Is the ground state of Yang-Mills theory Coulombic?

Details Is the ground state of Yang-Mills theory Coulombic? Is the ground state of Yang-Mills theory Coulombic?

2008-06-06

arxiv.org/abs/0806.1187v1

Phys.Rev.D78:034504,2008

Physics

High Energy Physics

High Energy Physics - Lattice

10 pages, 9 .eps figures

Scientific paper

10.1103/PhysRevD.78.034504

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.

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