New quantum Poincaré algebra and κ-deformed field theory

@article{Lukierski1992NewQP,
  title={New quantum Poincar{\'e} algebra and $\kappa$-deformed field theory},
  author={Jerzy Lukierski and Anatol Nowicki and Henri Ruegg},
  journal={Physics Letters B},
  year={1992},
  volume={293},
  pages={344-352}
}
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References

SHOWING 1-10 OF 14 REFERENCES

Quantum deformations of D=4 Poincaré and Weyl algebra from q-deformed D=4 conformal algebra

q-Deformed Poincaré algebra

Theq-differential calculus for theq-Minkowski space is developed. The algebra of theq-derivatives with theq-Lorentz generators is found giving theq-deformation of the Poincaré algebra. The reality…

The quantum Heisenberg group H(1)q

The structure of the quantum Heisenberg group is studied in the two different frameworks of the Lie algebra deformations and of the quantum matrix pseudogroups. The R‐matrix connecting the two…

The three‐dimensional Euclidean quantum group E(3)q and its R‐matrix

A contraction procedure starting from SO(4)q is used to determine the quantum analog E(3)q of the three‐dimensional Euclidean group and the structure of its representations. A detailed analysis of…

A simple derivation of the quantum Clebsch–Gordan coefficients for SU(2)q

To SU(2) q , the quantum deformation of SU(2), the van der Waerden method for calculating the Clebsch–Gordan (CG) coefficients is genaralized. The polynomial basis for irreducible representations of…

Real Forms of Complex Quantum Anti de Sitter Algebra $U_q (Sp(4,C))$ and their Contraction Schemes

Compact matrix pseudogroups

The compact matrix pseudogroup is a non-commutative compact space endowed with a group structure. The precise definition is given and a number of examples is presented. Among them we have compact…

On Field Theories with Non-Localized Action

References: [1] S. Tomonaga, Prog. Theor. Phys. 1 pp 27– (1946) · Zbl 0038.13101 · doi:10.1143/PTP.1.27 [2] S. Tomonaga, Prog. Theor. Phys. 2 pp 101– (1947) · Zbl 0038.13102 · doi:10.1143/ptp/2.3.101…

An Introduction to Field Quantization

An introduction to field quantization , An introduction to field quantization , مرکز فناوری اطلاعات و اطلاع رسانی کشاورزی

Contractions of quantum groups