Abstract

Some years ago, in D’Hoker and Phong (1989) studied the functional determinants of Laplacian on Mandelstam diagrams. They considered some renormalizations of the functional determinants of Laplacian on Mandelstam diagrams and explored their applications in String Theory. Recently, on quite a different subject, in Qing (1997) studied the renormalized energy for Ginzburg-Landau vortices on closed surfaces. In this paper we shall demonstrate how those two different renormalized functionals are related to each other.

Authors