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An international platform for information exchange among scientists working on
mathematical, conceptual, and constructive problems in
local relativistic quantum physics (LQP).

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Gandalf Lechner's picture

Gandalf Lechner

Friedrich-Alexander Universität Erlangen-Nürnberg
http://www.gandalflechner.eu

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

Polarization-Free Quantum Fields and Interaction

Gandalf Lechner
March 07, 2003
two-dimensional models, integrable models, constructive QFT, wedge-local nets, inverse scattering
open access link Lett.Math.Phys. 64 (2003) 137-154

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Students

Deformations of Quantum Field Theories on Curved Spacetimes

Eric Morfa-Morales
PhD Thesis, 2012, Universität Wien
Advisors: Jakob Yngvason, Gandalf Lechner
QFT on curved spacetimes, deformations of quantum field theories
open access link

Theses

On the Construction of Quantum Field Theories with Factorizing S-Matrices

Gandalf Lechner
PhD Thesis, 2006, Universität Göttingen
Advisor: Detlev Buchholz
algebraic quantum field theory, constructive quantum field theory, low-dimensional models, modular theory
open access link

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