Hamiltonian lattice gauge theory: wavefunctions on large lattices

Details Hamiltonian lattice gauge theory: wavefunctions on large lattices Hamiltonian lattice gauge theory: wavefunctions on large lattices

1992-11-10

arxiv.org/abs/hep-lat/9211025v1

Nucl. Phys. Proc. Suppl. 30 (1993) 916

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, (contribution to Lattice'92 conference); requires espcrc2.sty

Scientific paper

10.1016/0920-5632(93)90356-B

We discuss an algorithm for the approximate solution of Schrodinger's equation for lattice gauge theory, using lattice SU(3) as an example. A basis is generated by repeatedly applying an effective Hamiltonian to a ``starting state.'' The resulting basis has a cluster decomposition and long-range correlations. One such basis has about 10^4 states on a 10X10X10 lattice. The Hamiltonian matrix on the basis is sparse, and the elements can be calculated rapidly. The lowest eigenstates of the system are readily calculable.

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