Contractor renormalization group technology and exact Hamiltonian real-space renormalization group transformations
- Department of Physics, University of California at San Diego, La Jolla, California 92093-0319 (United States)
- Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)
The contractor renormalization group 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 {ital t}-{ital J} models and lattice gauge theory are discussed. {copyright} {ital 1996 The American Physical Society.}
- Research Organization:
- Stanford Linear Accelerator Center
- DOE Contract Number:
- AC03-76SF00515; FG03-90ER40546
- OSTI ID:
- 383532
- Journal Information:
- Physical Review, D, Journal Name: Physical Review, D Journal Issue: 6 Vol. 54; ISSN PRVDAQ; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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