Publications

For more information, see also the publication list at Google ScholarinSPIRE, arxiv.org, and the reviews at mathscinet.

04.07.2017

Yang-Baxter representations of the infinite symmetric group

G. Lechner, U. Pennig, S. Wood -
14.03.2017

Quantum backflow and scattering

H. Bostelmann, D. Cadamuro, G. Lechner - Phys. Rev. A 96 (1) 012112 (2017)
04.12.2016

Approximation numbers of weighted composition operators

G. Lechner, D. Li, H. Queffélec, L. Rodríguez-Piazza -
09.11.2016

Recent Mathematical Developments in Quantum Field Theory

A. Abdesselam, S. Hollands, C. Kopper, G. Lechner - Oberwolfach Reports 13 (3), 2016, 2069–2122
12.08.2016

Inverse Scattering and Locality in Integrable Quantum Field Theories

19.03.2016

SO(d,1)-invariant Yang-Baxter operators and the dS/CFT correspondence

S. Hollands, G. Lechner - accepted for publication in Comm. Math. Phys.
01.12.2015

Modular nuclearity: A generally covariant perspective

12.03.2015

Algebraic constructive quantum field theory: Integrable models and deformation techniques

05.03.2015

Thermal equilibrium states for quantum fields on non-commutative spacetimes

05.03.2014

Localization in Nets of Standard Spaces

06.07.2013

Linear hyperbolic PDEs with noncommutative time

12.09.2012

On the Equivalence of Two Deformation Schemes in Quantum Field Theory

G. Lechner, J. Schlemmer, Y. Tanimoto - Lett. Math. Phys. 103, 421-437 (2012)
11.08.2012

Towards an operator-algebraic construction of integrable global gauge theories

G. Lechner, C. Schuetzenhofer - Ann. H. Poincaré 15(4), 2014, 645-678
29.11.2011

Wick rotation for quantum field theories on degenerate Moyal space(-time)

H. Grosse, G. Lechner, T. Ludwig, R. Verch - J. Math. Phys. 54 (2013) 022307
27.09.2011

Strict deformation quantization of locally convex algebras and modules

G. Lechner, S. Waldmann - J. Geom. Physics 99, 111-144 (2016)
13.05.2011

Scaling limits of integrable quantum field theories

H. Bostelmann, G. Lechner, G. Morsella - Rev.Math.Phys. 23(10), 2011, 1115-1156
11.04.2011

Deformations of quantum field theories and integrable models

17.06.2010

Deformations of quantum field theories on spacetimes with Killing vector fields

C. Dappiaggi, G. Lechner, E. Morfa-Morales - Commun. Math. Phys. 305, 99-130 (2011)
15.05.2010

Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories

D. Buchholz, G. Lechner, S.J. Summers - Commun. Math. Phys. 304, 95-123 (2011)
16.09.2009

Deformations of Operator Algebras and the Construction of Quantum Field Theories

26.08.2008

Noncommutative Deformations of Wightman Quantum Field Theories

H. Grosse, G. Lechner - JHEP 09 (2008) 131
26.10.2007

Wedge-Local Quantum Fields and Noncommutative Minkowski Space

H. Grosse, G. Lechner - JHEP 0711:012,2007
12.02.2007

Construction of Quantum Field Theories with Factorizing S-Matrices

05.05.2006

On the Construction of Quantum Field Theories with Factorizing S-Matrices

21.02.2005

Towards the construction of quantum field theories from a factorizing S-matrix

07.07.2004

On The Existence of Local Observables in Theories With a Factorizing S-Matrix

26.02.2004

Modular Nuclearity and Localization

07.03.2003

Polarization-Free Quantum Fields and Interaction