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Relational observables in asymptotically safe gravity

Baldazzi A, Falls K, Ferrero R (2022)

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Publication Type: Journal article

Publication year: 2022

Journal

Book Volume: 440

Pages Range: 168822

Article Number: 168822

DOI: 10.1016/j.aop.2022.168822

Abstract

We introduce an approach to compute the renormalisation group flow of relational observables in quantum gravity which evolve from their microscopic expressions towards the full quantum expectation value. This is achieved by using the composite operator formalism of the functional renormalisation group. These methods can be applied to a large class of relational observables within a derivative expansion for different physical coordinate systems. As a first application we consider four scalar fields coupled to gravity to represent the physical coordinate frame from which relational observables can be constructed. At leading order of the derivative expansion the observables are the inverse relational metric and the relational scalar curvature. We evaluate their scaling dimensions at the fixed point, both in the standard renormalisation group scheme and in the essential scheme. This represents the first steps to describe running observables within asymptotic safety; this treatment can be generalised to other observables constructed from different tensors and in different physical coordinate systems.

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APA:

Baldazzi, A., Falls, K., & Ferrero, R. (2022). Relational observables in asymptotically safe gravity. Annals of Physics, 440, 168822. https://doi.org/10.1016/j.aop.2022.168822

MLA:

Baldazzi, Alessio, Kevin Falls, and Renata Ferrero. "Relational observables in asymptotically safe gravity." Annals of Physics 440 (2022): 168822.

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