Abstract
We discuss the spin-dynamics in the spin-1/2 antiferromagnetic Heisenberg model and the related quantum nonlinear σ model on the square-lattice at zero and low temperatures. We use mainly numerical methods, including variational Monte Carlo, quantum Monte Carlo and exact numerical diagonalization techniques. We compare our results to those obtained by other techniques and to certain experimental data obtained on undoped copper-oxygen antiferromagnetic insulators. Effects of hole-doping are briefly summarized in the framework of the strong-coupling Hubbard model.
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