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We identify the chiral and angular momentum content of the leadingquark-antiquark Fock component for the $\rho(770)$ and $\rho(1450)$ mesonsusing a two-flavor lattice simulation with dynamical Overlap Dirac fermions. Weextract this information from the overlap factors of two interpolating fieldswith different chiral structure and from the unitary transformation betweenchiral and angular momentum basis. For the chiral content of the mesons we findthat the $\rho(770)$ slightly favors the $(1,0)\oplus(0,1)$ chiralrepresentation and the $\rho(1450)$ slightly favors the $(1/2,1/2)_b$ chiralrepresentation. In the angular momentum basis the $\rho(770)$ is then a $^3S_1$state, in accordance with the quark model. The $\rho(1450)$ is a $^3D_1$ state,showing that the quark model wrongly assumes the $\rho(1450)$ to be a radialexcitation of the $\rho(770)$.

Angular momentum content of the $\rho(1450)$ from chiral lattice fermions