Anharmonic O(N) oscillator model in next-to-leading order of the 1/N expansion
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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.
24 pages, 3 figures
24 pages, 3 figures