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  1. 1 2013

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  1. 1 Kwiatkowski G.

  2. 1 Leble S.

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

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Kwiatkowski G., Leble S.
Open Physics
|
2013
|
vol. 11
|
issue 7
887-893
EN
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.
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