# Coproduct and star product in field theories on Lie-algebra noncommutative space-times

@article{AmelinoCamelia2001CoproductAS, title={Coproduct and star product in field theories on Lie-algebra noncommutative space-times}, author={Giovanni Amelino-Camelia and Michele Arzano}, journal={Physical Review D}, year={2001}, volume={65}, pages={084044} }

We propose a new approach to field theory on $\kappa$-Minkowski non-commutative space-time, a popular example of Lie-algebra space-time. Our proposal is essentially based on the introduction of a star product, a technique which is proving to be very fruitful in analogous studies of canonical non-commutative space-times, such as the ones recently found to play a role in the description of certain string-theory backgrounds. We find to be incorrect the expectation, previously reported in the…

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