Affiliation:
1. Faculty of Science, Sinsyu University, 3-6-21 Nogami Takarazuka, 665-0022, Japan
Abstract
A method of regularization in infinite dimensional calculus, based on spectral zeta function and zeta regularization is proposed. As applications, a mathematical justification of appearance of Ray–Singer determinant in Gaussian Path integral, regularized volume form of the sphere of a Hilbert space with the determinant bundle, eigenvalue problems of regularized Laplacian, are investigated. Geometric counterparts of regularization procedure are also discussed applying arguments from noncommutative geometry.
Publisher
World Scientific Pub Co Pte Lt
Subject
Physics and Astronomy (miscellaneous)
Reference34 articles.
1. A. Asada, Contemp. Math. 242, eds. B. Booss-Bavnbek and K. Wojciechowski (Amer. Math. Soc., 1999) pp. 189–202.
Cited by
6 articles.
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