Abstract
We investigate the duality between the SU(2) lattice gauge model and the bosonic t−J model. We construct the relations between the gauge field operators and particle operators, and map the low-energy regime of the SU(2) lattice gauge model to a U(1) bosonic t−J model coupled with a U(1) gauge field. The mapped model can be interpreted as a bosonic t−J model with particle-hole symmetry, or a mean-field form of the bosonic t−J model with the coexistence of a two-particle pairing and four particle-pairing. The duality between the lattice gauge model and the bosonic t−J model provides a direct connection between gauge theory and strongly correlated systems.
Published Version
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