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We study the analytic structure of light-front wave functions (LFWFs) and itsconsequences for hadron form factors using an explicitly Lorentz-invariantformulation of the front form. The normal to the light front is specified by ageneral null vector $\omega^\mu.$ The LFWFs with definite total angularmomentum are eigenstates of a {\it kinematic} angular momentum operator andsatisfy all Lorentz symmetries. They are analytic functions of the invariantmass squared of the constituents $M^2_0= (\sum k^\mu)^2$ and the light-conemomentum fractions $x_i= {k_i\cd \omega / p \cd \omega}$ multiplied byinvariants constructed from the spin matrices, polarization vectors, and$\omega^\mu.$ These properties are illustrated using known nonperturbativeeigensolutions of the Wick--Cutkosky model. We analyze the LFWFs introduced byChung and Coester to describe static and low momentum properties of thenucleons. They correspond to the spin-locking of a quark with the spin of itsparent nucleon, together with a positive-energy projection constraint. Theseextra constraints lead to anomalous dependence of form factors on $Q$ ratherthan $Q^2.$ In contrast, the dependence of LFWFs on $M^2_0$ implies that hadronform factors are analytic functions of $Q^2$ in agreement with dispersiontheory and perturbative QCD. We show that a model incorporating theleading-twist perturbative QCD prediction is consistent with recent data forthe ratio of proton Pauli and Dirac form factors.Comment: LaTex, 29 page

Covariant structure of light-front wave functions and the behavior of hadronic form factors