Advertisement

A Quantum Minkowski Space-Time

  • Bianca Letizia Cerchiai
Conference paper
  • 760 Downloads
Part of the Lecture Notes in Physics book series (LNP, volume 543)

Abstract

The representation theory of a q-deformed Minkowski algebra, which is as quantum space a co-module of the q-Poincaré algebra, is studied. The spectra of the coordinates are discrete: space-time acquires a lattice-like structure. The eigenvalues grow exponentially and there are accumulation points on the light-cone.

References

  1. 1.
    O. Ogievetskii, W. B. Schmidke, J. Wess, B. Zumino: q-Deformed Poincaré Algebra, Commun. Math. Phys.150, 492 (1992)ADSMathSciNetGoogle Scholar
  2. 2.
    A. Lorek, W. Weich, J. Wess: Non-commutative Euclidean and Minkowski Structures, Z.Phys. C 76, 375 (1997)MathSciNetGoogle Scholar
  3. 3.
    B. L. Cerchiai, J. Wess: q-Deformed Minkowski Space based on a q-Lorentz Algebra, Eur. Phys. J. C 5 (3), 553 (1998)ADSMathSciNetGoogle Scholar
  4. 4.
    B. L. Cerchiai: Hilbert Space Representations of a q-deformed Minkowski algebra, Ph.D. Thesis, Ludwig-Maximilians-Universität München, (1998)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Bianca Letizia Cerchiai
    • 1
    • 2
  1. 1.Ludwig-Maximilians-Universität MünchenMünchen
  2. 2.Max-Planck-Institut für PhysikMünchen

Personalised recommendations