“…The effects of this result on pair creation are discussed in the next section. A brief clarification should be made at this point regarding the connection with FEL radiation: As is generally known, apart from amplitude fluctuations, FEL radiation does also exhibit fluctuations in phase [48,50,51], making the standing wave hypothesis [5,6,8,9,16,24,36] even more challenging to realise experimentally. The reason we do not include this type of fluctuations in the formulation is twofold: First, the problem of vacuum e − e + pair creation in the presence of fields that undergo fluctuations both in amplitude and phase is considerably more complex, while the tools that have been developed for treating analogous problems in atomic transitions [62][63][64] are not directly applicable to the problem at hand.…”