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The Auger collaboration has observed the number of muons which is higher thanits prediction by existing hadronic interaction models. We explain this excessof muons by using Lorentz invariance violation (LIV) in photon sector. As anoutcome of Lorentz invariance violation, the dispersion relation of photon getsmodified, which we use for the calculation of $\pi^0$ decay width. In the Augerdata of primary energy $10^{9.8}<E(\mbox{GeV})<10^{10.2}$, we find that theneutral pion decay width is suppressed in comparison to its standard model (SM)counterpart. As a result, we get a large number of muons explaining theobserved muon excess. We consider Planck suppressed LIV at order$\mathcal{O}(p^2/M^2_{\tiny \mbox{Pl}})$ for studying the photon sector, whichis in agreement with the current bounds, and not as tightly constrained as LIVat order $\mathcal{O}(p/M_{\tiny \mbox{Pl}})$.

Lorentz invariance violation as an explanation of muon excess in Auger data