5-Dimensional SO(1,4)-invariant action as an origin to the Magueijo-Smolin Doubly Special Relativity proposal

Abstract

In this paper we discuss how the Magueijo-Smolin Doubly Special Relativity proposal may be obtained from a singular Lagrangian action. The deformed energy-momentum dispersion relation rises as a particular gauge, whose covariance imposes the non-linear Lorentz group action. Moreover, the additional invariant scale is present from the beginning as a coupling constant to a gauge auxiliary variable. The geometrical meaning of the gauge fixing procedure and its connection to the free relativistic particle are also described.

Keywords

• Doubly Special Relativity
• Constrained systems
• Gauge fixing