Tachyonic equations to reduce the divergent integral of QED
Abstract
If the total integral including both 0<V<c and c<V<infinity is considered, divergence will be reduced.Firstly,we use the Cherenkov radiation in media as analogue to confirm the formulation (7)-(10) of a tachyon in vacuum.Then these equations are applied to calculate the Lamb shift and the cut-off frequency is unnecessary.
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