Acceleration has no effect on a causality-enforcing trivial vacuum, so the Unruh effect is absent and standard calculations omit a cancelling contribution from Lorentz transformations acting on the detector.
(D.2) in Annex D,p +′ ∝p +; so, the vacuum momentum is zero in all FF frames;i.e.,p + = 0for the vacuum, even in boosted and accelerated frames
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Poincar\'e invariance and the Unruh effect
Acceleration has no effect on a causality-enforcing trivial vacuum, so the Unruh effect is absent and standard calculations omit a cancelling contribution from Lorentz transformations acting on the detector.