Fine Structure of the QCD String Spectrum

Abstract

Using advanced lattice methods in Quantum Chromodynamics, three distinct scales are established in the excitation spectrum of the gluon field around a static quark-antiquark pair as the color source separation R is varied. On the shortest length scale, the excitations are consistent with states created by local gluon field operators arising from a multipole operator product expansion. An intermediate crossover region below 2 fm is identified with a dramatic rearrangement of the level orderings. On the largest length scale of 2-3 fm, the spectrum agrees with that expected for string-like excitations. The energies nearly reproduce asymptotic pi/R string gaps, but exhibit a fine structure, providing important clues for developing an effective bosonic string description.

4 pages, 3 figures, RevTeX4 (final version accepted for publication)

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• Quark confinement and the bosonic string
• String effects in the 3d gauge Ising model
• The QCD String Spectrum and Conformal Field Theory

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