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首页> 外文期刊>Nuclear Physics, A: Journal Devoted to the Experimental Study of the Fundamental Constituents of Matter and Their Actions >Symmetry conserving 1/N expansion and extended Holstein-Primakoff mapping for anharmonic O(N+1) oscillator model
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Symmetry conserving 1/N expansion and extended Holstein-Primakoff mapping for anharmonic O(N+1) oscillator model

机译：非对称O（N + 1）振荡器模型的对称守恒1 / N扩展和扩展Holstein-Primakoff映射

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摘要

Symmetry conserving 1/N expansion method combined with the Holstein-Primakoff mapping for bosonic systems is applied to the quantum anharmonic O(N + 1) oscillator model which imitates essential features of the quantum-field linear sigma model. The Holstein-Primakoff mapping earlier extended to incorporate both single- and double-boson images is used. In the leading and next-to-leading order the existence of N-Goldstone modes and the validity of the Ward identity are proved. For matrix elements of the pion-pion interaction we show the equivalence of the results obtained via a diagrammatic technique and the extended Holstein-Primakoff mapping. (C) 2004 Elsevier B.V. All rights reserved.
机译：将对称守恒的1 / N扩展方法与Holstein-Primakoff映射相结合，用于玻色子系统，用于模仿量子场线性西格玛模型的基本特征的量子非谐O（N + 1）振荡器模型。使用了霍尔斯坦-普里马科夫（Holstein-Primakoff）映射，该映射可以扩展为合并单玻色和双玻色子图像。依次证明了N-Goldstone模式的存在和Ward身份的有效性。对于介子-介子相互作用的矩阵元素，我们显示了通过图解技术和扩展的Holstein-Primakoff映射获得的结果的等价性。 （C）2004 Elsevier B.V.保留所有权利。

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