Star Product Algebras of Test Functions
نویسنده
چکیده
We prove that the Gelfand-Shilov spaces S α are topological algebras under the Moyal star product if and only if α ≥ β. These spaces of test functions can be used in quantum field theory on noncommutative spacetime. The star product depends continuously in their topology on the noncommutativity parameter. We also prove that the series expansion of the Moyal product is absolutely convergent in S α if and only if β < 1/2.
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تاریخ انتشار 2007