On spectral density of Neumann matrices

Details On spectral density of Neumann matrices On spectral density of Neumann matrices

2002-10-17

arxiv.org/abs/hep-th/0210169v2

Phys.Lett. B558 (2003) 111-118

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, 2 figures, LaTeX 2e; typos corrections

Scientific paper

10.1016/S0370-2693(03)00242-9

In hep-th/0111281 the complete set of eigenvectors and eigenvalues of Neumann matrices was found. It was shown also that the spectral density contains a divergent constant piece that being regulated by truncation at level L equals (log L)/(2\pi). In this paper we find an exact analytic expression for the finite part of the spectral density. This function allows one to calculate finite parts of various determinants arising in string field theory computations. We put our result to some consistency checks.

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