CONTRACTOR RENORMALIZATION-GROUP TECHNOLOGY AND EXACT HAMILTONIAN REAL-SPACE RENORMALIZATION-GROUP TRANSFORMATIONS

Authors
MORNINGSTAR CJ WEINSTEIN M
Citation
Cj. Morningstar et M. Weinstein, CONTRACTOR RENORMALIZATION-GROUP TECHNOLOGY AND EXACT HAMILTONIAN REAL-SPACE RENORMALIZATION-GROUP TRANSFORMATIONS, Physical review. D. Particles and fields, 54(6), 1996, pp. 4131-4151
Citations number
51
Categorie Soggetti
Physics, Particles & Fields
Journal title
Physical review. D. Particles and fields → ACNP
ISSN journal
05562821
Volume
54
Issue
6
Year of publication
1996
Pages
4131 - 4151
Database
ISI
SICI code
0556-2821(1996)54:6<4131:CRTAEH>2.0.ZU;2-J
Abstract
The contractor renormalization group method, a new approach to solving Hamiltonian lattice systems, is presented. The method. defines a syst ematic and nonperturbative means of implementing Kadanoff-Wilson real- space renormalization group transformations using cluster expansion an d contraction techniques. We illustrate the approach and demonstrate i ts effectiveness using scalar field theory, the Heisenberg antiferroma gnetic chain, and the anisotropic Ising chain. Future applications to the Hubbard and t-J models and lattice gauge theory are discussed.