Research in the QFT group

2027

• Keller M., Pettinari L., Van de Ven C.:
  Coupling of the continuum and semiclassical limit. Part I: convergence of eigenvalues
  (2027)
  DOI: 10.48550/arXiv.2602.23156
  BibTeX: Download

2026

• Correa da Silva R., Fröb M., Lechner G., Sangaletti L.:
  Integral representations of f-divergences for general von Neumann algebras
  (2026)
  URL: https://arxiv.org/abs/2607.05195
  BibTeX: Download
• Lechner G.:
  The classification problem for unitary R-Matrices with two eigenvalues
  (2026)
  DOI: 10.48550/arXiv.2603.20158
  URL: https://arxiv.org/abs/2603.20158
  BibTeX: Download
• Lechner G.:
  Unitary R-matrices, mostly with two eigenvalues
  Oberwolfach Mini-Workshop: The Yang–Baxter Equation and Representations of Braid Groups (Oberwolfach, 27.10.2025 - 31.10.2025)
  DOI: 10.4171/owr/2025/49
  BibTeX: Download
• Lechner G., Romualdo de Oliveira I.:
  Causal quantum-mechanical localization observables in lattices of real projections
  (2026)
  DOI: 10.48550/arXiv.2602.11392
  URL: https://arxiv.org/abs/2602.11392
  BibTeX: Download

2025

• Correa da Silva R., Lechner G.:
  Inclusions of Standard Subspaces
  In: Communications in Mathematical Physics 406 (2025), Art.Nr.: 283
  ISSN: 0010-3616
  DOI: 10.1007/s00220-025-05458-4
  URL: https://arxiv.org/abs/2506.16085
  BibTeX: Download
• Correa da Silva R., Lechner G.:
  Standard Subspaces and twisted Araki-Woods subfactors
  Subfactors and Applications (Mathematisches Forschungsinstitut Oberwolfach, 28.07.2025 - 01.08.2025)
  BibTeX: Download
• Koot I.:
  Relative positions of half-sided modular inclusions
  In: Letters in Mathematical Physics 115 (2025), Art.Nr.: 118
  ISSN: 0377-9017
  DOI: 10.1007/s11005-025-02008-w
  BibTeX: Download

2024

• Adamo MS., Lechner G., Longo R., Neeb KH.:
  Standard Subspaces in Quantum Field Theory and Representation Theory
  2024
  (Oberwolfach Reports, Bd.20)
  DOI: 10.14760/OWR-2023-50
  URL: https://publications.mfo.de/handle/mfo/4092
  BibTeX: Download
• Cadamuro D., Lechner G.:
  Operator-Algebraic Constructions of QFT Models in Two Dimensions
  In: Encyclopedia of Mathematical Physics (Second Edition), 2024, S. 291-303
  DOI: 10.1016/B978-0-323-95703-8.00268-8
  URL: https://www.sciencedirect.com/science/article/abs/pii/B9780323957038002688?via=ihub
  BibTeX: Download
• Correa da Silva R., Giorgetti L., Lechner G.:
  Crossing symmetry and the crossing map
  In: Reviews in Mathematical Physics (2024)
  ISSN: 0129-055X
  DOI: 10.1142/S0129055X24610051
  BibTeX: Download
• Correa da Silva R., Große J., Lechner G.:
  KMS states on Z2-crossed products and twisted KMS functionals
  In: Annales Henri Poincaré (2024)
  ISSN: 1424-0637
  DOI: 10.1007/s00023-024-01516-0
  URL: https://arxiv.org/abs/2402.15574
  BibTeX: Download
• Lechner G.:
  Twisted Araki-Woods Algebras, the Yang-Baxter Equation, and quantum field theory
  In: Geometric Methods in Physics XL, Birkhäuser, 2024, S. 127-144 (Trends in Mathematics)
  ISBN: 978-3-031-62406-3
  DOI: 10.1007/978-3-031-62407-0
  URL: https://link.springer.com/book/10.1007/978-3-031-62407-0
  BibTeX: Download
• Mandrysch J.:
  Numerical results on quantum energy inequalities in integrable models at the two-particle level
  In: Physical Review D 109 (2024), Art.Nr.: 085022
  ISSN: 2470-0010
  DOI: 10.1103/PhysRevD.109.085022
  BibTeX: Download

2023

• Correa da Silva R., Lechner G.:
  Modular Structure and Inclusions of Twisted Araki-Woods Algebras
  In: Communications in Mathematical Physics (2023)
  ISSN: 0010-3616
  DOI: 10.1007/s00220-023-04773-y
  URL: https://link.springer.com/article/10.1007/s00220-023-04773-y
  BibTeX: Download
• Deadman T., Lechner G.:
  Classification of unitary R-matrices by braid group characters
  Oberwolfach Workshop 2309a "Skew Braces and the Yang-Baxter Equation" (Oberwolfach, 26.02.2023 - 04.03.2023)
  DOI: 10.4171/OWR/2023/9
  BibTeX: Download
• Lechner G., Correa da Silva R.:
  Inclusions of Standard Subspaces
  Mini-Workshop on Standard Subspaces in Quantum Field Theory and Representation Theory (Oberwolfach, 29.10.2023 - 03.11.2023)
  BibTeX: Download

