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arXiv · 1611.10343

UV dimensional reduction to two from group valued momenta

Michele Arzano·Francisco Nettel
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Abstract

We describe a new model of deformed relativistic kinematics based on the group manifold $U(1) \times SU(2)$ as a four-momentum space. We discuss the action of the Lorentz group on such space and 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 {\it two} energy scales $λ$ and $κ$. A relevant feature of the model is that it exhibits a running spectral dimension $d_s$ with the characteristic short distance reduction to $d_s =2$ found in most quantum gravity scenarios.

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Michele Arzano, Francisco Nettel. 2016-11-30. UV dimensional reduction to two from group valued momenta. https://doi.org/10.1016/j.physletb.2017.02.005

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