Radboud University Institute for Mathematics, Astrophysics and Particle Physics

Frank Saueressig

Publications


Complete bibliography

I follow an open science policy. All my publications are available through inspire.

Books and Reviews

Some key scientific publications

[1] Regular black holes with stable cores
      A. Bonanno, A.-P. Khosravi and F. Saueressig,
      Phys.Rev.D 103 (2021) 12, 124027, arXiv:2010.04226 [hep-th].

Cauchy horizons are inner horizons of a black hole. If they are perturbed by a cross flow of ingoing and outgoing matter, they are supposed to be unstable. We show that certain classes of regular black hole geometries exhibit instabilities that are significantly weaker than the ones known for Reisner-Nordstrom black holes.


[2] Form Factors in Asymptotic Safety: conceptual ideas and computational toolbox
      B. Knorr, C. Ripken and F. Saueressig,
      Class. Quant. Grav. 36 (2019) 23, 234001, arXiv:1907.02903 [hep-th].

What could be good observables within the gravitational asymptotic safety program and how could we compute them? In this work we argue that form factors will be the key to developing asymptotically safe scattering amplitudes.


[3] The gravitational two-loop counterterm is Asymptotically Safe
      H. Gies, B. Knorr, S. Lippoldt and F. Saueressig,
      Phys. Rev. Lett. 116 (2016) 211302, arXiv:1601.01800 [hep-th].

The renormalization group flow of the Einstein-Hilbert action supplemented by the two-loop counterterm found by Goroff and Sagnotti exhibits the non-Gaussian fixed point crucial for Asymptotic Safety. The new operator corresponds to an irrelevant direction and does not introduce a undetermined coupling constant.


[4] Asymptotically Safe Lorentzian Gravity
      E. Manrique, S. Rechenberger and F. Saueressig,
      Phys. Rev. Lett. 106 (2011) 251302, arXiv:1102.5012 [hep-th].

We lay the ground work for studying renormalization group flows of gravity in the ADM-formalism. It is shown that Asymptotic Safety also holds when the beta functions obtained within the Einstein-Hilbert projection are continued to Lorentzian signature. The techniques developed are also suitable for computing renormalization group flows within Horava-Lifshitz gravity.


[5] Asymptotic safety in higher-derivative gravity
      D. Benedetti, P. F. Machado and F. Saueressig,
      Mod. Phys. Lett. A 24 (2009) 2233, arXiv:0901.2984 [hep-th].

This is the first time that a non-perturbative computation based on the gravitational effective average action disentangles the running coupling constants associated with the square of the Ricci-scalar and the square of the Riemann tensor. The separation of tensor structures has profound consequences for the stability coefficients associated with Asymptotic Safety: instead of a pair of complex coefficients seen in the Einstein-Hilbert case, the computation exhibits 4 real critical exponents. Only three coefficients turn out to encode relevant coupling constants, providing strong evidence for the predictiveness of Asymptotic Safety.


[6] Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation
     M. Reuter and F. Saueressig, Phys. Rev. D 65 (2002) 065016, arXiv:hep-th/0110054.

The work constructs the phase diagram of Quantum Einstein Gravity in the Einstein-Hilbert approximation. In particular, it is shown that the non-Gaussian fixed point, being at the heart of the Asymptotic Safety program, is connected to a classical regime by continuous renormalization group trajectories.