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Local Quantum Physics Crossroads

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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On the net of von Neumann algebras associated with a wedge and wedge-causal manifolds

Hans-Jürgen Borchers
December 12, 2009
modular theory, QFT on curved spacetimes, wedges, geometric modular action
Preprint
article file

Geometric modular action and spontaneous symmetry breaking

Detlev Buchholz, Stephen J. Summers
May 25, 2004
geometric modular action, spontaneous symmetry breaking
open access link Annales Henri Poincare 6 (2005) 607-624

On revolutionizing quantum field theory with Tomita's modular theory

Hans-Jürgen Borchers
February 23, 2000
modular theory, inclusions of von Neumann algebras, geometric modular action, algebraic quantum field theory, review
open access link J. Math. Phys. 41, 3604 (2000)

Geometric Modular Action, Wedge Duality and Lorentz Covariance are Equivalent for Generalized Free Fields

Johanna Gaier, Jakob Yngvason
October 20, 1999
modular objects, generalized free fields, geometric modular action
open access link J. Math. Phys. 41(9), 5910 (2000)

An Algebraic Characterization of Vacuum States in Minkowski Space. II. Continuity Aspects

Detlev Buchholz, Martin Florig, Stephen J. Summers
September 01, 1999
geometric modular action, modular flow
open access link
Lett.Math.Phys. 49 (1999) 337-350

The CPT-theorem in two-dimensional theories of local observables

Hans-Jürgen Borchers
October 23, 1992
modular theory, geometric modular action, CPT-theorem, wedge algebras, Borchers triples
open access link Comm. Math. Phys. 143 (2), (1992), 315-332

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