# Reconstructing the graviton

@article{Bonanno2021ReconstructingTG, title={Reconstructing the graviton}, author={Alfio Bonanno and Tobias Denz and Jan M. Pawlowski and Manuel Reichert}, journal={SciPost Physics}, year={2021} }

We reconstruct the Lorentzian graviton propagator in asymptotically safe quantum gravity from Euclidean data. The reconstruction is applied to both the dynamical fluctuation graviton and the background graviton propagator. We prove that the spectral function of the latter necessarily has negative parts similar to, and for the same reasons, as the gluon spectral function. In turn, the spectral function of the dynamical graviton is positive. We argue that the latter enters cross sections and…

## 29 Citations

### Form Factors in Asymptotically Safe Quantum Gravity

- Physics
- 2022

Asymptotic Safety implies that observables including scattering amplitudes remain ﬁnite at the highest energy scales. Traditionally, this feature is con-nected to an interacting ﬁxed point of the…

### Spectral functions of gauge theories with Banks-Zaks fixed points

- MathematicsPhysical Review D
- 2023

. We investigate spectral functions of matter-gauge theories that are asymptotically free in the ultraviolet and display a Banks-Zaks conformal ﬁxed point in the infrared. Using perturbation theory,…

### Evidence for a novel shift-symmetric universality class from the functional renormalization group

- PhysicsPhysics Letters B
- 2023

### Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm

- Physics
- 2022

. Horndeski gravity is a popular contender for a phenomenological model of dynamical dark energy, and as such subject to observational constraints. In this work, we ask whether Horndeski gravity can…

### Asymptotic safety of gravity with matter

- Physics
- 2022

The asymptotic-safety paradigm posits that the symmetry of quantum theories of gravity and matter is enhanced to quantum scale symmetry, i.e., scale symmetry in the presence of quantum fluctuations,…

### Scaling solutions for asymptotically free quantum gravity

- Physics
- 2022

We compute scaling solutions of functional ﬂow equations for quantum gravity in a general truncation with up to four derivatives of the metric. They connect the asymptotically free ultraviolet ﬁxed…

### Formation and evaporation of quantum black holes from the decoupling mechanism in quantum gravity

- Physics
- 2022

: We propose a new method to account for quantum-gravitational eﬀects in cosmological and black hole spacetimes. At the core of our construction is the “decoupling mechanism”: when a physical…

### Renormalised spectral flows

- Physics
- 2022

We derive renormalised ﬁnite functional ﬂow equations for quantum ﬁeld theories in real and imaginary time that incorporate scale transformations of the renormalisation conditions, hence…

### Causality, unitarity and stability in quantum gravity: a non-perturbative perspective

- PhysicsJournal of High Energy Physics
- 2022

Resumming quantum fluctuations at the level of the gravitational path integral is expected to result in non-local effective actions and thus in a non-trivial momentum dependence of the propagator.…

### Configuration space for quantum gravity in a locally regularized path integral

- Mathematics, PhysicsPhysical Review D
- 2022

: We discuss some aspects of the metric conﬁguration space in quantum gravity in the background ﬁeld formalism. We give a necessary and suﬃcient condition for the parameterization of Euclidean metric…

## References

SHOWING 1-10 OF 104 REFERENCES

### SciPost Phys

- 5, 065
- 2018

### Towards apparent convergence in asymptotically safe quantum gravity

- Materials ScienceThe European Physical Journal C
- 2018

The asymptotic safety scenario in gravity is accessed within the systematic vertex expansion scheme for functional renormalisation group flows put forward in Christiansen et al. (Phys Lett B 728:114,…

### Reconstructing the gluon

- Physics, MathematicsSciPost Physics
- 2018

We reconstruct the gluon spectral function in Landau gauge QCD from
numerical data for the gluon propagator. The reconstruction relies on
two novel ingredients: Firstly we derive analytically the low…

### Singularities and Discontinuities of Feynman Amplitudes

- Physics, Mathematics
- 1960

The Landau singularities of the amplitude calculated from an arbitrary Feynman graph are considered. It is shown that the discontinuity across a branch cut starting from any Landau singularity is…

### Reconstructing propagators of confined particles in the presence of complex singularities

- Mathematics, Physics
- 2021

Propagators of confined particles, especially the Landau-gauge gluon propagator, may have complex singularities as suggested by recent numerical works as well as several theoretical models, e.g.,…

### Effective spin foam models for Lorentzian quantum gravity

- Physics
- 2021

Making the Lorentzian path integral for quantum gravity well-defined and computable has been a long standing challenge. In this work we adopt the recently proposed effective spin foam models to the…

### Reconstructing confined particles with complex singularities

- Mathematics
- 2021

Complex singularities have been suggested in propagators of confined particles, e.g., the Landaugauge gluon propagator. We rigorously reconstruct Minkowski propagators from Euclidean propagators with…

### and a at

- ChemistryThe William Makepeace Thackeray Library
- 2018

The xishacorene natural products are structurally unique apolar diterpenoids that feature a bicyclo[3.3.1] framework. These secondary metabolites likely arise from the well-studied, structurally…