Adiabatic decomposition of the ζ-determinant and Dirichlet to Neumann operator

JOURNAL OF GEOMETRY AND PHYSICS

卷:55

Article

Park, J ; Wojciechowski, KP

关键词: zeta-determinant;    adiabatic limit;    Dirichlet to Neumann operator;   

DOI  :  10.1016/j.geomphys.2004.12.008

来源: Elsevier

【 摘 要 】

We discuss the adiabatic decomposition formula of the zeta-determinant of a Laplace type operator on a closed manifold. We also analyze the adiabatic behavior of the zeta-determinant of a Dirichlet to Neumann operator. This analysis makes it possible to compare the adiabatic decomposition formula with the Mayer-Vietoris type formula for the zeta-determinant proved by Burghelea et al. As a byproduct of this comparison, we obtain the exact value of the local constant which appears in their formula for the case of Dirichlet boundary condition. (c) 2004 Elsevier B.V. All rights reserved.

【 授权许可】

Free