On spectral density of Neumann matrices

Dmitri Belov, Anatoly Konechny

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


In [L. Rastelli, et al., 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 logL2π. In this Letter 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.
Original languageEnglish
Pages (from-to)111-118
Number of pages8
JournalPhysics Letters B
Issue number1-2
Publication statusPublished - 10 Apr 2003


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