Gandalf Lechner
About
I am particularly interested in new approaches to the problem of rigorously constructing quantum field theory models. A novel line of research addresses this question via operatoralgebraic deformations of quantum field theories, a topic also connected to noncommutative geometry and quantum field theory on noncommutative spaces. Steve Summers has written a nice overview over the 2009 status of “constructive algebraic quantum field theory” here: math.ufl.edu/~sjs/construction.html.
Papers
Crossing symmetry and the crossing map
Ricardo Correa da Silva, Luca Giorgetti, Gandalf Lechner open access link
KMS states on $\mathbb{Z}_2$crossed products and twisted KMS functionals
Ricardo Correa da Silva, Johannes Große, Gandalf Lechner open access link
Modular Structure and Inclusions of Twisted ArakiWoods Algebras
Ricardo Correa da Silva, Gandalf Lechner open access link Commun. Math. Phys. (2023)
Pages
Slides

Title: From the construction of integrable QFTs to the classification of unitary Rmatrices
Event: Mathematics of interacting QFT models
Date: July 5, 2019 
Title: Deformations of Operator Algebras and the Construction of Quantum Field Theories
Event: Algebraic Quantum Field Theory – the first 50 Years
Date: July 30, 2009 
Title: YangBaxter Representations of the Infinite Symmetric Group
Event: 40th LQP Workshop "Foundations and Constructive Aspects of QFT"
Date: June 24, 2017 
Title: Sigma Models in Algebraic Quantum Field Theory
Event: Local Quantum Physics and beyond  In memoriam Rudolf Haag
Date: September 27, 2016 
Title: Localization in Nets of Standard Spaces
Event: Algebraic Quantum Field Theory  Its status and its future
Date: May 21, 2014

Title: From the construction of integrable QFTs to the classification of unitary Rmatrices