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arXiv:hep-lat/0207019·v1·High Energy Physics — Lattice

An Analytic Variational Study of the Mass Spectrum in 2+1 Dimensional SU(3) Hamiltonian Lattice Gauge Theory

Jesse Carlsson🇦🇺 · John A.L. McIntosh🇦🇺 · Bruce H.J. McKellar🇦🇺 · Lloyd C.L. Hollenberg🇦🇺

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Abstract

We calculate the masses of the lowest lying eigenstates of improved SU(2) and SU(3) lattice gauge theory in 2+1 dimensions using an analytic variational approach. The ground state is approximated by a one plaquette trial state and mass gaps are calculated in the symmetric and antisymmetric sectors by minimising over a suitable basis of rectangular states.

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