Quantum Spin Formulation of the Principal Chiral Model

Details Quantum Spin Formulation of the Principal Chiral Model Quantum Spin Formulation of the Principal Chiral Model

2000-05-25

arxiv.org/abs/hep-lat/0005020v1

Nucl.Phys.Proc.Suppl. 83 (2000) 718-720

Physics

High Energy Physics

High Energy Physics - Lattice

3pages, LATTICE99

Scientific paper

We formulate the two-dimensional principal chiral model as a quantum spin model, replacing the classical fields by quantum operators acting in a Hilbert space, and introducing an additional, Euclidean time dimension. Using coherent state path integral techniques, we show that in the limit in which a large representation is chosen for the operators, the low energy excitations of the model describe a principal chiral model in three dimensions. By dimensional reduction, the two-dimensional principal chiral model of classical fields is recovered.

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