.'
  short: 'E. Cárdenas, D.J. Mitrouskas, Journal of Physics A: Mathematical and Theoretical
    58 (2025).'
corr_author: '1'
date_created: 2025-05-11T22:02:37Z
date_published: 2025-04-28T00:00:00Z
date_updated: 2025-09-30T12:24:45Z
day: '28'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1088/1751-8121/adcdd9
external_id:
  arxiv:
  - '2412.01670'
  isi:
  - '001474094200001'
file:
- access_level: open_access
  checksum: a181e1c2d8df08eb683a355e81c5e85a
  content_type: application/pdf
  creator: dernst
  date_created: 2025-05-12T07:13:07Z
  date_updated: 2025-05-12T07:13:07Z
  file_id: '19675'
  file_name: 2025_JourPhysicsA_Cardenas.pdf
  file_size: 551190
  relation: main_file
  success: 1
file_date_updated: 2025-05-12T07:13:07Z
has_accepted_license: '1'
intvolume: '        58'
isi: 1
issue: '17'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '04'
oa: 1
oa_version: Published Version
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_identifier:
  eissn:
  - 1751-8121
  issn:
  - 1751-8113
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
scopus_import: '1'
status: public
title: The renormalized Nelson model in the weak coupling limit
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: 58
year: '2025'
...
---
_id: '14421'
abstract:
- lang: eng
  text: Only recently has it been possible to construct a self-adjoint Hamiltonian
    that involves the creation of Dirac particles at a point source in 3d space. Its
    definition makes use of an interior-boundary condition. Here, we develop for this
    Hamiltonian a corresponding theory of the Bohmian configuration. That is, we (non-rigorously)
    construct a Markov jump process $(Q_t)_{t\in\mathbb{R}}$ in the configuration
    space of a variable number of particles that is $|\psi_t|^2$-distributed at every
    time t and follows Bohmian trajectories between the jumps. The jumps correspond
    to particle creation or annihilation events and occur either to or from a configuration
    with a particle located at the source. The process is the natural analog of Bell's
    jump process, and a central piece in its construction is the determination of
    the rate of particle creation. The construction requires an analysis of the asymptotic
    behavior of the Bohmian trajectories near the source. We find that the particle
    reaches the source with radial speed 0, but orbits around the source infinitely
    many times in finite time before absorption (or after emission).
acknowledgement: J H gratefully acknowledges partial financial support by the ERC
  Advanced Grant 'RMTBeyond' No. 101020331.
article_number: '445201'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Sven Joscha
  full_name: Henheik, Sven Joscha
  id: 31d731d7-d235-11ea-ad11-b50331c8d7fb
  last_name: Henheik
  orcid: 0000-0003-1106-327X
- first_name: Roderich
  full_name: Tumulka, Roderich
  last_name: Tumulka
citation:
  ama: 'Henheik SJ, Tumulka R. Creation rate of Dirac particles at a point source.
    <i>Journal of Physics A: Mathematical and Theoretical</i>. 2023;56(44). doi:<a
    href="https://doi.org/10.1088/1751-8121/acfe62">10.1088/1751-8121/acfe62</a>'
  apa: 'Henheik, S. J., &#38; Tumulka, R. (2023). Creation rate of Dirac particles
    at a point source. <i>Journal of Physics A: Mathematical and Theoretical</i>.
    IOP Publishing. <a href="https://doi.org/10.1088/1751-8121/acfe62">https://doi.org/10.1088/1751-8121/acfe62</a>'
  chicago: 'Henheik, Sven Joscha, and Roderich Tumulka. “Creation Rate of Dirac Particles
    at a Point Source.” <i>Journal of Physics A: Mathematical and Theoretical</i>.
    IOP Publishing, 2023. <a href="https://doi.org/10.1088/1751-8121/acfe62">https://doi.org/10.1088/1751-8121/acfe62</a>.'
  ieee: 'S. J. Henheik and R. Tumulka, “Creation rate of Dirac particles at a point
    source,” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 56, no.
    44. IOP Publishing, 2023.'
  ista: 'Henheik SJ, Tumulka R. 2023. Creation rate of Dirac particles at a point
    source. Journal of Physics A: Mathematical and Theoretical. 56(44), 445201.'
  mla: 'Henheik, Sven Joscha, and Roderich Tumulka. “Creation Rate of Dirac Particles
    at a Point Source.” <i>Journal of Physics A: Mathematical and Theoretical</i>,
    vol. 56, no. 44, 445201, IOP Publishing, 2023, doi:<a href="https://doi.org/10.1088/1751-8121/acfe62">10.1088/1751-8121/acfe62</a>.'
  short: 'S.J. Henheik, R. Tumulka, Journal of Physics A: Mathematical and Theoretical
    56 (2023).'
