A new technique for computing the spectral density of sunset-type diagrams: integral transformation in configuration space

Abstract

We present a new method to investigate a class of diagrams which generalizes the sunset topology to any number of massive internal lines. Our attention is focused on the computation of the spectral density of these diagrams which is related to many-body phase space in $D$ dimensional space-time. The spectral density is determined by the inverse $K$-transform of the product of propagators in configuration space. The inverse $K$-transform reduces to the inverse Laplace transform in any odd number of space-time dimensions for which we present an explicit analytical result.

13 pages in LaTeX, one PostScript figure included in the text

References in corpus (2)

• Threshold and pseudothreshold values of the sunset diagram
• Vacuum Saturation Hypothesis and QCD Sum Rules

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