### Abstract

Quantum analogues of the limiting symmetries U(1) and O(2) of the U(2) algebra are studied. In particular, the authors have investigated the question whether the q-deformation parameter in the algebra of the SU(2)_{q} group can be looked upon as a dynamical symmetry breaking parameter taking one from one limiting case to another. They find that in the limiting case of U(2) contains/implies U(1), partially the real and imaginary q-deformations and more completely the complex q-deformations can take one not only from U(1) towards O(2) but also give intermediate results. The role of complex quantum deformations is analysed for the first time. Also, the possible consequences of this work for nuclei and molecules are discussed.

Original language | English |
---|---|

Article number | 003 |

Journal | Journal of Physics G: Nuclear and Particle Physics |

Volume | 18 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1992 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy(all)

### Cite this

_{q}.

*Journal of Physics G: Nuclear and Particle Physics*,

*18*(3), [003]. https://doi.org/10.1088/0954-3899/18/3/003

**Dynamical symmetry breaking in SU(2) model and the quantum group SU(2) _{q}.** / Gupta, R. K.; Cseh, J.; Ludu, A.; Greiner, W.; Scheid, W.

Research output: Contribution to journal › Article

_{q}',

*Journal of Physics G: Nuclear and Particle Physics*, vol. 18, no. 3, 003. https://doi.org/10.1088/0954-3899/18/3/003

_{q}. Journal of Physics G: Nuclear and Particle Physics. 1992;18(3). 003. https://doi.org/10.1088/0954-3899/18/3/003

}

TY - JOUR

T1 - Dynamical symmetry breaking in SU(2) model and the quantum group SU(2) q

AU - Gupta, R. K.

AU - Cseh, J.

AU - Ludu, A.

AU - Greiner, W.

AU - Scheid, W.

PY - 1992

Y1 - 1992

N2 - Quantum analogues of the limiting symmetries U(1) and O(2) of the U(2) algebra are studied. In particular, the authors have investigated the question whether the q-deformation parameter in the algebra of the SU(2)q group can be looked upon as a dynamical symmetry breaking parameter taking one from one limiting case to another. They find that in the limiting case of U(2) contains/implies U(1), partially the real and imaginary q-deformations and more completely the complex q-deformations can take one not only from U(1) towards O(2) but also give intermediate results. The role of complex quantum deformations is analysed for the first time. Also, the possible consequences of this work for nuclei and molecules are discussed.

AB - Quantum analogues of the limiting symmetries U(1) and O(2) of the U(2) algebra are studied. In particular, the authors have investigated the question whether the q-deformation parameter in the algebra of the SU(2)q group can be looked upon as a dynamical symmetry breaking parameter taking one from one limiting case to another. They find that in the limiting case of U(2) contains/implies U(1), partially the real and imaginary q-deformations and more completely the complex q-deformations can take one not only from U(1) towards O(2) but also give intermediate results. The role of complex quantum deformations is analysed for the first time. Also, the possible consequences of this work for nuclei and molecules are discussed.

UR - http://www.scopus.com/inward/record.url?scp=0040614756&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0040614756&partnerID=8YFLogxK

U2 - 10.1088/0954-3899/18/3/003

DO - 10.1088/0954-3899/18/3/003

M3 - Article

VL - 18

JO - Journal of Physics G: Nuclear and Particle Physics

JF - Journal of Physics G: Nuclear and Particle Physics

SN - 0954-3899

IS - 3

M1 - 003

ER -