Is the ground state of Yang-Mills theory Coulombic?
arXiv:0806.1187 · doi:10.1103/PhysRevD.78.034504
Abstract
We study trial states modelling the heavy quark-antiquark ground state in SU(2) Yang-Mills theory. A state describing the flux tube between quarks as a thin string of glue is found to be a poor description of the continuum ground state; the infinitesimal thickness of the string leads to UV artifacts which suppress the overlap with the ground state. Contrastingly, a state which surrounds the quarks with non-abelian Coulomb fields is found to have a good overlap with the ground state for all charge separations. In fact, the overlap increases as the lattice regulator is removed. This opens up the possibility that the Coulomb state is the true ground state in the continuum limit.
arXiv comment10 pages, 9 .eps figures
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- String effects and the distribution of the glue in mesons at finite temperature
- Fluctuations of the baryonic flux-tube junction from effective string theory
- Mapping chiral symmetry breaking in the excited baryon spectrum
- On the temporal Wilson loop in the Hamiltonian approach in Coulomb gauge
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- Stability, creation and annihilation of charges in gauge theories
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