Green functions and Euclidean fields near the bifurcate Killing horizon

Details Green functions and Euclidean fields near the bifurcate Killing horizon Green functions and Euclidean fields near the bifurcate Killing horizon

2007-08-13

arxiv.org/abs/0708.1742v1

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

We approximate a Euclidean version of a D+1 dimensional manifold with a bifurcate Killing horizon by a product of a two-dimensional Rindler space and a D-1 dimensional manifold M. We obtain approximate formulas for the Green functions. We study the behaviour of Green functions near the horizon and their dimensional reduction. We show that if M is compact then the massless minimally coupled quantum field contains a zero mode which is a conformal invariant free field on R^2. Then, the Green function near the horizon can be approximated by the Green function of the two-dimensional quantum field theory. The correction term is exponentially small away from the horizon. If the volume of a geodesic ball is growing to infinity with its radius then the Green function cannot be approximated by a two-dimensional one.

Affiliated with

Also associated with

No associations

Rating

Green functions and Euclidean fields near the bifurcate Killing horizon does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Green functions and Euclidean fields near the bifurcate Killing horizon, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Green functions and Euclidean fields near the bifurcate Killing horizon will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-23809