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
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
Modular Structure and Inclusions of Twisted Araki-Woods Algebras Ricardo Correa da Silva, Gandalf Lechner open access link Commun. Math. Phys. (2023)
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