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Title: Relational observables in 2D quantum gravity

Abstract

Local observation is an important problem both for the foundations of a quantum theory of gravity and for applications to quantum-cosmological problems such as eternal inflation. While gauge-invariant local observables cannot be defined, it has been argued that appropriate relational observables approximately reduce to local observables in certain states. However, quantum mechanics and gravity together imply limitations on the precision of their localization. Such a relational framework is studied in the context of two-dimensional gravity, where there is a high degree of analytic control. This example furnishes a concrete example of some of the essential features of relational observables.

Authors:
 [1];  [2]
  1. Department of Physics, Department of Physics, Kavli Institute of Theoretical Physics, University of California, Santa Barbara, California 93106 (United States)
  2. Department of Physics, Kavli Institute of Theoretical Physics, University of California, Santa Barbara, California 93106 (United States)
Publication Date:
OSTI Identifier:
20933293
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.104007; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GAUGE INVARIANCE; GRAVITATION; INFLATIONARY UNIVERSE; QUANTUM GRAVITY; QUANTUM MECHANICS; TWO-DIMENSIONAL CALCULATIONS

Citation Formats

Gary, Michael, and Giddings, Steven B. Relational observables in 2D quantum gravity. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.104007.
Gary, Michael, & Giddings, Steven B. Relational observables in 2D quantum gravity. United States. doi:10.1103/PHYSREVD.75.104007.
Gary, Michael, and Giddings, Steven B. Tue . "Relational observables in 2D quantum gravity". United States. doi:10.1103/PHYSREVD.75.104007.
@article{osti_20933293,
title = {Relational observables in 2D quantum gravity},
author = {Gary, Michael and Giddings, Steven B.},
abstractNote = {Local observation is an important problem both for the foundations of a quantum theory of gravity and for applications to quantum-cosmological problems such as eternal inflation. While gauge-invariant local observables cannot be defined, it has been argued that appropriate relational observables approximately reduce to local observables in certain states. However, quantum mechanics and gravity together imply limitations on the precision of their localization. Such a relational framework is studied in the context of two-dimensional gravity, where there is a high degree of analytic control. This example furnishes a concrete example of some of the essential features of relational observables.},
doi = {10.1103/PHYSREVD.75.104007},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}
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