Single Boson Images Via an Extended Holstein Primakoff Mapping

Abstract

The Holstein-Primakoff mapping for pairs of bosons is extended in order to accommodate single boson mapping. The proposed extension allows a variety of applications and especially puts the formalism at finite temperature on firm grounds. The new mapping is applied to the O(N+1) anharmonic oscillator with global symmetry broken down to O(N). It is explicitly demonstrated that N-Goldstone modes appear. This result generalizes the Holstein-Primakoff mapping for interacting boson as developed in ref.[1].

9 pages, LaTeX. Physical content unchanged. Unnecessary figure removed

References in corpus (1)

• The Linear Sigma-Model in the 1/N-Expansion via Dynamical Boson Mappings and Applications to $\pi \pi$-Scattering

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