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Plaquette expansion proof and interpretation

Technical Report:

Abstract

The plaquette expansion, a general non-perturbative method for calculating the properties of lattice Hamiltonian systems, is established up to the first two orders for an arbitrary system. This method employs an expansion of the Lanczos coefficients, the tridiagonal Hamiltonian matrix elements or equivalently the continued fraction coefficients of the resolvent, in a descending series in the size of the system. The coefficients of this series are formed from the low order cumulants or connected Hamiltonian moments. The lowest order approximation in the plaquette expansion corresponds to a Gaussian model which is a consequence of the control limit theorem. 7 refs.
Publication Date:
Sep 02, 1993
Product Type:
Technical Report
Report Number:
UM-P-93/87
Reference Number:
SCA: 662110; 662230; PA: AIX-26:017895; EDB-95:032226; SN: 95001330005
Resource Relation:
Other Information: PBD: 2 Sep 1993
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; LATTICE FIELD THEORY; HAMILTONIANS; SERIES EXPANSION; ENERGY DENSITY; HANKEL TRANSFORM; MATHEMATICAL OPERATORS; MATRICES; NUMERICAL SOLUTION; SPIN; 662110; 662230; THEORY OF FIELDS AND STRINGS; QUANTUM CHROMODYNAMICS
Sponsoring Organizations:
Australian Research Council, Canberra, ACT (Australia)
OSTI ID:
10113727
Research Organizations:
Melbourne Univ., Parkville, VIC (Australia). School of Physics
Country of Origin:
Australia
Language:
English
Other Identifying Numbers:
Other: ON: DE95616282; TRN: AU9414204017895
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
INIS
Size:
19 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Witte, N S, and Hollenberg, L C.L. Plaquette expansion proof and interpretation. Australia: N. p., 1993. Web.
Witte, N S, & Hollenberg, L C.L. Plaquette expansion proof and interpretation. Australia.
Witte, N S, and Hollenberg, L C.L. 1993. "Plaquette expansion proof and interpretation." Australia.
@misc{etde_10113727,
title = {Plaquette expansion proof and interpretation}
author = {Witte, N S, and Hollenberg, L C.L.}
abstractNote = {The plaquette expansion, a general non-perturbative method for calculating the properties of lattice Hamiltonian systems, is established up to the first two orders for an arbitrary system. This method employs an expansion of the Lanczos coefficients, the tridiagonal Hamiltonian matrix elements or equivalently the continued fraction coefficients of the resolvent, in a descending series in the size of the system. The coefficients of this series are formed from the low order cumulants or connected Hamiltonian moments. The lowest order approximation in the plaquette expansion corresponds to a Gaussian model which is a consequence of the control limit theorem. 7 refs.}
place = {Australia}
year = {1993}
month = {Sep}
}