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12 relations: Analytic continuation, Arthur Wightman, Correlation function (quantum field theory), Dirac–von Neumann axioms, Functional analysis, Local quantum field theory, Metric signature, Operator algebra, Quantum field theory, Ray Streater, Schwinger function, Wightman axioms.
Analytic continuation
In complex analysis, a branch of mathematics, analytic continuation is a technique to extend the domain of a given analytic function.
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Arthur Wightman
Arthur Strong Wightman (March 30, 1922 – January 13, 2013) was an American mathematical physicist.
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Correlation function (quantum field theory)
In quantum field theory, the (real space) n-point correlation function is defined as the functional average (functional expectation value) of a product of n field operators at different positions.
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Dirac–von Neumann axioms
In mathematical physics, the Dirac–von Neumann axioms give a mathematical formulation of quantum mechanics in terms of operators on a Hilbert space.
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Functional analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. inner product, norm, topology, etc.) and the linear functions defined on these spaces and respecting these structures in a suitable sense.
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Local quantum field theory
The Haag–Kastler axiomatic framework for quantum field theory, introduced by, is an application to local quantum physics of C*-algebra theory.
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Metric signature
The signature of a metric tensor g (or equivalently, a real quadratic form thought of as a real symmetric bilinear form on a finite-dimensional vector space) is the number (counted with multiplicity) of positive and zero eigenvalues of the real symmetric matrix of the metric tensor with respect to a basis.
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Operator algebra
In functional analysis, an operator algebra is an algebra of continuous linear operators on a topological vector space with the multiplication given by the composition of mappings.
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Quantum field theory
In theoretical physics, quantum field theory (QFT) is the theoretical framework for constructing quantum mechanical models of subatomic particles in particle physics and quasiparticles in condensed matter physics.
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Ray Streater
Raymond Frederick "Ray" Streater (born 1936) is a British physicist, and professor emeritus of Applied Mathematics at King's College London.
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Schwinger function
In quantum field theory, the Wightman distributions can be analytically continued to analytic functions in Euclidean space with the domain restricted to the ordered set of points in Euclidean space with no coinciding points.
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Wightman axioms
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.
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References
[1] https://en.wikipedia.org/wiki/Axiomatic_quantum_field_theory
