The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order

Knorr, Benjamin

doi:10.21468/SciPostPhysCore.4.3.020

SciPost Physics Core

The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order

Benjamin Knorr

SciPost Phys. Core 4, 020 (2021) · published 9 September 2021

doi: 10.21468/SciPostPhysCore.4.3.020
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Abstract

We present a general framework to systematically study the derivative expansion of asymptotically safe quantum gravity. It is based on an exact decoupling and cancellation of different modes in the Landau limit, and implements a correct mode count as well as a regularisation based on geometrical considerations. It is applicable independent of the truncation order. To illustrate the power of the framework, we discuss the quartic order of the derivative expansion and its fixed point structure as well as physical implications.

TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.4.3.020
TI  - The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order
PY  - 2021/09/09
UR  - https://scipost.org/SciPostPhysCore.4.3.020
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 4
IS  - 3
SP  - 020
A1  - Knorr, Benjamin
AB  - We present a general framework to systematically study the derivative expansion of asymptotically safe quantum gravity. It is based on an exact decoupling and cancellation of different modes in the Landau limit, and implements a correct mode count as well as a regularisation based on geometrical considerations. It is applicable independent of the truncation order. To illustrate the power of the framework, we discuss the quartic order of the derivative expansion and its fixed point structure as well as physical implications.
ER  -

@Article{10.21468/SciPostPhysCore.4.3.020,
	title={{The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order}},
	author={Benjamin Knorr},
	journal={SciPost Phys. Core},
	volume={4},
	pages={020},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.4.3.020},
	url={https://scipost.org/10.21468/SciPostPhysCore.4.3.020},
}

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¹ Benjamin Knorr

¹ Perimeter Institute [PI]

Funders for the research work leading to this publication

Gouvernement du Canada / Government of Canada
Ministry of Research and Innovation (Canada, Ontario, Min Res&Innov) (through Organization: Ministry of Research, Innovation and Science - Ontario [MRIS])