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
Towards an operator-algebraic construction of integrable global gauge theories Gandalf Lechner, Christian Schützenhofer open access link
Wick rotation for quantum field theories on degenerate Moyal space(-time) Harald Grosse, Gandalf Lechner, Thomas Ludwig, Rainer Verch open access link article file
Strict deformation quantization of locally convex algebras and modules Gandalf Lechner, Stefan Waldmann open access link
Pages