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

2004/07/08 by Alan A. Dzhioev, Alan Dzhioev, J. Wambach +7
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Nonlinear Photonic Systems #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/0407096

24 pages, 3 figures

arxiv created 2004/07/08 · openalex publication_date 2004/07/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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