Axiomatic quantum field theory is a mathematical discipline which aims to describe quantum field theory in terms of rigorous axioms. It is strongly associated with functional analysis and operator algebras, but has also been studied in recent years from a more geometric and functorial perspective.
There are two main challenges in this discipline. First, one must propose a set of axioms which describe the general properties of any mathematical object that deserves to be called a "quantum field theory". Then, one gives rigorous mathematical constructions of examples satisfying these axioms.
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Axiomaticquantumfieldtheory is a mathematical discipline which aims to describe quantumfieldtheory in terms of rigorous axioms. It is strongly associated...
Algebraic quantumfieldtheory (AQFT) is an application to local quantum physics of C*-algebra theory. Also referred to as the Haag–Kastler axiomatic framework...
theoretical physics, quantumfieldtheory (QFT) is a theoretical framework that combines classical fieldtheory, special relativity, and quantum mechanics.: xi ...
mathematical physics, constructive quantumfieldtheory is the field devoted to showing that quantumfieldtheory can be defined in terms of precise mathematical...
the axiomatic approach to quantumfieldtheory, and originated the set of Wightman axioms. With his rigorous treatment of quantumfieldtheories, he promoted...
Wightman, are an attempt at a mathematically rigorous formulation of quantumfieldtheory. Arthur Wightman formulated the axioms in the early 1950s, but they...
the quantum mechanical study of bosons and fermions respectively. They play a prominent role in quantum statistical mechanics and quantumfieldtheory. Let...
In quantumfieldtheory, the Wightman distributions can be analytically continued to analytic functions in Euclidean space with the domain restricted to...
In quantumfieldtheory, the operator product expansion (OPE) is used as an axiom to define the product of fields as a sum over the same fields. As an...
superluminally. Technically, the microscopic causality postulate of axiomaticquantumfieldtheory implies the impossibility of superluminal communication using...
paradoxes within naive set theory (such as Russell's paradox, Cantor's paradox and the Burali-Forti paradox), various axiomatic systems were proposed in...
in axiomaticquantumfieldtheory. The condition was introduced in axiomaticquantumfieldtheory by Nikolay Bogolyubov in 1955. In axiomaticquantum theory...
interaction of quantumfields. Subsequently, Res Jost gave a more general proof in 1958 using the framework of axiomaticquantumfieldtheory. Efforts during...
them in dimension-independent form, in the context of constructive quantumfieldtheory. Similar results were discovered by other mathematicians before and...
theory — Quantumfieldtheory — Scattering theory — String theory — Quantum information theory Psychology: Theory of mind — Cognitive dissonance theory — Attachment...
for a significant contribution to quantumfieldtheory, classical and quantum statistical mechanics, and the theory of dynamical systems; he was the recipient...
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