Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5495468 | Physics Letters B | 2017 | 6 Pages |
Abstract
We describe a new model of deformed relativistic kinematics based on the group manifold U(1)ÃSU(2) as a four-momentum space. We discuss the action of the Lorentz group on such space and illustrate the deformed composition law for the group-valued momenta. Due to the geometric structure of the group, the deformed kinematics is governed by two energy scales λ and κ. A relevant feature of the model is that it exhibits a running spectral dimension ds with the characteristic short distance reduction to ds=2 found in most quantum gravity scenarios.
Related Topics
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Authors
Michele Arzano, Francisco Nettel,