&zgr;‐regularization of the Jacobian of scaling transformation of an infinite dimensional integral is derived. It simplifies mathematical justification of the appearance of the Ray‐Singer determinant in the Gaussian path integral given in our previous paper “Regularized Calculus: An application of zeta regularization to infinite dimensional Geometry and Analysis, Int.J.Geo, Meth. Mod. Phys., 1(2004)”. © 2004 American Institute of Physics