Discrete Symmetries and Transformations of the Hubbard Model

Physics – Condensed Matter – Strongly Correlated Electrons

Scientific paper

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4 pages (Latex), 1 figure (Postscript)

Scientific paper

10.1103/PhysRevB.58.1218

We show that, in addition to SO(4), the Hubbard model at half filling on a bipartite lattice has a group of discrete symmetries and transformations. A unique Hubbard-Stratonovich decomposition of the interaction term, incorporating both spin and pseudospin variables on an equal footing, is found in which these symmetries are manifestly present. The consequences of this at the mean field and one loop renormalisation group levels are discussed.

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