The World-Line Quantum Mechanics Model at Finite Temperature which is Dual to the Static Patch Observer in de Sitter Space
Abstract
A simple conformal quantum mechanics model of a d-component variable is proposed, which exactly reproduces the retarded Green functions and conformal weights of conformally coupled scalar fields in de Sitter spacetime seen by a static patch observer. It is found that the action integral of this model is automatically expressed by a complex integral over the time variable t along a closed contour in a way which is typical to the Schwinger-Keldysh formalism of a thermofield theory. Hence this model is at finite temperature. The case of conformally coupled scalar fields in 3d Schwarzschild de Sitter space is also considered and then a large-N matrix model is obtained.
Keywords
Cite
@article{arxiv.1112.1267,
title = {The World-Line Quantum Mechanics Model at Finite Temperature which is Dual to the Static Patch Observer in de Sitter Space},
author = {Ryuichi Nakayama},
journal= {arXiv preprint arXiv:1112.1267},
year = {2012}
}
Comments
LaTex, 19 pages, 1 figure; The powers of \ell (cosmological length) which multiply the generators H, K corrected. (The author would like to thank Prof. R. Jackiw for pointing out the mistakes.) A footnote added. Typos corrected