Variational approach to Hamiltonian lattice theories

D. Horn*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)1824-1831
Number of pages8
JournalPhysical Review D
Issue number8
StatePublished - 1981


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