Radboud University Institute for Mathematics, Astrophysics and Particle Physics

Frank Saueressig


Complete bibliography

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

Reviews on the gravitational Asymptotic Safety program

Five key scientific publications

[1] 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.

[2] 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.

[3] 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.

[4] Non-perturbative corrections to 4d string theory effective actions from SL(2,Z) duality and supersymmetry
      D. Robles-Llana, M. Rocek, F. Saueressig, U. Theis and S. Vandoren,
      Phys. Rev. Lett. 98 (2007) 211602, arXiv:hep-th/0612027.

We determine the hypermultiplet moduli space of Type IIB string theory compactified on a generic Calabi-Yau threefold including all perturbative string corrections and a wide class of non-perturbative corrections originating from D(-1) and D1-brane instanton contributions.

[5] 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.