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aqft

Local Isometric Invariant States

45 minute read

Published:

This blog post introduces the notion of “isometric invariant states” in Algebraic Quantum Field Theory (AQFT) in Minkowski spacetime (a theory defined in Unpacking the Haag Kastler Axioms) and also does the same for AQFT in Lorentzian spacetime (a theory defined in Haag Kastler Axioms in Curved Spacetime). Such “isometric invariant states” capture the physics of quantum systems that are invariant under isometries of spacetime.

GNS Construction Theorem

23 minute read

Published:

In this blog post we will state and prove the GNS Construction Theorem, which we make extensive use of in subsequent blog posts.

Unpacking the Haag Kastler Axioms

40 minute read

Published:

The aim of this blog post is to “sharpen” the statement of the Haag Kastler axioms (Haag and Kastler). As originally presented they were revolutionary. However, several small details were left under-specified. This blog post will hopefully clarify some of these details.

lcaqft

Local Isometric Invariant States

45 minute read

Published:

This blog post introduces the notion of “isometric invariant states” in Algebraic Quantum Field Theory (AQFT) in Minkowski spacetime (a theory defined in Unpacking the Haag Kastler Axioms) and also does the same for AQFT in Lorentzian spacetime (a theory defined in Haag Kastler Axioms in Curved Spacetime). Such “isometric invariant states” capture the physics of quantum systems that are invariant under isometries of spacetime.