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The GlueX experiment at Jefferson Lab aims to study the light meson spectrumwith an emphasis on the search for hybrid mesons. To this end, alinearly-polarized $9\,$GeV photon beam impinges on a hydrogen target containedwithin a detector with near-complete neutral and charged particle coverage. In2018, the experiment completed its first phase of data taking in its designconfiguration and the quantity of analyzed data already exceed that of previousexperiments for polarized photoproduction in this energy regime by orders ofmagnitude. Polarization observables such as spin-density matrix elementsprovide valuable input for the theoretical description of the productionmechanism, which will be essential for the interpretation of possible exoticmeson signals. We present results for the photoproduction of vector mesons,focusing on the unprecedented statistical precision of the spin-density matrixelements for the $\rho(770)$ meson.

Spin-Density Matrix Elements for Vector Meson Photoproduction at GlueX