Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-05-13
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.
Karabali Dimitra
Kim Chanju
Nair V. P.
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