Author:
Podolskiy Dmitriy,Barvinsky Andrei O.,Lanza Robert
Abstract
Abstract
We show that in the presence of disorder induced by random networks of observers measuring
covariant quantities (such as scalar curvature) (3+1)-dimensional
quantum gravity exhibits an effective dimensional reduction at large spatio-temporal scales, which is
analogous to the Parisi-Sourlas phenomenon observed for quantum field theories
in random external fields. After averaging over disorder associated with observer networks, statistical properties of the latter determine both the value of gravitational constant and the effective cosmological constant in the model. Focusing on the dynamics of infrared degrees of freedom we find that
the upper critical dimension of the effective theory is lifted
from D
cr = 1+1 to D
cr = 3+1 dimensions.
Subject
Astronomy and Astrophysics
Cited by
5 articles.
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