Unruh effect and detectors moving in a circle

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Hi all,

I have a question about the Unruh effect. I've read that a detector will only register the effect (i.e., the thermal bath) when the Rindler horizon is visible - in turn, a detector accelerating in a circle (changing direction but not speed) would not measure the thermal effect because no horizon is visible. Can anyone shed light on whether this is, in fact, correct?
 
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Very intersting question, One has to do mode transformation and see if positive frequency modes transform into negetive frequency modes.
 
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