Braided Quantum Field Theory |
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Authors: | Robert Oeckl |
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Affiliation: | Centre de Physique Théorique, CNRS Luminy, 13288 Marseille, France. E-mail: oeckl@cpt.univ-mrs.fr, FR
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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 φ4-theory on the quantum 2-sphere. We find that the basic divergent diagram of the theory is regularised. Received: 3 July 1999 / Accepted: 10 November 2000 |
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