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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]

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: 05 Department of Physics > Institute of Nuclear Physics
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > D: Theoretische Kernstrukturphysik > D2: Kernstrukturuntersuchungen mit Relevanz für das experimentelle Programm
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > D: Theoretische Kernstrukturphysik
05 Department of Physics
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC)
Zentrale Einrichtungen
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
DFG-Collaborative Research Centres (incl. Transregio)
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.English
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