Variational approach to Hamiltonian lattice theories

Journal Article · Wed Apr 15 00:00:00 EST 1981 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.23.1824· OSTI ID:6534404

Horn, D

A variational calculation of the vacuum energy of a Hamiltonian lattice theory is formulated in terms of a finite box Hamiltonian for a cluster of points. The box Hamiltonian contains surface terms which are proportional to order parameters of the system. It is tested on the Ising model and applied to Z(N) spin models in 1+1 and 2+1 dimensions. Z(3) is found to have an exceptional phase-transition structure. The application of the method to local gauge theories is discussed.

• Research Organization: Department of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel
• OSTI ID: 6534404
• Journal Information: Phys. Rev., D; (United States), Vol. 23:8
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
HAMILTONIANS
VACUUM STATES
GAUGE INVARIANCE
HARTREE-FOCK METHOD
ISING MODEL
SPIN
VARIATIONAL METHODS
ANGULAR MOMENTUM
CRYSTAL MODELS
FIELD THEORIES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PARTICLE PROPERTIES
QUANTUM FIELD THEORY
QUANTUM OPERATORS
645400* - High Energy Physics- Field Theory