QCD Sum Rules for Skeptics

Abstract

A new Monte-Carlo based uncertainty analysis is introduced to quantitatively determine the predictive ability of QCD sum rules. A comprehensive analysis of ground state rho-meson and nucleon spectral properties is performed. Many of the findings contradict the conventional wisdom of both practitioners and skeptics alike. Associations between the phenomenological fit parameters are particularly interesting as they reveal how the sum rules resolve the spectral properties. The use of derivative sum rules for the determination of rho-meson spectral properties is shown to be a very unfavorable approach. Most prior nucleon sum rule analyses are based on a sum rule which is found to be invalid; the results are suspect, and should be reevaluated. The ``Ioffe formula'', argued by many to qualitatively encapsulate a description of the nucleon mass in terms of the chiral symmetry breaking order parameter is misleading at best. QCD Sum Rules are found to be self-consistent without contributions from direct instantons. This implies that instanton effects are adequately accounted for in the nonperturbative vacuum condensates. This in-depth examination of QCD sum rule self consistency paints a favorable picture for further quantitative refinements of the QCD sum rule approach.

70 page RevTeX Manuscript with 40 embedded figures. Revised manuscript accepted for publication. Recent estimates of QCD vacuum condensates are used in the analysis. This and related papers may also be obtained from http://www.phys.washington.edu/~derek/Publications.html

References in corpus (8)

• The QCD vacuum
• Valid QCD Sum Rules for Vector Mesons in Nuclear Matter
• New QCD Sum Rules for Nucleons in Nuclear Matter
• Background-Field Formalism in Quantum Systems
• Rho-Omega Mixing via QCD Sum Rules with Finite Mesonic Widths
• Constraints on QCD Sum-rules from the Hölder Inequalities
• New QCD Sum Rules for Nucleon Axial Vector Coupling Constants
• New QCD Sum Rules for Nucleon Axial Vector Coupling Constants

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