Excitations of the static quark-antiquark system in several gauge theories

Abstract

The spectrum of gluons in the presence of a static quark-antiquark pair is studied using Monte Carlo simulations on anisotropic space-time lattices. For very small quark-antiquark separations R, the level orderings and approximate degeneracies disagree with the expectations from an effective string theory. As the quark-antiquark separation R increases, a dramatic rearrangement of the energies occurs, and above 2 fm, all of the levels studied show behavior consistent with an effective string description. The energy spacings are nearly pi/R, but a tantalizing fine structure remains. In addition to 4-dimensional SU(3) gauge theory, results from 3-dimensional SU(2) and compact U(1) gauge theories are also presented.

12 pages, 4 figures, talk presented at the International Conference on Color Confinement and Hadrons in Quantum Chromodynamics (Confinement 2003), RIKEN, July 21-24, 2003

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• Probing boundary-corrections to Nambu-Goto open string energy levels in 3d SU(2) gauge theory
• A numerical study of a confined $Q\bar{Q}$ system in compact U(1) lattice gauge theory in 4D
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• Hybrid static potentials in SU(2) lattice gauge theory at short quark-antiquark separations
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