Astrophysical limit on the deformation of the Poincare group

Abstract

The deformed Poincaré group contains a characteristic mass, κ. At energies exceeding κ, deviations from the special theory of relativity become significant. However, small deviations from ordinary relativistic kinematics are observable even at energies substantially lower than κ. The observation of distant events producing ultra high energy (UHE) particles leads to a lower limit on κ. From an analysis of the UHE data on the burst in the binary system HER X1 in 1986, we deduce κ > ∼1012 GeV.

Deformed Poincaré algebra and field theory

“…For instance, according to ref. [17] the lowest bound consistent with experimental observations is M min ≃ 10 12 GeV. Finally, a field theory with less divergences than the usual ones requires also less counterterms to cure them.…”

“…First of all, such a dPA will be characterized by a non-trivial function β(P 0 ) which certainly will result in observable deviations of the special theory of relativity. There exist already some analyses [16,17] which put limits on the characteristic mass scale M appearing in general in β(P 0 ) on dimensional grounds. For instance, according to ref.…”

Dynamical symmetry breaking and the Nambu–Goldstone theorem in the Gaussian wave functional approximation

“…This fact was subsequently rediscovered several times [15,16] and this unsatisfactory situation persisted until 1994 [17]. Various conjectures as to the reasons for this failure and as to potential remedies were advanced during this period of time.…”

“…[14,15,16,17]. The first proof was given in the O(2) symmetric φ 4 theory [17], and then straightforwardly extended to O(4) in [18]; the crucial assumption was that the ground state be O(N-1) symmetric, i.e.…”

Quantum-gravity-motivated Lorentz-symmetry tests with laser interferometers

“…There is however interest in testing them through their implications for other classes of astrophysics observations[9,10,12,11,13] 2. The strain is here defined, as conventional, according to h ≡ ∆L/L, where L is the reference length of the interferometer arms and ∆L is the change of the length of the arms due to the effect under study.…”