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Scaling solutions for asymptotically free quantum gravity
Saswato Sen, Christof Wetterich, Masatoshi Yamada
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 fre…
Asymptotic freedom and safety in quantum gravity
Saswato Sen, Christof Wetterich, Masatoshi Yamada
We compute non-perturbative flow equations for the couplings of quantum gravity in fourth order of a derivative expansion. The gauge invariant functional flow equation for arbitrar…
Non-perturbative unitarity and fictitious ghosts in quantum gravity
Alessia Platania, Christof Wetterich
We discuss aspects of non-perturbative unitarity in quantum field theory. The additional ghost degrees of freedom arising in "truncations" of an effective action at a finite order…
Fundamental Scale Invariance
C. Wetterich
We propose fundamental scale invariance as a new theoretical principle beyond renormalizability. Quantum field theories with fundamental scale invariance admit a scale-free formula…
Effective scalar potential in asymptotically safe quantum gravity
C. Wetterich
We compute the effective potential for scalar fields in asymptotically safe quantum gravity. A scaling potential and other scaling functions generalize the fixed point values of re…
Predictive power of grand unification from quantum gravity
Astrid Eichhorn, Aaron Held, Christof Wetterich
If a grand-unified extension of the asymptotically safe Reuter fixed-point for quantum gravity exists, it determines free parameters of the grand-unified scalar potential. All quar…
Variable Planck mass from the gauge invariant flow equation
Christof Wetterich, Masatoshi Yamada
Using the gauge invariant flow equation for quantum gravity we compute how the strength of gravity depends on the length or energy scale. The fixed point value of the scale-depende…
Quantum scale symmetry
C. Wetterich
Quantum scale symmetry is the realization of scale invariance in a quantum field theory. No parameters with dimension of length or mass are present in the quantum effective action.…
Higgs scalar potential in asymptotically safe quantum gravity
Jan M. Pawlowski, Manuel Reichert, Christof Wetterich +1
The effect of gravitational fluctuations on the quantum effective potential for scalar fields is a key ingredient for predictions of the mass of the Higgs boson, understanding the…
Quantum-gravity predictions for the fine-structure constant
Astrid Eichhorn, Aaron Held, Christof Wetterich
Asymptotically safe quantum fluctuations of gravity can uniquely determine the value of the gauge coupling for a large class of grand unified models. In turn, this makes the electr…
Exact evolution equation for the effective potential
Christof Wetterich
We derive a new exact evolution equation for the scale dependence of an effective action. The corresponding equation for the effective potential permits a useful truncation. This a…
Gauge-invariant fields and flow equations for Yang-Mills theories
C. Wetterich
We discuss the concept of gauge-invariant fields for non-abelian gauge theories. Infinitesimal fluctuations around a given gauge field can be split into physical and gauge fluctuat…
Gauge hierarchy problem in asymptotically safe gravity--the resurgence mechanism
Christof Wetterich, Masatoshi Yamada
The gauge hierarchy problem could find a solution within the scenario of asymptotic safety for quantum gravity. We discuss a "resurgence mechanism" where the running dimensionless…
Gauge symmetry from decoupling
C. Wetterich
Gauge symmetries emerge from a redundant description of the effective action for light degrees of freedom after the decoupling of heavy modes. This redundant description avoids the…
Gauge invariant flow equation
C. Wetterich
We propose a closed gauge-invariant functional flow equation for Yang-Mills theories and quantum gravity that only involves one macroscopic gauge field or metric. It is based on a…
Scaling solutions for Dilaton Quantum Gravity
Tobias Henz, Jan Martin Pawlowski, Christof Wetterich
Scaling solutions for the effective action in dilaton quantum gravity are investigated within the functional renormalization group approach. We find numerical solutions that connec…
Dilaton Quantum Gravity
Tobias Henz, Jan Martin Pawlowski, Andreas Rodigast +1
We propose a simple fixed point scenario in the renormalization flow of a scalar dilaton coupled to gravity. This would render gravity non-perturbatively renormalizable and thus co…
Geometry and symmetries in lattice spinor gravity
C. Wetterich
Lattice spinor gravity is a proposal for regularized quantum gravity based on fermionic degrees of freedom. In our lattice model the local Lorentz symmetry is generalized to comple…
Non-commutativity from coarse grained classical probabilities
C. Wetterich
Non-commutative quantum physics at the atom scale can arise from coarse graining of a classical statistical ensemble at the Planck scale. Position and momentum of an isolated parti…
Asymptotic safety of gravity and the Higgs boson mass
Mikhail Shaposhnikov, Christof Wetterich
There are indications that gravity is asymptotically safe. The Standard Model (SM) plus gravity could be valid up to arbitrarily high energies. Supposing that this is indeed the ca…
The cosmological constant problem in codimension-two brane models
Jan-Markus Schwindt, Christof Wetterich
We discuss the possibility of a dynamical solution to the cosmological constant problem in the contaxt of six-dimensional Einstein-Maxwell theory. A definite answer requires an und…
Dark energy cosmologies for codimension-two branes
Jan-Markus Schwindt, Christof Wetterich
A six-dimensional universe with two branes in the "football-shaped" geometry leads to an almost realistic cosmology. We describe a family of exact solutions with time dependent cha…
Critical Phenomena in Continuous Dimension
H. Ballhausen, J. Berges, C. Wetterich
We present a calculation of critical phenomena directly in continuous dimension d employing an exact renormalization group equation for the effective average action. For an Ising-t…
Holographic Branes
Jan-Markus Schwindt, Christof Wetterich
We discuss the properties of codimension-two branes and compare them to codimension-one branes. In particular, we show that for deficit angle branes the brane energy momentum tenso…