Lattice gauge magnets: Local isospin from spin

Peter Orland, Daniel Rohrlich

Research output: Contribution to journalArticlepeer-review

117 Scopus citations


We study lattice hamiltonians with continuous local SU(2) gauge invariance, for which the Hilbert space on each link is finite dimensional. As these are gauge-invariant generalizations of quantum magnets, we call them lattice gauge magnets. The generators of gauge transformations are built out of local spin operators. In the simplest version of such a theory, the gauge field components belong to a representation of the algebra SO(5). Long-wavelength excitations of this model are gapless and nonrelativistic at the tree level. In 2 + 1 dimensions, we study a parity violating model, which we argue is equivalent to the topologically massive Yang-Mills theory.

Original languageEnglish
Pages (from-to)647-672
Number of pages26
JournalNuclear Physics B
Issue number3
StatePublished - 16 Jul 1990
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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