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Related papers: An asymptotically safe guide to quantum gravity an…

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The renormalization group flow of unimodular quantum gravity is investigated within two different classes of truncations of the flowing effective action. In particular, we search for non-trivial fixed-point solutions for polynomial…

High Energy Physics - Theory · Physics 2021-05-18 Gustavo P. de Brito , Antonio D. Pereira , Arthur F. Vieira

We discuss the birth of the non-perturbative approach to quantum gravity known as quantum Einstein gravity, in which the gravitational interactions are conjectured to be asymptotically safe. The interactions are assumed to be finite and…

High Energy Physics - Theory · Physics 2022-10-26 Riccardo Martini , Gian Paolo Vacca , Omar Zanusso

The recently proposed theory of "Asymptotically Free Mimetic Gravity" is extended to the general non-homogeneous, spatially non-flat case. We present a modified theory of gravity which is free of higher derivatives of the metric. In this…

High Energy Physics - Theory · Physics 2020-08-05 Ali H. Chamseddine , Viatcheslav Mukhanov , Tobias B. Russ

We study the quantum properties of the three-dimensional higher derivative gravity. In particular we calculate the running of the gravitational and cosmological constants. The flow of these couplings shows that there exist both Gaussian and…

High Energy Physics - Theory · Physics 2015-06-05 Nobuyoshi Ohta

We study the short distance behaviour of euclidean quantum gravity in the light of Weinberg's asymptotic safety scenario. Implications of a non-trivial ultraviolet fixed point are reviewed. Based on an optimised renormalisation group, we…

High Energy Physics - Theory · Physics 2009-11-11 Daniel F. Litim

We provide an informal introduction to tensor field theories and to their associated renormalization group. We focus more on the general motivations coming from quantum gravity than on the technical details. In particular we discuss how…

Mathematical Physics · Physics 2016-07-18 Vincent Rivasseau

Being interested in the compatibility of Asymptotic Safety with Hilbert space positivity (unitarity), we consider a local truncation of the functional RG flow which describes quantum gravity in $d>2$ dimensions and construct its limit of…

High Energy Physics - Theory · Physics 2016-03-09 Andreas Nink , Martin Reuter

A key incentive of quantum gravity is the removal of spacetime singularities plaguing the classical theory. We compute the non-perturbative momentum-dependence of a specific structure function within the gravitational asymptotic safety…

High Energy Physics - Theory · Physics 2019-09-11 Lando Bosma , Benjamin Knorr , Frank Saueressig

These notes are an introduction to asymptotic symmetries in gauge theories, with a focus on general relativity in four dimensions. We explain how to impose consistent sets of boundary conditions in the gauge fixing approach and how to…

High Energy Physics - Theory · Physics 2020-05-05 Romain Ruzziconi

We zoom in on the microscopic dynamics for fermions and quantum gravity within the asymptotic-safety paradigm. A key finding of our study is the unavoidable presence of a nonminimal derivative coupling between the curvature and fermion…

High Energy Physics - Theory · Physics 2019-04-19 Astrid Eichhorn , Stefan Lippoldt , Marc Schiffer

Several extensions of the standard model feature new colored states that besides modifying the running of the QCD coupling could even lead to the loss of asymptotic freedom. Such a loss would potentially diminish the Wilsonian fundamental…

High Energy Physics - Phenomenology · Physics 2015-12-15 Francesco Sannino

We consider a four-dimensional $SU(N_c)$ gauge theory coupled to $N_f$ species of color fermions and $N_f^2$ colorless scalars. The quantum field theory possesses a weakly interacting ultraviolet fixed point that we determine from beta…

High Energy Physics - Theory · Physics 2024-04-04 A. V. Bednyakov , A. I. Mukhaeva

Ultralight scalar dark matter may couple to the Standard Model through dimension-five operators that contain the field-strength tensors of the gauge interactions. Recent progress in nuclear clocks is projected to increase the sensitivity to…

High Energy Physics - Phenomenology · Physics 2026-05-01 Gabriel Assant , Astrid Eichhorn , Benjamin Knorr

We combine the notion of asymptotic safety (AS) with conformal invariance in a hidden sector beyond the Standard Model. We use the renormalization group (RG) equations as a bridge to connect UV boundary conditions and EW/TeV scale physics…

High Energy Physics - Phenomenology · Physics 2018-08-02 Zhi-Wei Wang , Frederick S. Sage , T. G. Steele , R. B. Mann

Asymptotic Safety provides an elegant mechanism for obtaining a consistent high-energy completion of gravity and gravity-matter systems. Following the initial idea by Steven Weinberg, the construction builds on an interacting fixed point of…

High Energy Physics - Theory · Physics 2022-01-05 Cristobal Laporte , Antonio D. Pereira , Frank Saueressig , Jian Wang

We find considerable evidence supporting the conjecture that four-dimensional Quantum Einstein Gravity is ``asymptotically safe'' in Weinberg's sense. This would mean that the theory is likely to be nonperturbatively renormalizable and thus…

High Energy Physics - Theory · Physics 2009-11-07 O. Lauscher , M. Reuter

I discuss the renormalisation group approach to gravity, its link to Steven Weinberg's asymptotic safety scenario, and give an overview of results with applications to particle physics and cosmology.

High Energy Physics - Theory · Physics 2011-09-19 Daniel F. Litim

We construct a canonical quantization of the two dimensional theory of a parametrized scalar field on noncompact spatial slices. The kinematics is built upon generalized charge-network states which are labelled by smooth embedding…

General Relativity and Quantum Cosmology · Physics 2014-04-09 Sandipan Sengupta

Asymptotic Safety constitutes a promising mechanism for a consistent and predictive high-energy completion of the gravitational interactions. To date, most results on the interacting renormalization group fixed point underlying the…

High Energy Physics - Theory · Physics 2025-05-19 Frank Saueressig , Jian Wang

We use the functional renormalization group equation for the effective average action to study the non-Gaussian renormalization group fixed points (NGFPs) arising within the framework of f(R)-gravity minimally coupled to an arbitrary number…

High Energy Physics - Theory · Physics 2018-08-15 Natalia Alkofer , Frank Saueressig
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