Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-12-16
Phys.Rev.D74:064018,2006
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, harvmac "big", minor editing changes
Scientific paper
10.1103/PhysRevD.74.064018
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.
Giddings Steven B.
Hartle James B.
Marolf Donald
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