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Topic of this paper is the time-evolution of intrinsic correlations of galaxyellipticities due to peculiar motion. In our model, the galaxy ellipticitiesare determined from the angular momentum of their host haloes, which can becomputed from the fluctuations statistics of a Gaussian random field.Subsequent peculiar motion distorts the ellipticity field and causes changes inthe ellipticity correlations. Using analogies between this problem of shiftedellipticity tensors and the displacements of polarisation tensors ingravitational lensing of the cosmic microwave background we compute E-mode andB-mode spectra of the time-evolved ellipticity field, where the displacementsare modelled with first and second order Lagrangian perturbation theory. ForEUCLID, ellipticity correlations are decreased on large multipoles l >1000,amounting to up to 10% in the E-mode spectrum C_E^epsilon(l) and up to 60% inthe B-mode spectrum C_B^epsilon(l) at l~3000 due to the dispersing effect ofpeculiar motion. E/B-mode conversion in analogy to CMB-lensing is present butsmall. We conclude that distortions of the ellipticity field due to peculiarmotion is not affecting the prediction of ellipticity models on the scalesrelevant for lensing in the case of EUCLID's galaxy distribution, but shouldaffect larger scales for surveys at lower redshifts.

Evolution of intrinsic ellipticity correlations due to peculiar motion