Renormalization in Quantum Theories of Geometry
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Renormalization in Quantum Theories of Geometry. / Ambjorn, Jan; Gizbert-Studnicki, Jakub; Gorlich, Andrzej; Jurkiewicz, Jerzy; Loll, Renate.
I: Frontiers in Physics, Bind 8, 247, 09.07.2020.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Renormalization in Quantum Theories of Geometry
AU - Ambjorn, Jan
AU - Gizbert-Studnicki, Jakub
AU - Gorlich, Andrzej
AU - Jurkiewicz, Jerzy
AU - Loll, Renate
PY - 2020/7/9
Y1 - 2020/7/9
N2 - A hallmark of non-perturbative theories of quantum gravity is the absence of a fixed background geometry, and therefore the absence in a Planckian regime of any notion of length or scale that is defined a priori. This has potentially far-reaching consequences for the application of renormalization group methods a la Wilson, which rely on these notions in a crucial way. We review the status quo of attempts in the Causal Dynamical Triangulations (CDT) approach to quantum gravity to find an ultraviolet fixed point associated with the second-order phase transitions observed in the lattice theory. Measurements of the only invariant correlator currently accessible, that of the total spatial three-volume, has not produced any evidence of such a fixed point. A possible explanation for this result is our incomplete and perhaps naive understanding of what constitutes an appropriate notion of (quantum) length near the Planck scale.
AB - A hallmark of non-perturbative theories of quantum gravity is the absence of a fixed background geometry, and therefore the absence in a Planckian regime of any notion of length or scale that is defined a priori. This has potentially far-reaching consequences for the application of renormalization group methods a la Wilson, which rely on these notions in a crucial way. We review the status quo of attempts in the Causal Dynamical Triangulations (CDT) approach to quantum gravity to find an ultraviolet fixed point associated with the second-order phase transitions observed in the lattice theory. Measurements of the only invariant correlator currently accessible, that of the total spatial three-volume, has not produced any evidence of such a fixed point. A possible explanation for this result is our incomplete and perhaps naive understanding of what constitutes an appropriate notion of (quantum) length near the Planck scale.
KW - quantum gravity
KW - phase transitions
KW - causal dynamical triangulations
KW - lattice field theory
KW - asymptotic safety
KW - FRACTAL STRUCTURE
KW - GRAVITY
KW - CDT
U2 - 10.3389/fphy.2020.00247
DO - 10.3389/fphy.2020.00247
M3 - Journal article
VL - 8
JO - Frontiers in Physics
JF - Frontiers in Physics
SN - 2296-424X
M1 - 247
ER -
ID: 247157693