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Prog. Theor. Phys. Vol. 127 No. 3 (2012) pp. 393-408

[ Full Text PDF : FREE ACCESS (247K) ]

The Worldline Quantum Mechanics Model at Finite Temperature, Which Is Dual to the Static Patch Observer in de Sitter Space

Ryuichi Nakayama

Division of Physics, Graduate School of Science, Hokkaido University, Sapporo 060-0810, Japan

(Received December 8, 2011)

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 that 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.

Subject Index : 121
URL : http://ptp.ipap.jp/link?PTP/127/393/
DOI : 10.1143/PTP.127.393

[ Full Text PDF : FREE ACCESS (247K) ] Citation:

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