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Anharmonic O(N) oscillator model in next-to-leading order of the 1/N expansion

Alan Dzhioev·J. Wambach·A. Vdovin·Z. Aouissat
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Abstract

An extended Holstein-Primakoff mapping which incorporates both single- and double boson mappings is used in the context of O(N+1) anharmonic oscillator with the global symmetry broken down to O(N) to study the next-to-leading order of the 1/N expansion. It is shown that the Goldstone theorem is obeyed to that order and that the Ward identity is satisfied.

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Alan Dzhioev, J. Wambach, A. Vdovin, Z. Aouissat. 2004-07-08. Anharmonic O(N) oscillator model in next-to-leading order of the 1/N expansion. https://arxiv.org/abs/hep-ph/0407096

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