CORE Technology and Exact Hamiltonian Real-Space Renormalization Group Transformations

Details CORE Technology and Exact Hamiltonian Real-Space Renormalization Group Transformations CORE Technology and Exact Hamiltonian Real-Space Renormalization Group Transformations

1996-03-21

arxiv.org/abs/hep-lat/9603016v1

Phys.Rev. D54 (1996) 4131-4151

Physics

High Energy Physics

High Energy Physics - Lattice

65 pages, 9 Postscript figures, uses epsf.sty

Scientific paper

10.1103/PhysRevD.54.4131

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.

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