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 operator-algebraic deformations of quantum field theories, a topic also connected to non-commutative geometry and quantum field theory on non-commutative 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
Integral representations of $f$-divergences for general von Neumann algebras Ricardo Correa da Silva, Markus B. Fröb, Gandalf Lechner, Leonardo Sangaletti open access link
Crossing symmetry and the crossing map Ricardo Correa da Silva, Luca Giorgetti, Gandalf Lechner open access link doi:10.1142/S0129055X24610051
KMS states on $\mathbb{Z}_2$-crossed products and twisted KMS functionals Ricardo Correa da Silva, Johannes Große, Gandalf Lechner open access link
Pages
Slides
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Title: From the construction of integrable QFTs to the classification of unitary R-matrices
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: Yang-Baxter 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
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Title: From the construction of integrable QFTs to the classification of unitary R-matrices