Algebra for quantum fields

Details Algebra for quantum fields Algebra for quantum fields

2009-06-10

arxiv.org/abs/0906.1851v2

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, accepted for publication in the Clay Math. Inst. Proceedings of the workshop "Motives, Quantum Field Theory, and P

Scientific paper

We give an account of the current state of the approch to quantum field theory via Hopf algebras and Hochschild cohomology. We emphasize the versatility and mathematical foundation of this algebraic structure, and collect algebraic structures here in one place which are either scattered over the literature, or only implicit in previous writings. In particular we point out mathematical structures which can be helpful to farther develop our mathematical understanding of quantum fields.

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