Small Mass Expansion of Functional Determinants on the Generalized Cone

Details Small Mass Expansion of Functional Determinants on the Generalized Cone Small Mass Expansion of Functional Determinants on the Generalized Cone

2009-12-18

arxiv.org/abs/0912.3840v1

J. Phys. A: Math. Theor. 43 365204 (2010)

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 23 pages

Scientific paper

10.1088/1751-8113/43/36/365204

In this paper we compute the small mass expansion for the functional determinant of a scalar Laplacian defined on the bounded, generalized cone. In the framework of zeta function regularization, we obtain an expression for the functional determinant valid in any dimension for both Dirichlet and Robin boundary conditions in terms of the spectral zeta function of the base manifold. Moreover, as a particular case, we specify the base to be a $d$-dimensional sphere and present explicit results for $d=2,3,4,5$.

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