Mean field analysis of hamiltonian SU(2) lattice gauge theory

D. Horn*, K. Karliner

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study two types of vacuum wave functions for the SU(2) lattice gauge theory in 3 + 1 dimensions. One trial function is based on a mean-plaquette ansatz which is analysed by employing a 3-dimensional Monte Carlo program for an euclidean SU(2) gauge theory. The second is based on a mean-link ansatz which is projected onto its gauge-invariant component. Its numerical analysis is more complicated and involves a chiral SU(2) problem with a heat-kernel action in 3-dimensions. The results of both trial functions lead to similar ground-state energies.

Original languageEnglish
Pages (from-to)135-147
Number of pages13
JournalNuclear Physics, Section B
Issue number1
StatePublished - 7 May 1984


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