A finite-time QFT treatment removes the t-channel singularity that appears when an unstable particle scatters off another particle.
Neutrino oscillations in the interaction picture
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We study the mixing of different kind of fields (scalar in 0+1D, scalar in 3+1D, fermion in 3+1D) treating the mixing term as an interaction. To this aim, we employ the usual perturbative series in the interaction picture. We find that expression for flavor changing probability exhibits corrections with respect to the usual quantum mechanical (e.g. neutrino) oscillation formula, in agreement with the result previously obtained in the non-perturbative flavor Fock space approach.
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Scattering off unstable states
A finite-time QFT treatment removes the t-channel singularity that appears when an unstable particle scatters off another particle.