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Algebraic quantum field theory information


Algebraic quantum field theory (AQFT) is an application to local quantum physics of C*-algebra theory. Also referred to as the Haag–Kastler axiomatic framework for quantum field theory, because it was introduced by Rudolf Haag and Daniel Kastler (1964). The axioms are stated in terms of an algebra given for every open set in Minkowski space, and mappings between those.

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Algebraic quantum field theory

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Algebraic quantum field theory (AQFT) is an application to local quantum physics of C*-algebra theory. Also referred to as the Haag–Kastler axiomatic...

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Quantum field theory in curved spacetime

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Jakob (eds.), "Algebraic QFT in Curved Spacetime and Quasifree Hadamard States: An Introduction", Advances in Algebraic Quantum Field Theory, Mathematical...

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Topological quantum field theory

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In gauge theory and mathematical physics, a topological quantum field theory (or topological field theory or TQFT) is a quantum field theory which computes...

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Quantum field theory

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theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics.: xi ...

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Constructive quantum field theory

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mathematical physics, constructive quantum field theory is the field devoted to showing that quantum field theory can be defined in terms of precise mathematical...

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Operator algebra

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representation theory, differential geometry, quantum statistical mechanics, quantum information, and quantum field theory. Operator algebras can be used...

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List of quantum field theories

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quantum field theories. The first few sections are organized according to their matter content, that is, the types of fields appearing in the theory....

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History of quantum field theory

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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...

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Detlev Buchholz

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physicist. He investigates quantum field theory, especially in the axiomatic framework of algebraic quantum field theory. Buchholz studied physics in...

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Gauge theory

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application in the quantum field theory of the weak force, and its unification with electromagnetism in the electroweak theory. Gauge theories became even more...

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Rudolf Haag

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of quantum field theories. This framework uses elements of the theory of operator algebras and is therefore referred to as algebraic quantum field theory...

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Conformal field theory

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A conformal field theory (CFT) is a quantum field theory that is invariant under conformal transformations. In two dimensions, there is an infinite-dimensional...

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Quantum algebra

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algebras, especially those arising in Lie theory. Subjects include: Quantum groups Skein theories Operadic algebra Diagrammatic algebra Quantum field...

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Axiomatic quantum field theory

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Axiomatic quantum field theory is a mathematical discipline which aims to describe quantum field theory in terms of rigorous axioms. It is strongly associated...

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Noncommutative quantum field theory

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In mathematical physics, noncommutative quantum field theory (or quantum field theory on noncommutative spacetime) is an application of noncommutative...

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Klaus Fredenhagen

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are algebraic quantum field theory and quantum field theory in curved spacetime. In 1981 he proved the existence of antiparticles in massive quantum field...

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Sergio Doplicher

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Roberts and Haag, he examined superselection rules in the algebraic quantum field theory, providing the first proof of the spin–statistics theorem entirely...

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Field theory

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Field theory may refer to: Field (mathematics), the theory of the algebraic concept of field Field theory (physics), a physical theory which employs fields...

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Effective field theory

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effective field theory is a type of approximation, or effective theory, for an underlying physical theory, such as a quantum field theory or a statistical...

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Loop quantum gravity

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Loop quantum gravity (LQG) is a theory of quantum gravity that incorporates matter of the Standard Model into the framework established for the intrinsic...

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History of quantum mechanics

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relativistic quantum theory work lead him to explore quantum theories of radiation, culminating in quantum electrodynamics, the first quantum field theory. The...

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Perturbation theory

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theory is used in a wide range of fields, and reaches its most sophisticated and advanced forms in quantum field theory. Perturbation theory (quantum...

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String theory

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string theory to another type of physical theory called a quantum field theory. One of the challenges of string theory is that the full theory does not...

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Classical field theory

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quantization; theories that incorporate quantum mechanics are called quantum field theories. In most contexts, 'classical field theory' is specifically...

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