q-Integration on Quantum Spaces

Details q-Integration on Quantum Spaces q-Integration on Quantum Spaces

2002-06-11

arxiv.org/abs/hep-th/0206083v3

Eur.Phys.J. C32 (2004) 281-297

Physics

High Energy Physics

High Energy Physics - Theory

38 pages, Latex, corrected typos, major modifications to improve clarity

Scientific paper

10.1140/epjc/s2003-01397-7

In this article we present formulae for q-integration on quantum spaces which could be of particular importance in physics, i.e. q-deformed Minkowski space and q-deformed Euclidean space in 3 or 4 dimensions. Furthermore, our formulae can be regarded as a generalization of Jackson's q-integral to 3 and 4 dimensions and provide a new possibility for an integration over the whole space being invariant under translations and rotations.

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