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- W2067449783 abstract "We present the exact solution of a scalar field theory defined with noncommuting position and momentum variables. The model describes charged particles in a uniform magnetic field and with an interaction defined by the Groenewold-Moyal star-product. Explicit results are presented for all Green's functions in arbitrary even spacetime dimensionality. Various scaling limits of the field theory are analysed non-perturbatively and the renormalizability of each limit examined. A supersymmetric extension of the field theory is also constructed in which the supersymmetry transformations are parametrized by differential operators in an infinite-dimensional noncommutative algebra." @default.
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- W2067449783 date "2004-01-09" @default.
- W2067449783 modified "2023-10-01" @default.
- W2067449783 title "Exact Solution of Quantum Field Theory on Noncommutative Phase Spaces" @default.
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- W2067449783 doi "https://doi.org/10.1088/1126-6708/2004/01/017" @default.
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