Axiomatic quantum field theory

Operator product expansion

In quantum field theory, 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 axiom, it offers a non-perturbative approach to quantum field theory. One example is the vertex operator algebra, which has been used to construct two-dimensional conformal field theories. Whether this result can be extended to QFT in general, thus resolving many of the difficulties of a perturbative approach, remains an open research question. In practical calculations, such as those needed for scattering amplitudes in various collider experiments, the operator product expansion is used in QCD sum rules to combine results from both perturbative and non-perturbative (condensate) calculations. (Wikipedia).

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Integration 7 Integrating the Product of Functions Part 2 Example 1

Working through an example of the reverse of the product rule for integration.

From playlist Integration

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Working through an example using the reverse product rule for integration.

From playlist Integration

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From playlist Integration

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More resources available at www.misterwootube.com

From playlist Further Integration

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From playlist Integration

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Working through an example of the definite integral

From playlist Integration

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An example using the definite integral.

From playlist Integration

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Working through another example of the definite integral.

From playlist Integration

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From playlist Integration

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From playlist Mathematics

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From playlist String Theory: Past and Present

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From playlist Mathematical Physics

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From playlist Economic indicators and the business cycle | AP Macroeconomics | Khan Academy

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From playlist Symposium with Martin Hairer

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From playlist Analytic and Algebraic Geometry-2018

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From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

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From playlist Algebraic Structures in Perturbative Quantum Field Theory: a conference in honour of Dirk Kreimer's 60th birthday

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From playlist Mathematics

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From playlist Integration

Related pages

Radius of convergence | Laurent series | Antiholomorphic function | Commutator | Equivalence relation | Analytic function | Conformal field theory | Non-perturbative | Operator (mathematics) | Vertex operator algebra | Associative algebra | Algebra over a field | Taylor series | Scattering amplitude | Lie algebra | Ring of polynomial functions | Vector bundle | Holomorphic function