Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-12-06
Prog. Theor. Phys. 127 (2012), 393-408
Physics
High Energy Physics
High Energy Physics - Theory
LaTex, 19 pages, 1 figure; The powers of \ell (cosmological length) which multiply the generators H, K corrected. (The author
Scientific paper
10.1143/PTP.127.393
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.
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