Noncommutative and Non-Anticommutative Quantum Field Theory

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages LaTex. No figures. Revised text. Conclusions remain the same. Misprint in Eq.(31) corrected

Scientific paper

10.1016/S0370-2693(01)00409-9

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.

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