Mean field analysis of hamiltonian SU(2) lattice gauge theory
1984; Elsevier BV; Volume: 235; Issue: 1 Linguagem: Inglês
10.1016/0550-3213(84)90153-6
ISSN1873-1562
Autores Tópico(s)Physics of Superconductivity and Magnetism
ResumoWe 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.
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