Effective Scalar Potential in Asymptotically Safe Quantum Gravity

We compute the effective potential for scalar fields in asymptotically safe quantum gravity. A scaling and other functions generalize fixed point values of renormalizable couplings. The takes a non-polynomial form, approaching typically constant large fields. Spontaneous symmetry breaking may be induced by non-vanishing gauge strengthen arguments prediction ratio between masses top quark Higgs boson. inflation standard model is unlikely to compatible with asymptotic safety. Scaling solutions vanishing relevant parameters can sufficient realistic description particle physics cosmology, leading an “cosmological constant” or dynamical dark energy.