Probability of particle to exceed C?

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Is there a small probability for a particle or a photon to appear slightly exceed the speed of light?
 

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Most physicists probably think this does not happen in reality. In [relativistic] QFT it is not possible. In non-relativistic QM there is such a non-zero probability of getting a particle to move faster than light but it is considered a failing of the theory.
 
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but it is considered a failing of the theory.

Of course there is nothing surprising about a non-relativistic theory allowing faster-than-light travel - that's part of what being non-relativistic means.
 
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