2022

• Lechner G., Scotford C.:
  Deformations of half-sided modular inclusions and non-local chiral field theories
  In: Communications in Mathematical Physics (2022)
  ISSN: 0010-3616
  DOI: 10.1007/s00220-022-04324-x
  URL: https://link.springer.com/article/10.1007/s00220-022-04324-x
  BibTeX: Download

2021

• Bostelmann H., Cadamuro D., Lechner G.:
  High Energy Bounds On Wave Operators
  In: Journal of Operator Theory 86 (2021), S. 61-91
  ISSN: 0379-4024
  DOI: 10.7900/jot.2020feb01.2285
  BibTeX: Download
• Conti R., Lechner G.:
  Yang–Baxter endomorphisms
  In: Journal of the London Mathematical Society-Second Series 103 (2021), S. 633-671
  ISSN: 0024-6107
  DOI: 10.1112/jlms.12387
  BibTeX: Download
• Lechner G.:
  Braid groups, the Yang–Baxter equation, and subfactors
  In: Snapshots of Modern Mathematics from Oberwolfach (2021)
  ISSN: 2626-1995
  BibTeX: Download

2020

• Lechner G., Scotford C.:
  Fock representations of ZF algebras and R-matrices
  In: Letters in Mathematical Physics 110 (2020), S. 1623-1643
  ISSN: 0377-9017
  DOI: 10.1007/s11005-020-01271-3
  BibTeX: Download

2019

• Lechner G., Pennig U., Wood S.:
  Yang-Baxter representations of the infinite symmetric group
  In: Advances in Mathematics 355 (2019), Art.Nr.: 106769
  ISSN: 0001-8708
  DOI: 10.1016/j.aim.2019.106769
  BibTeX: Download

2018

• Hollands S., Lechner G.:
  SO(d, 1) -Invariant Yang–Baxter Operators and the dS/CFT Correspondence
  In: Communications in Mathematical Physics 357 (2018), S. 159-202
  ISSN: 0010-3616
  DOI: 10.1007/s00220-017-2942-6
  BibTeX: Download
• Lechner G., Li D., Queffelec H., Rodriguez-Piazza L.:
  Approximation numbers of weighted composition operators
  In: Journal of Functional Analysis 274 (2018), S. 1928-1958
  ISSN: 0022-1236
  DOI: 10.1016/j.jfa.2018.01.010
  BibTeX: Download

2017

• Alazzawi S., Lechner G.:
  Inverse Scattering and Local Observable Algebras in Integrable Quantum Field Theories
  In: Communications in Mathematical Physics 354 (2017), S. 913-956
  ISSN: 0010-3616
  DOI: 10.1007/s00220-017-2891-0
  BibTeX: Download
• Bostelmann H., Cadamuro D., Lechner G.:
  Quantum backflow and scattering
  In: Physical Review A 96 (2017), Art.Nr.: 012112
  ISSN: 1050-2947
  DOI: 10.1103/PhysRevA.96.012112
  BibTeX: Download

2016

• Abdesselam A., Hollands S., Kopper C., Lechner G.:
  Recent Mathematical Developments in Quantum Field Theory
  In: Oberwolfach reports 13 (2016), S. 2069-2122
  ISSN: 1660-8933
  DOI: 10.4171/OWR/2016/36
  BibTeX: Download
• Lechner G., Sanders K.:
  Modular nuclearity: A generally covariant perspective
  In: Axioms 5 (2016), Art.Nr.: 5
  ISSN: 2075-1680
  DOI: 10.3390/axioms5010005
  BibTeX: Download
• Lechner G., Schlemmer J.:
  Thermal equilibrium states for quantum fields on non-commutative spacetimes
  In: Felix Finster, Johannes Kleiner, Christian Röken, Jürgen Tolksdorf (Hrsg.): Quantum Mathematical Physics, Springer International Publishing, 2016, S. 179-199
  ISBN: 9783319269023
  DOI: 10.1007/978-3-319-26902-3_10
  BibTeX: Download
• Lechner G., Waldmann S.:
  Strict deformation quantization of locally convex algebras and modules
  In: Journal of Geometry and Physics 99 (2016), S. 111-144
  ISSN: 0393-0440
  DOI: 10.1016/j.geomphys.2015.09.013
  BibTeX: Download

