Further results on Functional Determinants of Laplacians in Simplicial Complexes

Details Further results on Functional Determinants of Laplacians in Simplicial Complexes Further results on Functional Determinants of Laplacians in Simplicial Complexes

1994-05-21

arxiv.org/abs/hep-th/9405140v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

We investigate the functional determinant of the laplacian on piece-wise flat two-dimensional surfaces, with conical singularities in the interior and/or corners on the boundary. Our results extend earlier investigations of the determinants on smooth surfaces with smooth boundaries. The differences to the smooth case are: a) different ``interaction energies'' between pairs of conical singularities than one would expect from a naive extrapolation of the results for a smooth surface; and b) ``self-energies'' of the singularities.

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