Details
| Original language | English |
|---|---|
| Pages (from-to) | 250-266 |
| Number of pages | 17 |
| Journal | Nuclear Physics B |
| Volume | 858 |
| Issue number | 2 |
| Publication status | Published - 11 May 2012 |
Abstract
We investigate the matrix-model origin of the spherical sector of the rational Calogero model and its constants of motion. We develop a diagrammatic technique which allows us to find explicit expressions of the constants of motion and calculate their Poisson brackets. In this way we obtain all functionally independent constants of motion to any given order in the momenta. Our technique is related to the valence-bond basis for singlet states.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Nuclear Physics B, Vol. 858, No. 2, 11.05.2012, p. 250-266.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The spherical sector of the Calogero model as a reduced matrix model
AU - Hakobyan, Tigran
AU - Lechtenfeld, Olaf
AU - Nersessian, Armen
N1 - Funding Information: T.H. and A.N. are grateful for hospitality at Leibniz Universität Hannover, where this study was initiated and where an essential part of the work has been completed. This work was partially supported by the Volkswagen Foundation grant I/84 496 and by the grants SCS 11-1c258 and SCS-BFBR 11AB-001 of the Armenian State Committee of Science . Copyright: Copyright 2012 Elsevier B.V., All rights reserved.
PY - 2012/5/11
Y1 - 2012/5/11
N2 - We investigate the matrix-model origin of the spherical sector of the rational Calogero model and its constants of motion. We develop a diagrammatic technique which allows us to find explicit expressions of the constants of motion and calculate their Poisson brackets. In this way we obtain all functionally independent constants of motion to any given order in the momenta. Our technique is related to the valence-bond basis for singlet states.
AB - We investigate the matrix-model origin of the spherical sector of the rational Calogero model and its constants of motion. We develop a diagrammatic technique which allows us to find explicit expressions of the constants of motion and calculate their Poisson brackets. In this way we obtain all functionally independent constants of motion to any given order in the momenta. Our technique is related to the valence-bond basis for singlet states.
UR - http://www.scopus.com/inward/record.url?scp=84856317314&partnerID=8YFLogxK
U2 - 10.1016/j.nuclphysb.2012.01.002
DO - 10.1016/j.nuclphysb.2012.01.002
M3 - Article
AN - SCOPUS:84856317314
VL - 858
SP - 250
EP - 266
JO - Nuclear Physics B
JF - Nuclear Physics B
SN - 0550-3213
IS - 2
ER -