# Dirac operator spectral density and low energy sum rules

Source: [Dirac operator spectral density and low energy sum rules](<https://www.sota2.com/research/paper/68fa24d82c2a3760193a9c01>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T09:35:15.568Z

Authors: K.Zyablyuk

Published: 1999-11-10T11:57:26.000Z

## Abstract

The spectral density of euclidean Dirac operator is investigated in partially quenched QCD with arbitrary quark masses. A representation of scalar and pseudoscalar correlators in terms of the spectral density is discussed. The spectral density, obtained from the partially quenched chiral perturbation theory is shown to be compatible with low energy sum rules, obtained earlier.

## Recorded benchmark results

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-ph/9911300>)

[PDF](<https://arxiv.org/pdf/hep-ph/9911300.pdf>)