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In this paper, Lorentz Invariance Violation (LIV) is introduced in thecalculations of photon propagation in the Universe. LIV is considered in thephoton sector and the mean free path of the $\gamma \gamma \rightarrow e^{+}e^{-}$ interaction is calculated. The corresponding photon horizon includingLIV effects is used to predict major changes in the propagation of photons withenergy above $10^{18}$ eV. The flux of GZK photons on Earth considering LIV iscalculated for several source models of ultra-high energy cosmic ray (UHECR).The predicted flux of GZK gamma-rays is compared to the new upper limits on thephoton flux obtained by the Pierre Auger Observatory in order to impose upperlimits on the LIV coefficients of order $n =$ 0, 1 and 2. The limits on the LIVcoefficients derived here are more realistic than previous works and in somecases more restrictive. The analysis resulted in LIV upper limits in the photonsector of $\delta_{\gamma,0}^{limit} \sim -10^{-20}$,$\delta_{\gamma,1}^{limit} \sim -10^{-38} \; \mathrm{eV^{-1}}$ and$\delta_{\gamma,2}^{limit} \sim -10^{-56} \; \mathrm{eV^{-2}}$ in theastrophysical scenario which best describes UHECR data.

Limits on the Lorentz Invariance Violation from UHECR astrophysics