Hamiltonian lattice gauge theory: wavefunctions on large lattices
arXiv:hep-lat/9211025 · doi:10.1016/0920-5632(93)90356-B
Abstract
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.
4 pages, (contribution to Lattice'92 conference); requires espcrc2.sty