Some Remarks on Kappa-deformed Boost Transformations
Nowicki Anatol, Masłowski Tomasz
Institute of Physics, University of Zielona Góra
ul. Z. Szafrana 4a, 65-516 Zielona Góra, Poland
e-mail: A.Nowicki@if.uz.zgora.pl; T.Maslowski@proton.if.uz.zgora.pl
Received:
Received: 23 March 2010; accepted: 8 July 2010; published online: 27 September 2010
DOI: 10.12921/cmst.2010.16.02.177-180
OAI: oai:lib.psnc.pl:727
Abstract:
We discuss the invariance of the action of the Lorentz algebra on the relativistic fourmomentum algebra under nonlinear transformations. In particular, we describe the global Lorentz boosts acting on four momenta in cases for classical and κ-deformed Poincaré relativistic symmetry.
Key words:
References:
[1] S. Majid, Foundations of Quantum Group Theory. Cambridge University Press, Cambridge (1995).
[2] J. Lukierski, A. Nowicki, H. Ruegg, Phys. Lett. B 293, 344 (1992).
[3] S. Majid, H. Ruegg, Phys. Lett. B 334, 348 (1994).
[4] J. Lukierski, A. Nowicki, Int. J. Mod. Phys. A 18, 7 (2003).
We discuss the invariance of the action of the Lorentz algebra on the relativistic fourmomentum algebra under nonlinear transformations. In particular, we describe the global Lorentz boosts acting on four momenta in cases for classical and κ-deformed Poincaré relativistic symmetry.
Key words:
References:
[1] S. Majid, Foundations of Quantum Group Theory. Cambridge University Press, Cambridge (1995).
[2] J. Lukierski, A. Nowicki, H. Ruegg, Phys. Lett. B 293, 344 (1992).
[3] S. Majid, H. Ruegg, Phys. Lett. B 334, 348 (1994).
[4] J. Lukierski, A. Nowicki, Int. J. Mod. Phys. A 18, 7 (2003).
