Algebra for quantum fields
arXiv:0906.1851
Abstract
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.
16 pages, accepted for publication in the Clay Math. Inst. Proceedings of the workshop "Motives, Quantum Field Theory, and Pseudodifferential Operators", Boston University, June 2-13, 2008
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