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07 February 2025
 
  » arxiv » 1609.0193

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Gamma-ray burst polarization reduction induced by the Lorentz invariance violation
Hai-Nan Lin ; Xin Li ; Zhe Chang ;
Date 1 Sep 2016
AbstractIt has been observed that photons in the prompt emission of some gamma-ray bursts (GRBs) are highly polarized. The high polarization is used by some authors to give a strict constraint on the Lorentz invariance violation (LIV). If the Lorentz invariance is broken, the polarization vector of a photon may rotate during its propagation. The rotation angle of polarization vector depends on both the photon energy and the distance of source. It is believed that if high polarization is observed, then the relative rotation angle (denoted by $alpha$) of polarization vector of the highest energy photon with respect to that of the lowest energy photon should be no more than $pi/2$. Otherwise, the net polarization will be severely suppressed, thus couldn’t be as high as what was actually observed. In this paper, we will give a detailed calculation on the evolution of GRB polarization arising from LIV effect duration the propagation. It is shown that the polarization degree rapidly decrease as $alpha$ increases, and reaches a local minimum at $alphaapprox pi$, then increases until $alphaapprox 3pi/2$, after that decreases again until $alpha approx 2pi$, etc. The polarization degree as a function of $alpha$ oscillates with a quasi-period $Tapprox pi$, while the oscillating amplitude gradually decreases to zero. Moreover, we find that a considerable amount (more than $60\%$ of the initial polarization) of polarization degree can be conserved when $alphaapprox pi/2$. The polarization observation in a higher and wider energy band, a softer photon spectrum, and a higher redshift GRB is favorable in order to tightly constrain LIV effect.
Source arXiv, 1609.0193
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