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
Construction of Quantum Field Theories with Factorizing S-Matrices Gandalf Lechner open access link Commun.Math.Phys.277:821-860,2008
Towards the construction of quantum field theories from a factorizing S-matrix Gandalf Lechner open access link
Prog.Math.251:175-198,2007
On the Existence of Local Observables in Theories With a Factorizing S-Matrix Gandalf Lechner open access link J.Phys. A38 (2005) 3045-3056
Pages