The most studied doubly special-relativity scenarios, theories with both the speed-of-light scale and a length/inverse-momentum scale as nontrivial relativistic invariants, have concerned the possibility of relativistically enforcing some nonlinear laws on momentum space. For the recently proposed "relative-locality framework" a central role is played by nonlinear laws on momentum space, with the guiding principle that they should provide a characterization of the geometry of momentum space. Building on previous doubly special-relativity results, here I identify a requirement necessary for "DSR compatibility"; i.e. when the requirement is not satisfied a preferred-frame formulation of theories on that momentum space inevitably emerges. I find that, within a natural parametrization of momentum-space geometry, the requirement takes the form of an elementary algorithm. By working out a few examples I provide evidence that my requirement might be not only necessary but also sufficient: when the requirement is satisfied one does manage to produce a relativistic formulation. The examples I use to illustrate the applicability of my criterion also have some intrinsic interest, including two particularly noteworthy cases of κ-Poincaré-inspired momentum spaces. © 2012 American Physical Society.
Fate of Lorentz symmetry in relative-locality momentum spaces / AMELINO-CAMELIA, Giovanni. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - STAMPA. - 85:8(2012), pp. 084034/1-084034/16. [10.1103/physrevd.85.084034]
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|Titolo:||Fate of Lorentz symmetry in relative-locality momentum spaces|
|Data di pubblicazione:||2012|
|Citazione:||Fate of Lorentz symmetry in relative-locality momentum spaces / AMELINO-CAMELIA, Giovanni. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - STAMPA. - 85:8(2012), pp. 084034/1-084034/16. [10.1103/physrevd.85.084034]|
|Appartiene alla tipologia:||01a Articolo in rivista|