Perturbative algebraic quantum field theory (introduction and examples)

Abstract: In this talk I will introduce the framework perturbative algebraic quantum field theory. It allows one to combine the method of Epstein-Glaser renormalisation with the idea of BV quantization, commonly applied to quantization of gauge theories. It straightforwardly generalizes to theories on a large class of Lorentzian manifolds. The same formalism can also be applied when one replaces the manifold with a finite collection of points, equipped with a partial order relation (modelling the causal order).

machine learningcommutative algebraalgebraic geometryalgebraic topologycombinatoricscategory theoryoperator algebrasrings and algebrasrepresentation theory

Audience: researchers in the topic

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Algebraic and Combinatorial Perspectives in the Mathematical Sciences

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