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
Yang-Baxter representations of the infinite symmetric group Gandalf Lechner, Ulrich Pennig, Simon Wood open access link
SO(d,1)-invariant Yang-Baxter operators and the dS/CFT correspondence Stefan Hollands, Gandalf Lechner open access link doi:10.1007/s00220-017-2942-6
Modular nuclearity: A generally covariant perspective Gandalf Lechner, Ko Sanders open access link Axioms 2016, 5(1), 5
Pages