How hot is the de Sitter space?

Narnhofer, H.; Peter, I.; Thirring, Walter E.

doi:10.1142/S0217979296000611

How hot is the de Sitter space?

1996

14 pages

Part of Selected papers of Walter E. Thirring with commentaries, 603-616

Published in:

Int.J.Mod.Phys.B 10 (1996) 1507-1520

DOI:

10.1142/S0217979296000611

View in:

AMS MathSciNet

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Abstract: (WSP)

We show that the unique invariant locally Minkowskian state of quantum fields in de Sitter space M has for an observer moving along with a Killing vector field a temperature

\frac{1}{2\pi} \sqrt{\frac{1}{R^2} +| a |^2}

where R is the radius of M and a his acceleration. States with another temperature cannot be locally Minkowskian all over M.

space-time: de Sitter
temperature
field theory: acceleration
field theory: scalar
vector: Killing
time
linear space
algebra

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