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Quantum Electrodynamics (Book): Difference between revisions
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* Haag-Kastler/C*-algebra based QFTs (continued into Connes' approach) | * Haag-Kastler/C*-algebra based QFTs (continued into Connes' approach) | ||
* Topological QFTs (originating with Atiyah, Witten, and Segal with axiomatic conformal field theory) | * Topological QFTs (originating with Atiyah, Witten, and Segal with axiomatic conformal field theory) | ||
As Costello puts it, QFT based on Lagrangians of fields (and correlator techniques) is the most fundamental. C*-algebra QFT has been used to describe information theoretic aspects of QFT, even near black holes, but yields few concrete techniques in the way of relevant QFT. TQFTs skirt formulating the analytic content of what a QFT is, focusing instead on their emergent topological properties, but goes even further from real physics. They are however a novel topological invariant, so more resources on TQFT will appear here under further algebraic topology. | |||