61 research outputs found
Observers and their notion of spacetime beyond special relativity
It is plausible that quantum gravity effects may lead us to a description of
Nature beyond the framework of special relativity. In this case, either the
relativity principle is broken or it is maintained. These two scenarios (a
violation or a deformation of special relativity) are very different, both
conceptually and phenomenologically. We discuss some of their implications on
the description of events for different observers and the notion of spacetime.Comment: 10 page
Beyond Special Relativity at second order
The study of generic, non-linear, deformations of Special Relativity
parametrized by a high-energy scale , which was carried out at first order
in in Phys.Rev. D86, 084032 (2012), is extended to second order. This can
be done systematically through a ('generalized') change of variables from
momentum variables that transform linearly. We discuss the different
perspectives on the meaning of the change of variables, obtain the coefficients
of modified composition laws and Lorentz transformations at second order, and
work out how -Poincar\'e, the most commonly used example in the
literature, is reproduced as a particular case of the generic framework exposed
here.Comment: 19 page
Spacetime from locality of interactions in deformations of special relativity: the example of -Poincar\'e Hopf algebra
A new proposal for the notion of spacetime in a relativistic generalization
of special relativity based on a modification of the composition law of momenta
is presented. Locality of interactions is the principle which defines the
spacetime structure for a system of particles. The formulation based on
-Poincar\'e Hopf algebra is shown to be contained in this framework as
a particular example.Comment: 14 page
Twin Peaks: A possible signal in the production of resonances beyond special relativity
It is usually expected that quantum gravity corrections will modify somehow
the symmetries of special relativity. In this paper we point out that the
possibility of very low-energy (with respect to the Planck energy)
modifications to special relativity in the framework of a deformed relativistic
theory is not ruled out, and that, depending on the value of that scale, such a
possibility could be tested in accelerator physics. In particular, we take a
simple example of a relativistic kinematics beyond special relativity from the
literature, and obtain a remarkable effect: two correlated peaks ("twin peaks")
associated to a single resonance. We analyze this phenomenology in detail, use
LEP data to put constraints of the order of TeV on the scale of corrections to
special relativity, and note that such an effect might be observable in a
future very high-energy proton collider.Comment: 17 pages, accepted for publication in Symmetr
Non-universal relativistic kinematics
We present a systematic derivation of the constraints that the relativity
principle imposes between coefficients of a deformed (but rotational invariant)
momentum composition law, dispersion relation, and momentum transformation
laws, at first order in a power expansion of an ultraviolet energy scale. This
work generalizes previous results to the case of particle-dependent
relativistic kinematics, which can have interesting phenomenological
applications that we explore in the second part of the manuscript.Comment: 13 pages, no figure
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