Dr. Benjamin Hinrichs

• spectral theory of quantum theories
• effective aspects of quantum field theory
• mathematical methods of quantum physics

01/2022 Dr. rer. nat. Mathematics, Friedrich Schiller University Jena
Thesis: Existence of Ground States for Infrared-Critical Models of Quantum Field Theory
Supervisor: Prof. David Hasler
Referees: Prof. Ira Herbst (UVA Charlottesville), Prof. Oliver Matte (Aalborg)
doi:10.22032/dbt.51516External link

09/2016 M. Sc. Physics, Friedrich Schiller University Jena
Thesis: Higher spin black holes from CFT
Supervisor: Prof. Martin Ammon
Master's Thesispdf, 853 kb

09/2014 B. Sc. Physics, Friedrich Schiller University Jena
Thesis: Grundzustände der nicht-relativistischen Quantenelektrodynamik (German: Ground states of non-relativistic quantum electrodynamics)
Supervisors: Prof. Andreas Wipf, Prof. David Hasler
Bachelor's Thesispdf, 713 kb · de

Submitted Preprints

• Non-Fock Ground States in the Translation-Invariant Nelson Model Revisited Non-Perturbatively
  with David Hasler and Oliver Siebert
  arXiv:2302.06998External link
• Feynman-Kac formula and asymptotic behavior of the minimal energy for the relativistic Nelson model in two spatial dimensions
  with Oliver Matte
  arXiv:2211.14046External link
• Super-Gaussian Decay of Exponentials: A Sufficient Condition
  with Daan Willem Janssen and Jobst Ziebell
  arXiv:2205.09189External link

Refereed Journal Articles

• Absence of Ground States in the Renormalized Massless Translation-Invariant Nelson Model
  with Thomas Norman Dam
  Rev. Math. Phys. 34(10):2250033, 2022
  doi:10.1142/S0129055X22500337External link arXiv:1909.07661External link
• FKN Formula and Ground State Energy for the Spin Boson Model with External Magnetic Field
  with David Hasler and Oliver Siebert
  Ann. Henri Poincaré 23(8):2819-2853, 2022
  doi:10.1007/s00023-022-01160-6External link arXiv:2106.08659External link
• Correlation Bound for a One-Dimensional Continuous Long-Range Ising Model
  with David Hasler and Oliver Siebert
  Stoch. Process. Appl. 146:60-79, 2022
  doi:10.1016/j.spa.2021.12.010External link arXiv:2104.03013External link
• On Existence of Ground States in the Spin Boson Model
  with David Hasler and Oliver Siebert
  Commun. Math. Phys. 388(1):419-433, 2021
  doi:10.1007/s00220-021-04185-w External linkarXiv:2102.13373External link

Proceedings Articles and Others

• Existence of Ground States in the Infrared-Critial Spin Boson Model
  RIMS Kôkyûroku 2235(5):60-72, 2022,
  Fumio Hiroshima: Proceedings of the 2021 RIMS Workshop 'Mathematical Aspects of Quantum Fields and Related Topics'
  LinkExternal link arXiv:2204.00287External link
• Comment for the Newsletter Lehre of the Friedrich Schiller University Jena
  Newsletter Lehre 03/2021 de

09/2022 The Qubit and the Infrared Catastrophe
talk in the Minisymposium Mathematical Analysis of Complex Quantum Systems at the DMV Annual Meeting 2022, BerlinExternal link

06/2022 Existence of Ground States in the Massless Spin Boson Model
talk at Mathematics Seminar, Aarhus UniversityExternal link

04/2022 Infrared-Criticality and the Qubit
talk at Research Seminar Complex Quantum Systems, Paderborn UniversityExternal link

02/2022 Estimating the Decay of Eigenfunctions of Schrödinger Operators
talk (online) at PhD Seminar, Friedrich Schiller University Jena de

01/2022 Existence of Ground States for Infrared-Critical Models of Quantum Field Theory
Disputation (PhD Defense)

12/2021 Existence of Ground States in the Spin Boson Model
talk (online) at the 2021 RIMS conference Mathematical aspects of quantum fields and related topicsExternal link

08/2021 Existence of Ground States in the Spin Boson Model
poster (hybrid) at the XX International Congress on Mathematical Physics, GenevaExternal link

06/2021 Domain and Ground State Energy of the Renormalized Translation-Invariant Nelson Hamiltonian
talk (online) at IMB Seminaire Mathématique-Physique, DijonExternal link

08/2019 Absence of Ground States in the Nelson Model
talk at Siegmundsburg Seminar on Analysis & Theoretical Numeris, SiegmundsburgExternal link

08/2019 Absence of Ground States in the Renormalized Nelson Model
poster at QMath14: Mathematical Results in Quantum Physics, AarhusExternal link

05/2019 Some Rigorous Results on the Nelson Model
talk at PhD Seminar, Friedrich Schiller University Jena de

10/2018 On the Non-Relativistic Limit of Quantum Electrodynamics
talk at Mat/Fys Seminar, Aarhus UniversityExternal link

07/2018 On the Non-Relativistic Limit of Quantum Electrodynamics
poster at the XIX International Congress on Mathematical Physics, MontrealExternal link

03/2018 On the Non-Relativistic Limit of Quantum Electrodynamics
talk at Arizona School of Analysis and Mathematical Physics, Tucson, ArizonaExternal link

06/2017 Vertex Algebras in two-dimensional Conformal Field Theories
talk at PhD Seminar, Friedrich Schiller University Jena de

07/2016 Properties of Higher Spin Black Holes from CFT
Master's thesis defence

Representative of the academic employees in the faculty council of the Faculty for Mathematics and Computer Science, Friedrich Schiller University Jena (since 10/2022)

Organizer of the PhD Seminar of the mathematics institute, Friedrich Schiller University Jena (04/2018 – 03/2020)

Local Organizer of the Summer School Spectral Theory of Schrödinger OperatorsExternal link, Friedrich Schiller University Jena (07/2018)

Referee for Math. Phys. Anal. Geom., Rev. Math. Phys., Ann. Henri Poincaré, Lett. Math. Phys.

Supervisor and Referee for bachelor's and master's theses