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arXiv · hep-th/9906225

Braided Quantum Field Theory

Robert Oeckl
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Abstract

We develop a general framework for quantum field theory on noncommutative spaces, i.e., spaces with quantum group symmetry. We use the path integral approach to obtain expressions for $n$-point functions. Perturbation theory leads us to generalised Feynman diagrams which are braided, i.e., they have non-trivial over- and under-crossings. We demonstrate the power of our approach by applying it to $ϕ^4$-theory on the quantum 2-sphere. We find that the basic divergent diagram of the theory is regularised.

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Robert Oeckl. 2000-11-15. Braided Quantum Field Theory. https://doi.org/10.1007/s002200100375

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