Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-06-16
Class.Quant.Grav. 21 (2004) 3095-3110
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 19 pages
Scientific paper
10.1088/0264-9381/21/13/002
We present a simple algebraic argument for the conclusion that the low energy limit of a quantum theory of gravity must be a theory invariant, not under the Poincare group, but under a deformation of it parameterized by a dimensional parameter proportional to the Planck mass. Such deformations, called kappa-Poincare algebras, imply modified energy-momentum relations of a type that may be observable in near future experiments. Our argument applies in both 2+1 and 3+1 dimensions and assumes only 1) that the low energy limit of a quantum theory of gravity must involve also a limit in which the cosmological constant is taken very small with respect to the Planck scale and 2) that in 3+1 dimensions the physical energy and momenta of physical elementary particles is related to symmetries of the full quantum gravity theory by appropriate renormalization depending on Lambda l^2_{Planck}. The argument makes use of the fact that the cosmological constant results in the symmetry algebra of quantum gravity being quantum deformed, as a consequence when the limit \Lambda l^2_{Planck} -> 0 is taken one finds a deformed Poincare invariance. We are also able to isolate what information must be provided by the quantum theory in order to determine which presentation of the kappa-Poincare algebra is relevant for the physical symmetry generators and, hence, the exact form of the modified energy-momentum relations. These arguments imply that Lorentz invariance is modified as in proposals for doubly special relativity, rather than broken, in theories of quantum gravity, so long as those theories behave smoothly in the limit the cosmological constant is taken to be small.
Amelino-Camelia Giovanni
Smolin Lee
Starodubtsev Artem
No associations
LandOfFree
Quantum symmetry, the cosmological constant and Planck scale phenomenology does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Quantum symmetry, the cosmological constant and Planck scale phenomenology, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum symmetry, the cosmological constant and Planck scale phenomenology will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-674045