scholarly journals Limits on neutron Lorentz violation from the stability of primary cosmic ray protons

2008 ◽  
Vol 78 (8) ◽  
Author(s):  
Brett Altschul
2005 ◽  
Vol 20 (06) ◽  
pp. 1303-1310
Author(s):  
RALF LEHNERT

Many theoretical approaches to quantum gravity predict the breakdown of Lorentz symmetry at Planck energies. Kinematical cosmic-ray studies are a sensitive tool in the search for such effects. This talk discusses the construction of test dispersion relations for such analyses.


2019 ◽  
Vol 30 (4) ◽  
pp. 045901 ◽  
Author(s):  
G Bonomi ◽  
M Caccia ◽  
A Donzella ◽  
D Pagano ◽  
V Villa ◽  
...  

1993 ◽  
Vol 405 ◽  
pp. 199 ◽  
Author(s):  
Dongsu Ryu ◽  
Hyesung Kang ◽  
T. W. Jones

2009 ◽  
Vol 24 (07) ◽  
pp. 1359-1381 ◽  
Author(s):  
ZHI XIAO ◽  
BO-QIANG MA

We derive a modified dispersion relation (MDR) in the Lorentz violation extension of the quantum electrodynamics (QED) sector in the standard model extension (SME) framework. Based on the extended Dirac equation and corresponding MDR, we observe the resemblance of the Lorentz violation coupling to spin–gravity coupling. We also develop a neutrino oscillation mechanism induced by the presence of nondiagonal terms of Lorentz violation couplings in two-flavor space in a two-spinor formalism by explicitly assuming neutrinos to be Marjorana fermions. We also obtain a very stringent bound (∽ 10-25) on one of the Lorentz violation parameters by applying the MDR to the ultrahigh energy cosmic ray (UHECR) problem.


1989 ◽  
Vol 41 (1) ◽  
pp. 89-95 ◽  
Author(s):  
G. P. Zank

The stability of the MHD equations describing the mutual interaction of cosmic rays, thermal plasma, magnetic field and Alfvén waves used in cosmic-ray-shock acceleration theory (e.g. McKenzie & Völk 1982) is analysed for linear compressive instabilities. It is found that the inclusion of wave effects implies that the forward propagating sub-Alfvénic mode is unstable on wavelength scales greater than 1 parsec. The role of the instability in astrophysical models is considered.


1987 ◽  
Vol 37 (3) ◽  
pp. 363-372 ◽  
Author(s):  
G. P. Zank ◽  
J. F. Mckenzie

This paper investigates the stability of a cosmic ray shock to long-wavelength perturbations. The problem is formulated in terms of finding the transmission coefficient for compressive waves across a cosmic ray shock by solving the generalized, two-fluid Rankine-Hugoniot relations. For strong shocks, the transmission coefficient confirms that compressive waves can undergo considerable amplification on passage through such shocks. The resonances of the transmission coefficient provides us with the dispersion equation governing the stability of the shock to long-wavelength ripple-like distortions. By using the principle of the argument method, it is established that cosmic ray shocks are stable.


1987 ◽  
Vol 37 (3) ◽  
pp. 347-361 ◽  
Author(s):  
G. P. Zank ◽  
J. F. Mckenzie

In this paper we discuss the stability of three genetically similar non-uniform flows to compressive disturbances whose wavelengths are much shorter than the length scales characterizing the background flow. The results are relevant to theoretical models of cosmic ray shocks and solar wind type flows involving heat conduction. A JWKB expansion solution yields an equation which determines how the amplitudes of the perturbations may grow (or decay) as they propagate within such structures. It is shown that, in all three of the models considered, the perturbations exhibit spatial growth if the background flow is sufficiently supersonic and decelerating. The associated equations describing the evolution of the wave action are also studied with a view to deciding whether or not the behaviour of this attractive variable can provide an unambiguous answer to the question of stability. In the case of a shock transition dominated by heat conduction, it is shown that the effects of dissipative heating within the transition more than offset those of wave growth, with the result that wave amplification is accompanied by wave action decay. Therefore in general it would appear that the wave action equation alone cannot unambiguously settle stability questions.


1992 ◽  
Author(s):  
Hyesung Kang ◽  
Dongsu Ryu ◽  
T. W. Jones
Keyword(s):  

2010 ◽  
Vol 25 (06) ◽  
pp. 459-469 ◽  
Author(s):  
E. CASTELLANOS ◽  
A. CAMACHO

We analyze the stability of a Bose–Einstein condensate in a Lorentz violating scenario, which is characterized by a deformation in the dispersion relation. The incorporation of a Lorentz violation within the bosonic statistics has, as a consequence, the emergence of a pseudo-interaction, the one can be associated to a characteristic scattering length. In addition, we calculate the relevant parameters associated to the stability of such condensate incorporating this pseudo-interaction in the nonlinear term of the Gross–Pitaevskii equation. We show that these parameters must be corrected, as a consequence of the quantum structure of spacetime.


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