Analytic variational method for Hamiltonian lattice gauge theory in 3 + 1 dimensions
Huang, Ming C.
Katoot, Mohammad W.
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We present an analytic d in 3 + 1 dimensions for Hamiltonian lattice gauge theory. This method is based on Batrouni's mean-plaquette method and space integration. The Abelianized Bianchi identities are used and a detailed study of the number of identities that are needed and the validity of this approximation is given. The we use is the product of single-plaquette wave functions. The guage group we consider here is SU(2), but the method is valid for any gauge theory. We apply this method to calculate the 0++ glueball mass, and, in addition, the results of the string tension (scaling is observed) and its roughening transition are presented. © 1990 The American Physical Society.