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The Heisenberg spin chain is considered in ϕ4 model approximation. Quantum corrections to classical solutions of the one-dimensional ϕ4 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.

Quantum corrections to ϕ 4 model solutions and applications to Heisenberg chain dynamics