Contractor renormalization group method: A new computational technique for lattice systems

Journal Article · Mon Oct 03 04:00:00 EDT 1994 · Physical Review Letters; (United States)

DOI:https://doi.org/10.1103/PhysRevLett.73.1873· OSTI ID:7007045

Morningstar, C J ^[1]; Weinstein, M ^[2]

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1. Department of Physics Astronomy, University of Edinburgh, Edinburgh EH9 3JZ (United Kingdom)
2. Stanford Linear Accelerator Center, Stanford University, Stanford, California 94309 (United States)

The contractor renormalization group (CORE) method, a new approach to solving Hamiltonian lattice systems, is introduced. The method combines contraction and variational techniques with the real-space renormalization group approach. It applies to lattice systems of infinite extent and is ideal for studying phase structure and critical phenomena. The CORE approximation is systematically improvable and can treat systems with dynamical fermions. The method is tested using the (1+1)-dimensional Ising model.

• DOE Contract Number: AC03-76SF00515
• OSTI ID: 7007045
• Journal Information: Physical Review Letters; (United States), Journal Name: Physical Review Letters; (United States) Vol. 73:14; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

661300* -- Other Aspects of Physical Science-- (1992-)
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CALCULATION METHODS
CONTRACTORS
CRYSTAL MODELS
FERMIONS
FIELD THEORIES
HAMILTONIANS
ISING MODEL
LATTICE FIELD THEORY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
TWO-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS