Gauge Theory and Dirac Operator on Noncommutative Space II -Minkowskian   and Euclidean Cases-
  In the preceding paper [arXiv:hep-th/0604217], we construct the Dirac operator and the integral on the canonical noncommutative space. As a matter of fact, they are ones on the noncommutative torus. In the present article, we introduce the method to extend to the Minkowskian and Euclidean cases. As a concluding remark, we present a geometrical notion of our gauge theory. 
Yoshinobu Habara