CORE Technology and Exact Hamiltonian Real-Space Renormalization Group Transformations
High Energy Physics - Lattice
2016-08-24 v1 Condensed Matter
Abstract
The COntractor REnormalization group (CORE) method, a new approach to solving Hamiltonian lattice systems, is presented. The method defines a systematic and nonperturbative means of implementing Kadanoff-Wilson real-space renormalization group transformations using cluster expansion and contraction techniques. We illustrate the approach and demonstrate its effectiveness using scalar field theory, the Heisenberg antiferromagnetic chain, and the anisotropic Ising chain. Future applications to the Hubbard and t-J models and lattice gauge theory are discussed.
Cite
@article{arxiv.hep-lat/9603016,
title = {CORE Technology and Exact Hamiltonian Real-Space Renormalization Group Transformations},
author = {Colin Morningstar and Marvin Weinstein},
journal= {arXiv preprint arXiv:hep-lat/9603016},
year = {2016}
}
Comments
65 pages, 9 Postscript figures, uses epsf.sty