Quantum corrections to ?
4 model solutions and applications to Heisenberg chain dynamics |
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Authors: | Grzegorz Kwiatkowski Sergey Leble |
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Institution: | 1. Gdańsk University of Technology, ul. G. Narutowicza 11/12, 80-952, Gdańsk, Poland
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Abstract: | The Heisenberg spin chain is considered in ? 4 model approximation. Quantum corrections to classical solutions of the one-dimensional ? 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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