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
Algebraic constructive quantum field theory: Integrable models and deformation techniques Gandalf Lechner open access link
Thermal equilibrium states for quantum fields on non-commutative spacetimes Gandalf Lechner, Jan Schlemmer open access link
Localization in Nets of Standard Spaces Gandalf Lechner, Roberto Longo open access link Commun. Math. Phys. 336(1), 27-61 (2015)
Pages