Quantum field theory. In theoretical physics, quantum field theory ( QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics, but not general relativity 's description of gravity. [1] : xi QFT is used in particle physics to construct physical models of subatomic particles and in condensed ...

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.

In particle physics, the history of quantum field theory starts with its creation by Paul Dirac, when he attempted to quantize the electromagnetic field in the late 1920s. Heisenberg was awarded the 1932 Nobel Prize in Physics "for the creation of quantum mechanics". Major advances in the theory were made in the 1940s and 1950s, leading to the ...

Dec 24, 2018 · This is an audio version of the Wikipedia Article:https://en.wikipedia.org/wiki/Axiomatic_quantum_field_theory00:00:37 1 Analytic approaches00:00:47 1.1 Wigh...

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 …

In physics, the Wightman axioms, named after 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 …

In mathematics and logic, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A theory is a consistent, relatively-self-contained body of knowledge which usually contains an axiomatic system and all its derived theorems. An axiomatic system that is completely described is a special kind of …

Individual axioms are almost always part of a larger axiomatic system ZF (the Zermelo–Fraenkel axioms without the axiom of choice) Together with the axiom of choice (see below), these are the de facto ... Wightman axioms (quantum field theory; See also. Axiomatic quantum field theory This page was ...