Noncommutative and non-anticommutative quantum field theory. (English) Zbl 0977.81157
Summary: A noncommutative and non-anticommutative quantum field theory is formulated in a superspace, in which the superspace coordinates satisfy noncommutative and non-anticommutative relations. A perturbative scalar field theory is investigated in which only the non-anticommutative algebraic structure is kept, and one loop diagrams are calculated and found to be finite due to the damping caused by a Gaussian factor in the propagator.
MSC:
| 81T75 | Noncommutative geometry methods in quantum field theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
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