Field theory on noncommutative spacetimes: Quasiplanar Wick products
Copyright policy )Field theory on noncommutative spacetimes: Quasiplanar Wick products
We give a definition of admissible counterterms appropriate for massive quantum field theories on the noncommutative Minkowski space, based on a suitable notion of locality. We then define products of fields of arbitrary order, the so-called quasiplanar Wick products, by subtracting only such admissible counterterms. We derive the analogue of Wick's theorem and comment on the consequences of using quasiplanar Wick products in the perturbative expansion.
22 pages, 2 figures, v2: minor changes, v3: minor changes, reference added
- Sapienza University of Rome Italy
- Roma Tre University Italy
- University of Göttingen Germany
- Universität Hamburg Germany
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), quantum space differential geometry: noncommutative | axiomatic field theory phase space: Hilbert space perturbation theory: higher-order regularization numerical calculations, FOS: Physical sciences
High Energy Physics - Theory, High Energy Physics - Theory (hep-th), quantum space differential geometry: noncommutative | axiomatic field theory phase space: Hilbert space perturbation theory: higher-order regularization numerical calculations, FOS: Physical sciences
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