Symmetry conserving 1/N expansion and extended Holstein-Primakoff mapping for anharmonic O(N+1) oscillator model

Dzhioev, A. and Wambach, J. and Vdovin, A. and Aouissat, Z. (2005):
Symmetry conserving 1/N expansion and extended Holstein-Primakoff mapping for anharmonic O(N+1) oscillator model.
In: Nuclear Physics A, 748 (3-4), p. 551. ISSN 03759474,
[Article]

Official URL: http://dx.doi.org/10.1016/j.nuclphysa.2004.11.016

Item Type:

Article

Erschienen:

2005

Creators:

Dzhioev, A. and Wambach, J. and Vdovin, A. and Aouissat, Z.

Title:

Symmetry conserving 1/N expansion and extended Holstein-Primakoff mapping for anharmonic O(N+1) oscillator model

Language:

English

Journal or Publication Title:

Nuclear Physics A

Journal volume:

748

Number:

3-4

Divisions:

Date Deposited:

20 Jun 2011 07:11

Official URL:

http://dx.doi.org/10.1016/j.nuclphysa.2004.11.016

Identification Number:

doi:10.1016/j.nuclphysa.2004.11.016

Alternative Abstract:

Alternative abstract

Language

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.

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Symmetry conserving 1/N expansion and extended Holstein-Primakoff mapping for anharmonic O(N+1) oscillator model

Dzhioev, A. and Wambach, J. and Vdovin, A. and Aouissat, Z. (2005): Symmetry conserving 1/N expansion and extended Holstein-Primakoff mapping for anharmonic O(N+1) oscillator model.In: Nuclear Physics A, 748 (3-4), p. 551. ISSN 03759474, [Article]

Dzhioev, A. and Wambach, J. and Vdovin, A. and Aouissat, Z. (2005):
Symmetry conserving 1/N expansion and extended Holstein-Primakoff mapping for anharmonic O(N+1) oscillator model.
In: Nuclear Physics A, 748 (3-4), p. 551. ISSN 03759474,
[Article]