Holographic RG flows for gravitational couplings

Rachwał, Lesław; Percacci, Roberto

doi:10.1002/prop.201400027

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Fortschritte der Physik

2014

DOI: 10.1002/prop.201400027

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Holographic RG flows for gravitational couplings

Lesław Rachwał

Roberto Percacci

Abstract: We present the first attempt to find the holographic interpretation of running of the Newton's constant in 4‐dimensional quantum theory. We compute its scale‐dependence using functional renormalization group methods based on a Wilsonian momentum cutoff. We show the details of the corresponding holographic RG flow in 5‐dimensional spacetime with minimally coupled scalar field in the bulk. In this domain wall setup the scalar potential is found. Solutions of this theory describe RG flows of gravitational couplin… Show more

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Cited by 2 publications

References 12 publications

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Infrared behavior of Weyl Gravity

Rachwał

Giaccari

2021

J. Phys.: Conf. Ser.

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In this paper, we introduce and motivate the studies of Quantum Weyl Gravity (also known as Conformal Gravity). We discuss some appealing features of this theory both on classical and quantum level. The construction of the quantum theory is described in detail to the one-loop level. To facilitate computations we use only physical degrees of freedom, which are singled out through the York decomposition. At the one-loop level we compute the partition function around a general Einstein space. Next, the functional renormalization group of couplings in Quantum Weyl Gravity is investigated. We reproduce completely previous results obtained on maximally symmetric and Ricci-flat backgrounds. Finally, we comment on further directions and on the issue of conformal anomaly.

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Infrared behavior of Weyl Gravity

Rachwał

Giaccari

2021

J. Phys.: Conf. Ser.

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Infrared behavior of Weyl gravity: Functional renormalization group approach

2020

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Starting from ultraviolet fixed point we study infrared behavior of quantum Weyl gravity in terms of functional RG flow equation. To do so, we employ two classes of Bach-flat backgrounds, namely maximally symmetric spacetimes and Ricci-flat backgrounds in the improved one-loop scheme. We show, that in the absence of matter fields and with a topological term included, the effective action exhibits dynamical breaking of scale symmetry. In particular, it is shown that apart from genuine IR fixed point that is reached at zero-value of the running scale, the RG flow also exhibits bouncing behavior in the IR regime. We demonstrate that both βC and βE reach the RG turning point (almost) simultaneously at the same finite energy scale, irrespectively of the chosen background. The IR fixed point itself is found to be IR-stable in the space of considered couplings. Ensuing scaling dimensions of both operators are also computed. Salient issues, including connection of the observed bouncing RG flow behavior with holography and prospective implications in early universe cosmology are also briefly discussed.

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Holographic RG flows for gravitational couplings

Cited by 2 publications

References 12 publications

Infrared behavior of Weyl Gravity

Infrared behavior of Weyl Gravity

Infrared behavior of Weyl gravity: Functional renormalization group approach

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