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Production and Targeting of Monovalent Quantum Dots
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Towards apparent convergence in asymptotically safe quantum gravity.

T Denz1, J M Pawlowski1,2, M Reichert1

  • 11Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany.

The European Physical Journal. C, Particles and Fields
|April 19, 2019
PubMed
Summary
This summary is machine-generated.

This study explores asymptotic safety in gravity using a systematic vertex expansion. Researchers found a UV fixed point and infrared trajectories consistent with classical general relativity, supporting asymptotically safe gravity.

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Area of Science:

  • Quantum Gravity
  • Renormalization Group Flows
  • Theoretical Physics

Background:

  • The asymptotic safety scenario offers a potential UV completion for quantum gravity.
  • Previous work established a vertex expansion for functional renormalization group flows.

Purpose of the Study:

  • Extend the vertex expansion to the four-point function of the dynamical graviton.
  • Derive a closed flow equation for the graviton propagator.
  • Investigate the implications for asymptotically safe gravity.

Main Methods:

  • Systematic vertex expansion scheme for functional renormalization group flows.
  • Extension to the dynamical graviton four-point function.
  • Covariant operator expansion for accessing higher-derivative operators.

Main Results:

  • A closed flow equation for the graviton propagator was obtained for the first time.
  • A UV fixed point with three attractive and two repulsive directions was identified.
  • Infrared trajectories corresponding to classical general relativity and non-classical behaviors were found.

Conclusions:

  • The study confirms previous findings on the relevance of the first three operators.
  • Signatures for the apparent convergence of the systematic vertex expansion were observed.
  • This work presents a promising path towards establishing asymptotically safe gravity.