Papers

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Algebraic constructive quantum field theory: Integrable models and deformation techniques

Gandalf Lechner
March 12, 2015
constructive AQFT, constructive quantum field theory, integrable models, deformations of quantum field theories
open access link

Thermal equilibrium states for quantum fields on non-commutative spacetimes

Gandalf Lechner, Jan Schlemmer
March 05, 2015
thermal quantum field theory, KMS states, QFT on non-commutative spaces
open access link

Localization in Nets of Standard Spaces

Gandalf Lechner, Roberto Longo
March 05, 2014
standard pairs, modular theory, minimal length, low-dimensional models
open access link Commun. Math. Phys. 336(1), 27-61 (2015)

Non-local in time perturbations of linear hyperbolic PDEs

Gandalf Lechner, Rainer Verch
July 06, 2013
hyperbolic partial differential equations, noncommutative geometry, star products, deformations
open access link J. Noncomm. Geometry 9 (3), 999-1040 (2015) article file

On the equivalence of two deformation schemes in quantum field theory

Gandalf Lechner, Jan Schlemmer, Yoh Tanimoto
September 12, 2012
deformations of quantum field theories, 2D QFT, chiral models
open access link Lett. Math. Phys. Vol. 103, Issue 4 (2013), 421-437

Towards an operator-algebraic construction of integrable global gauge theories

Gandalf Lechner, Christian Schützenhofer
August 11, 2012
constructive AQFT, integrable models, two-dimensional models, global gauge theories, inverse scattering
open access link

Wick rotation for quantum field theories on degenerate Moyal space(-time)

Harald Grosse, Gandalf Lechner, Thomas Ludwig, Rainer Verch
November 29, 2011
QFT on non-commutative spaces, Euclidean quantum field theories, deformations of quantum field theories
open access link article file

Strict deformation quantization of locally convex algebras and modules

Gandalf Lechner, Stefan Waldmann
September 27, 2011
open access link

Scaling limits of integrable quantum field theories

Henning Bostelmann, Gandalf Lechner, Gerardo Morsella
May 13, 2011
scaling limits, conformal symmetry, two-dimensional models, chiral models
open access link Rev. Math. Phys. 23 (2011), 1115-1156

Deformations of quantum field theories and integrable models

Gandalf Lechner
April 11, 2011
deformations of quantum field theories, integrable models
open access link Commun. Math. Phys. 212, 265-302 (2012)

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