Haag–Ruelle scattering theory | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-30

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Wightman_axioms


00:00:54 1 Rationale
00:03:31 2 Axioms
00:03:41 2.1 W0 (assumptions of relativistic quantum mechanics)
00:14:51 2.2 W1 (assumptions on the domain and continuity of the field)
00:15:51 2.3 W2 (transformation law of the field)
00:17:02 2.4 W3 (local commutativity or microscopic causality)
00:18:16 3 Consequences of the axioms
00:20:45 4 Relation to other frameworks and concepts in quantum field theory
00:23:56 5 Existence of theories which satisfy the axioms
00:24:53 5.1 Osterwalder–Schrader reconstruction theorem
00:25:29 6 See also



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SUMMARY
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In physics, the Wightman axioms (also called  Gårding–Wightman axioms), named after Lars Gårding and Arthur Wightman, are an attempt at a mathematically rigorous formulation of quantum field theory. Arthur Wightman formulated the axioms in the early 1950s, but they were first published only in 1964 after Haag–Ruelle scattering theory affirmed their significance.
The axioms exist in the context of constructive quantum field theory, and they are meant to provide a basis for rigorous treatment of quantum fields, and strict foundation for the perturbative methods used. One of the Millennium Problems is to realize the Wightman axioms in the case of Yang–Mills fields.