Hamiltonian lattice gauge theory: wavefunctions on large lattices
High Energy Physics - Lattice
2016-08-31 v1
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.
Keywords
Cite
@article{arxiv.hep-lat/9211025,
title = {Hamiltonian lattice gauge theory: wavefunctions on large lattices},
author = {J. B. Bronzan},
journal= {arXiv preprint arXiv:hep-lat/9211025},
year = {2016}
}
Comments
4 pages, (contribution to Lattice'92 conference); requires espcrc2.sty