Summary
The quasiplanar Wick products on the noncommutative Minkowski space defined in [5] by subtracting only local counterterms are reviewed. In addition, it is shown that ordinary Wick products on the noncommutative Minkowski space indeed involve nonlocal counterterms. A discussion of Wightman functions on the noncommutative Minkowski space is included and a cluster decomposition property (i.e. causality at large distances) is proved.
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References
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Bahns, D. (2007). Local Counterterms on the Noncommutative Minkowski Space. In: de Monvel, A.B., Buchholz, D., Iagolnitzer, D., Moschella, U. (eds) Rigorous Quantum Field Theory. Progress in Mathematics, vol 251. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-7434-1_2
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DOI: https://doi.org/10.1007/978-3-7643-7434-1_2
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