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Quantum-Corrections to the One-Dimensional Classical Heisenberg Model.

Michael E. Harrigan

Published Jan 1, 1973• 0 citations
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arXiv:1211.5956•Open Physics•Jan 1, 2013•0 citations
Abstract The Heisenberg spin chain is considered in ϕ 4 model approximation. Quantum corrections to classical solutions of the one-dimensional ϕ 4 model within the correspondent physics are evaluated with account of rest d-1 dimensions of a d-dimensional theory. A quantization of the model is considered in terms of spacetime functional integral. The generalized zeta-function formalism is used to renormalize and evaluate the functional integral and quantum corrections to energy in a quasiclassical approximation. The results are applied to appropriate conditions of the spin chain model and its dynamics, for which elementary solutions, energy and the quantum corrections are calculated.