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
Deformations of quantum field theories on spacetimes with Killing vector fields Claudio Dappiaggi, Gandalf Lechner, Eric Morfa-Morales open access link Commun.Math.Phys.305:99-130,2011 article file
Warped Convolutions, Rieffel Deformations and the Construction of Quantum Field Theories Detlev Buchholz, Gandalf Lechner, Stephen J. Summers open access link Commun.Math.Phys.304:95-123,2011
Deformations of Operator Algebras and the Construction of Quantum Field Theories Gandalf Lechner
ICMP XVI Proceedingsarticle file
Pages