2015

• Lechner G.:
  Algebraic constructive quantum field theory: Integrable models and deformation techniques
  In: Romeo Brunetti, Claudio Dappiaggi, Klaus Fredenhagen, Jakob Yngvason (Hrsg.): Advances in Algebraic Quantum Field Theory, Springer International Publishing, 2015 (Mathematical Physics Studies)
  ISBN: 9783319213538
  DOI: 10.1007/978-3-319-21353-8_10
  BibTeX: Download
• Lechner G., Longo R.:
  Localization in Nets of Standard Spaces
  In: Communications in Mathematical Physics 336 (2015), S. 27-61
  ISSN: 0010-3616
  DOI: 10.1007/s00220-014-2199-2
  BibTeX: Download
• Lechner G., Verch R.:
  Linear hyperbolic PDEs with noncommutative time
  In: Journal of Noncommutative Geometry 9 (2015), S. 999-1040
  ISSN: 1661-6952
  DOI: 10.4171/JNCG/214
  BibTeX: Download

2014

• Lechner G., Schuetzenhofer C.:
  Towards an Operator-Algebraic Construction of Integrable Global Gauge Theories
  In: Annales Henri Poincaré 15 (2014), S. 645-678
  ISSN: 1424-0637
  DOI: 10.1007/s00023-013-0260-x
  BibTeX: Download

2013

• Grosse H., Lechner G., Ludwig T., Verch R.:
  Wick rotation for quantum field theories on degenerate Moyal space(-time)
  In: Journal of Mathematical Physics 54 (2013), Art.Nr.: 022307
  ISSN: 0022-2488
  DOI: 10.1063/1.4790886
  BibTeX: Download
• Lechner G., Schlemmer J., Tanimoto Y.:
  On the Equivalence of Two Deformation Schemes in Quantum Field Theory
  In: Letters in Mathematical Physics 103 (2013), S. 421-437
  ISSN: 0377-9017
  DOI: 10.1007/s11005-012-0599-9
  BibTeX: Download

2012

• Lechner G.:
  Deformations of Quantum Field Theories and Integrable Models
  In: Communications in Mathematical Physics 312 (2012), S. 265-302
  ISSN: 0010-3616
  DOI: 10.1007/s00220-011-1390-y
  BibTeX: Download

2011

• Bostelmann H., Lechner G., Morsella G.:
  Scaling limits of integrable quantum field theories
  In: Reviews in Mathematical Physics 23 (2011), S. 1115-1156
  ISSN: 0129-055X
  DOI: 10.1142/S0129055X11004539
  BibTeX: Download
• Buchholz D., Lechner G., Summers SJ.:
  Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories
  In: Communications in Mathematical Physics 304 (2011), S. 95-123
  ISSN: 0010-3616
  DOI: 10.1007/s00220-010-1137-1
  BibTeX: Download
• Dappiaggi C., Lechner G., Morfa-Morales E.:
  Deformations of Quantum Field Theories on Spacetimes with Killing Vector Fields
  In: Communications in Mathematical Physics 305 (2011), S. 99-130
  ISSN: 0010-3616
  DOI: 10.1007/s00220-011-1210-4
  BibTeX: Download

2010

• Lechner G.:
  Deformations of operator algebras and the construction of quantum field theories
  XVIth International Congress on Mathematical Physics
  DOI: 10.1142/9789814304634_0040
  BibTeX: Download

2008

• Grosse H., Lechner G.:
  Noncommutative deformations of Wightman quantum field theories
  In: Journal of High Energy Physics (2008), Art.Nr.: ARTN 131
  ISSN: 1029-8479
  DOI: 10.1088/1126-6708/2008/09/131
  BibTeX: Download
• Lechner G.:
  Construction of quantum field theories with factorizing S-matrices
  In: Communications in Mathematical Physics 277 (2008), S. 821-860
  ISSN: 0010-3616
  DOI: 10.1007/s00220-007-0381-5
  BibTeX: Download

2007

• Grosse H., Lechner G.:
  Wedge-local quantum fields and noncommutative Minkowski space
  In: Journal of High Energy Physics (2007), Art.Nr.: ARTN 012
  ISSN: 1029-8479
  DOI: 10.1088/1126-6708/2007/11/012
  BibTeX: Download
• Lechner G.:
  Towards the construction of quantum field theories from a factorizing S-matrix
  In: Rigorous Quantum Field Theory, Springer Basel, 2007, S. 175-197 (Progress in Mathematics, Bd.251)
  DOI: 10.1007/978-3-7643-7434-1_13
  BibTeX: Download

2005

• Lechner G.:
  On the existence of local observables in theories with a factorizing S-matrix
  In: Journal of Physics A: Mathematical and General 38 (2005), S. 3045-3056
  ISSN: 0305-4470
  DOI: 10.1088/0305-4470/38/13/015
  BibTeX: Download

2004

• Buchholz D., Lechner G.:
  Modular nuclearity and localization
  In: Annales Henri Poincaré 5 (2004), S. 1065-1080
  ISSN: 1424-0637
  DOI: 10.1007/s00023-004-0190-8
  BibTeX: Download

2003

• Lechner G.:
  Polarization-free quantum fields and interaction
  In: Letters in Mathematical Physics 64 (2003), S. 137–154
  ISSN: 0377-9017
  DOI: 10.1023/A:1025772304804
  URL: http://arxiv.org/abs/hep-th/0303062
  BibTeX: Download