Noncommutative and Non-Anticommutative Quantum Field Theory

Abstract

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.

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