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 φ4-theory on the quantum 2-sphere. We find that the basic divergent diagram of the theory is regularised.
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Received: 3 July 1999 / Accepted: 10 November 2000
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Oeckl, R. Braided Quantum Field Theory. Commun. Math. Phys. 217, 451–473 (2001). https://doi.org/10.1007/s002200100375
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DOI: https://doi.org/10.1007/s002200100375