corr_author: '1'
date_created: 2023-10-12T12:42:53Z
date_published: 2023-10-11T00:00:00Z
date_updated: 2026-04-07T12:37:10Z
day: '11'
ddc:
- '510'
department:
- _id: GradSch
- _id: LaEr
doi: 10.1088/1751-8121/acfe62
ec_funded: 1
external_id:
  arxiv:
  - '2211.16606'
  isi:
  - '001080908000001'
file:
- access_level: open_access
  checksum: 5b68de147dd4c608b71a6e0e844d2ce9
  content_type: application/pdf
  creator: dernst
  date_created: 2023-10-16T07:07:24Z
  date_updated: 2023-10-16T07:07:24Z
  file_id: '14429'
  file_name: 2023_JourPhysics_Henheik.pdf
  file_size: 721399
  relation: main_file
  success: 1
file_date_updated: 2023-10-16T07:07:24Z
has_accepted_license: '1'
intvolume: '        56'
isi: 1
issue: '44'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
project:
- _id: 62796744-2b32-11ec-9570-940b20777f1d
  call_identifier: H2020
  grant_number: '101020331'
  name: Random matrices beyond Wigner-Dyson-Mehta
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_identifier:
  eissn:
  - 1751-8121
  issn:
  - 1751-8113
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
related_material:
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    status: public
scopus_import: '1'
status: public
title: Creation rate of Dirac particles at a point source
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: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 56
year: '2023'
...
---
_id: '10755'
abstract:
- lang: eng
  text: We provide a definition of the effective mass for the classical polaron described
    by the Landau–Pekar (LP) equations. It is based on a novel variational principle,
    minimizing the energy functional over states with given (initial) velocity. The
    resulting formula for the polaron's effective mass agrees with the prediction
    by LP (1948 J. Exp. Theor. Phys. 18 419–423).
acknowledgement: "We thank Herbert Spohn for helpful comments. Funding from the European
  Union’s Horizon\r\n2020 research and innovation programme under the ERC Grant Agreement
  No. 694227\r\n(DF and RS) and under the Marie Skłodowska-Curie Grant Agreement No.
  754411 (SR) is\r\ngratefully acknowledged."
article_number: '015201'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Dario
  full_name: Feliciangeli, Dario
  id: 41A639AA-F248-11E8-B48F-1D18A9856A87
  last_name: Feliciangeli
  orcid: 0000-0003-0754-8530
- first_name: Simone Anna Elvira
  full_name: Rademacher, Simone Anna Elvira
  id: 856966FE-A408-11E9-977E-802DE6697425
  last_name: Rademacher
  orcid: 0000-0001-5059-4466
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
citation:
  ama: 'Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for
    the Landau-Pekar equations. <i>Journal of Physics A: Mathematical and Theoretical</i>.
    2022;55(1). doi:<a href="https://doi.org/10.1088/1751-8121/ac3947">10.1088/1751-8121/ac3947</a>'
  apa: 'Feliciangeli, D., Rademacher, S. A. E., &#38; Seiringer, R. (2022). The effective
    mass problem for the Landau-Pekar equations. <i>Journal of Physics A: Mathematical
    and Theoretical</i>. IOP Publishing. <a href="https://doi.org/10.1088/1751-8121/ac3947">https://doi.org/10.1088/1751-8121/ac3947</a>'
  chicago: 'Feliciangeli, Dario, Simone Anna Elvira Rademacher, and Robert Seiringer.
    “The Effective Mass Problem for the Landau-Pekar Equations.” <i>Journal of Physics
    A: Mathematical and Theoretical</i>. IOP Publishing, 2022. <a href="https://doi.org/10.1088/1751-8121/ac3947">https://doi.org/10.1088/1751-8121/ac3947</a>.'
  ieee: 'D. Feliciangeli, S. A. E. Rademacher, and R. Seiringer, “The effective mass
    problem for the Landau-Pekar equations,” <i>Journal of Physics A: Mathematical
    and Theoretical</i>, vol. 55, no. 1. IOP Publishing, 2022.'
  ista: 'Feliciangeli D, Rademacher SAE, Seiringer R. 2022. The effective mass problem
    for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical.
    55(1), 015201.'
  mla: 'Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar
    Equations.” <i>Journal of Physics A: Mathematical and Theoretical</i>, vol. 55,
    no. 1, 015201, IOP Publishing, 2022, doi:<a href="https://doi.org/10.1088/1751-8121/ac3947">10.1088/1751-8121/ac3947</a>.'
  short: 'D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A:
    Mathematical and Theoretical 55 (2022).'
corr_author: '1'
date_created: 2022-02-13T23:01:35Z
date_published: 2022-01-19T00:00:00Z
date_updated: 2025-04-15T06:54:54Z
day: '19'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1088/1751-8121/ac3947
ec_funded: 1
external_id:
  arxiv:
  - '2107.03720'
file:
- access_level: open_access
  checksum: 0875e562705563053d6dd98fba4d8578
  content_type: application/pdf
  creator: dernst
  date_created: 2022-02-14T08:20:19Z
  date_updated: 2022-02-14T08:20:19Z
  file_id: '10757'
  file_name: 2022_JournalPhysicsA_Feliciangeli.pdf
  file_size: 1132380
  relation: main_file
  success: 1
file_date_updated: 2022-02-14T08:20:19Z
has_accepted_license: '1'
intvolume: '        55'
issue: '1'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '694227'
  name: Analysis of quantum many-body systems
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: 'Journal of Physics A: Mathematical and Theoretical'
publication_identifier:
  eissn:
  - 1751-8121
  issn:
  - 1751-8113
publication_status: published
publisher: IOP Publishing
quality_controlled: '1'
related_material:
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    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: The effective mass problem for the Landau-Pekar equations
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  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
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  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 55
year: '2022'
...