On spectral density of Neumann matrices

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 fo...

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Bibliographic Details
Published in:arXiv.org 2002-10
Main Authors: Belov, D M, Konechny, A
Format: Article
Language:English
Subjects:
Density
Eigenvalues
Eigenvectors
Field theory
Spectra
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0210169