On spectral density of Neumann matrices

Abstract

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)/(2π). 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.

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

References in corpus (3)

• Diagonal Representation of Open String Star and Moyal Product
• Virasoro operators in the continuous basis of string field theory
• On Continuous Moyal Product Structure in String Field Theory

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• Superstar in Noncommutative Superspace via Covariant Quantization of the Superparticle
• Witten's Ghost Vertex Made Simple (bc and bosonized ghosts)
• String Field Theory Projectors for Fermions of Integral Weight
• Normalization anomalies in level truncation calculations
• The Perturbative Spectrum of the Dressed Sliver
• Improved Off-Shell Scattering Amplitudes in String Field Theory and New Computational Methods
• Descent Relations and Oscillator Level Truncation Method
• Descent Relations in Cubic Superstring Field Theory