Gauge theory of two-dimensional spin-12 Heisenberg antiferromagnet

A. Holz

Physica A: Statistical Mechanics and its Applications, 1991, vol. 170, issue 3, 511-542

Abstract: A gauge theory of the spin-12 Heisenberg antiferromagnet (HA) on a two-dimensional square lattice is developed, which is based on the diagonal GD of the group product SO(3)×SU(2). For classical gauge fields GD is homeomorphic to SO(3). The structure of the theory is such that the quantum spin-12 field propagates on the background gauge field. For special gauges the excitations of the spin-field are computed and compared to the excitations of the O(3) σ model for the same gauge. The significance of negative excitational modes with respect to a semiclassical actionГsc of the spin-12 HA is discussed. Some properties ofГsc represented as a chiral SO(3) model in a continuum representation are worked out.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:170:y:1991:i:3:p:511-542

DOI: 10.1016/0378-4371(91)90005-W

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