Renormalization in Quantum Theories of Geometry

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Standard

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

Harvard

Ambjorn, J, Gizbert-Studnicki, J, Gorlich, A, Jurkiewicz, J & Loll, R 2020, 'Renormalization in Quantum Theories of Geometry', Frontiers in Physics, bind 8, 247. https://doi.org/10.3389/fphy.2020.00247

APA

Ambjorn, J., Gizbert-Studnicki, J., Gorlich, A., Jurkiewicz, J., & Loll, R. (2020). Renormalization in Quantum Theories of Geometry. Frontiers in Physics, 8, [247]. https://doi.org/10.3389/fphy.2020.00247

Vancouver

Ambjorn J, Gizbert-Studnicki J, Gorlich A, Jurkiewicz J, Loll R. Renormalization in Quantum Theories of Geometry. Frontiers in Physics. 2020 jul. 9;8. 247. https://doi.org/10.3389/fphy.2020.00247

Author

Ambjorn, Jan ; Gizbert-Studnicki, Jakub ; Gorlich, Andrzej ; Jurkiewicz, Jerzy ; Loll, Renate. / Renormalization in Quantum Theories of Geometry. I: Frontiers in Physics. 2020 ; Bind 8.

Bibtex

@article{813b81c4b5f243d7903ceba09d8998ec,
title = "Renormalization in Quantum Theories of Geometry",
abstract = "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.",
keywords = "quantum gravity, phase transitions, causal dynamical triangulations, lattice field theory, asymptotic safety, FRACTAL STRUCTURE, GRAVITY, CDT",
author = "Jan Ambjorn and Jakub Gizbert-Studnicki and Andrzej Gorlich and Jerzy Jurkiewicz and Renate Loll",
year = "2020",
month = jul,
day = "9",
doi = "10.3389/fphy.2020.00247",
language = "English",
volume = "8",
journal = "Frontiers in Physics",
issn = "2296-424X",
publisher = "Frontiers Media S.A",

}

RIS

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