Where is the string limit in QCD?

Abstract

The energies of glue in the presence of a static quark-antiquark pair are calculated for separations r ranging from 0.1 fm to 4 fm and for various quark-antiquark orientations on the lattice. Our simulations use an improved gauge-field action on anisotropic space-time lattices. Discretization errors and finite volume effects are studied. We find that the spectrum does not exhibit the expected onset of the universal pi/r Goldstone excitations of the effective QCD string, even for r as large as 4 fm. Our results cast serious doubts on the validity of treating glue in terms of a fluctuating string for r below 2 fm. Retardation effects in the Upsilon system are also studied by comparing level splittings from the Born-Oppenheimer approximation with those directly obtained in simulations.

LATTICE98(confine), 6 pages, LaTeX (3 figures), uses espcrc2.sty. Talk and poster given at the XVI International Symposium on Lattice Field Theory, Boulder, CO, USA, 13-18 July 1998

References in corpus (2)

• Efficient glueball simulations on anisotropic lattices
• Gluon excitations of the static quark potential and the hybrid quarkonium spectrum

Cited by in corpus (23)

• QCD forces and heavy quark bound states
• Quark confinement and the bosonic string
• Fine Structure of the QCD String Spectrum
• Heavy Quark Potentials in Quenched QCD at High Temperature
• String excitation energies in SU(N) gauge theories beyond the free-string approximation
• Casimir scaling as a test of QCD vacuum
• Heavy Quark Potentials and Quarkonia Binding
• The string spectrum from large Wilson loops
• Effective string description of confining flux tubes
• Hunting the Vector Hybrid
• Odderon in Gauge/String Duality
• Quarkonium at Finite Temperature
• Spectrum of the open QCD flux tube and its effective string description I: 3d static potential in SU(N=2,3)
• Hybrid adiabatic potentials in the QCD string model
• Static quark anti-quark pair in SU(2) gauge theory
• The confining string beyond the free-string approximation in the gauge dual of percolation
• Dynamics of confined gluons
• Revisiting the flux tube spectrum of 3d SU(2) lattice gauge theory
• A Heavy Quark-Antiquark Pair in Hot QCD
• The QCD String Spectrum and Conformal Field Theory
• Classically Perfect Gauge Actions on Anisotropic Lattices
• Adiabatic potentials and spectra of heavy hybrid mesons
• Dynamical implications of gluonic excitations in meson-meson systems