Observables in effective gravity

Abstract

We address the construction and interpretation of diffeomorphism-invariant observables in a low-energy effective theory of quantum gravity. The observables we consider are constructed as integrals over the space of coordinates, in analogy to the construction of gauge-invariant observables in Yang-Mills theory via traces. As such, they are explicitly non-local. Nevertheless we describe how, in suitable quantum states and in a suitable limit, the familiar physics of local quantum field theory can be recovered from appropriate such observables, which we term `pseudo-local.' We consider measurement of pseudo-local observables, and describe how such measurements are limited by both quantum effects and gravitational interactions. These limitations support suggestions that theories of quantum gravity associated with finite regions of spacetime contain far fewer degrees of freedom than do local field theories.

43 pages, harvmac "big", minor editing changes

References in corpus (38)

• Decoherence, einselection, and the quantum origins of the classical
• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Effective Field Theory, Black Holes, and the Cosmological Constant
• The dS/CFT Correspondence
• Quantization of diffeomorphism invariant theories of connections with local degrees of freedom
• Quantum Gravity In De Sitter Space
• Partial observables
• ``Sum over Surfaces'' form of Loop Quantum Gravity
• Cosmological Breaking of Supersymmetry?
• Time-of-arrival in quantum mechanics
• Quantum Observables and Recollapsing Dynamics
• The boundary S-matrix and the AdS to CFT dictionary
• A Uniqueness Theorem for Constraint Quantization
• Fundamental decoherence from quantum gravity: a pedagogical review
• Observables of String Field Theory
• The projector on physical states in loop quantum gravity
• Precursors, black holes, and a locality bound
• Recurrent Nightmares?: Measurement Theory in de Sitter Space
• Almost Ideal Clocks in Quantum Cosmology: A Brief Derivation of Time
• Comparing Formulations of Generalized Quantum Mechanics for Reparametrization-Invariant Systems
• The information paradox and the locality bound
• Minisuperspaces: Observables and Quantization
• Observables and a Hilbert Space for Bianchi IX
• Quantum geometry of 2d gravity coupled to unitary matter
• Path Integrals and Instantons in Quantum Gravity
• Refined Algebraic Quantization: Systems with a single constraint
• The issue of time in generally covariant theories and the Komar-Bergmann approach to observables in general relativity
• Invariant Correlations in Simplicial Gravity
• Simplicial Quantum Gravity
• Group Averaging and Refined Algebraic Quantization: Where are we now?
• Refined Algebraic Quantization in the oscillator representation of SL(2,R)
• On Correspondence of BRST-BFV, Dirac and Refined Algebraic Quantizations of Constrained Systems
• The Conditional Probability Interpretation of the Hamiltonian Constraint
• On Group Averaging for SO(n,1)
• Superselection sectors in the Ashtekar-Horowitz-Boulware model
• Entropy of the Stiffest Stars
• Group averaging in the (p,q) oscillator representation of SL(2,R)
• Refined Algebraic Quantization of Constrained Systems with Structure Functions

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• Decoherence in Quantum Gravity: Issues and Critiques
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• Infrared Behavior of Quantum Fields in Inflationary Cosmology -- Issues and Approaches: an overview
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• Phase transitions in tensorial group field theories: Landau-Ginzburg analysis of models with both local and non-local degrees of freedom
• On the structure of a background independent quantum theory: Hamilton function, transition amplitudes, classical limit and continuous limit
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• Hidden entanglement at the Planck scale: loss of unitarity and the information paradox
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• Gauge Independent Logarithms from Inflationary Gravitons
• Stationary cosmology in group field theory
• Beyond the Planck scale
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• Relational Dynamics with Periodic Clocks
• Quantum Cauchy Surfaces in Canonical Quantum Gravity
• Quantum Gravity, Hydrodynamics and Emergent Cosmology: A Collection of Perspectives
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• Incompleteness Theorems for Observables in General Relativity
• Partial Observables in Extended Systems
• Cosmological implications of the hydrodynamical phase of group field theory
• Gravitational null rays: Covariant Quantization and the Dressing Time
• Barnich-Troessaert Bracket as a Dirac Bracket on the Covariant Phase Space
• Quantum Reference Frames via Transition Amplitudes in Timeless Quantum Gravity
• Quantum Uncertainty as an Intrinsic Clock
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• Bottom up approach to quantum gravity
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