Proper time is stochastic time in 2d quantum gravity

Ambjorn, J.; Loll, R.; Watabiki, Y.; Westra, W.; Zohren, S.

Proper time is stochastic time in 2d quantum gravity

J. Ambjorn
(
- Bohr Inst. and
- Utrecht U.
)
,
R. Loll
(
- Utrecht U.
)
,
Y. Watabiki
(
- Tokyo Inst. Tech.
)
,
W. Westra
(
- Iceland U.
)
,
S. Zohren
(
- Leiden U. and
- Sao Paulo U.
)

Nov, 2009

30 pages

Part of Proceedings, Foundations of Space and Time: Reflections on Quantum Gravity : Cape Town, South Africa, 338-362

Contribution to:

Foundations of Space and Time: Reflections on Quantum Gravity, 338-362

e-Print:

0911.4211 [hep-th]

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Abstract: (arXiv)

We show that proper time, when defined in the quantum theory of 2d gravity, becomes identical to the stochastic time associated with the stochastic quantization of space. This observation was first made by Kawai and collaborators in the context of 2d Euclidean quantum gravity, but the relation is even simpler and more transparent in he context of 2d gravity formulated in the framework of CDT (causal dynamical triangulations).

Note:

30 pages, Talk presented at the meeting 'Foundations of Space and Time', Cape Town, 10-14 August 2009. To appear in the proceedings, CUP

talk: Cape Town 2009/08/10
dimension: 2
quantization: stochastic
quantum gravity: Euclidean
matrix model: continuum limit
simplex
triangulation
field theory: string
propagator
noise

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