Local Quantum Physics Crossroads

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

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