Planar Yang-Mills theory: Hamiltonian, regulators and mass gap

Details Planar Yang-Mills theory: Hamiltonian, regulators and mass gap Planar Yang-Mills theory: Hamiltonian, regulators and mass gap

1997-05-13

arxiv.org/abs/hep-th/9705087v2

Nucl.Phys.B524:661-694,1998

Physics

High Energy Physics

High Energy Physics - Theory

41 pages, Plain TeX, discussion added, typos corrected

Scientific paper

10.1016/S0550-3213(98)00309-5

We carry out the Hamiltonian analysis of non-Abelian gauge theories in (2+1) dimensions in a gauge-invariant matrix parametrization of the fields. A detailed discussion of regularization issues and the construction of the renormalized Laplace operator on the configuration space, which is proportional to the kinetic energy, are given. The origin of the mass gap is analyzed and the lowest eigenstates of the kinetic energy are explicitly obtained; these have zero charge and exhibit a mass gap . The nature of the corrections due to the potential energy, the possibility of an improved perturbation theory and a Schrodinger-like equation for the states are also discussed.

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