Effective scalar potential in asymptotically safe quantum gravity

Understand

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 renormalizable couplings.
• The scaling potential takes a non-polynomial form, approaching typically a constant for large values of scalar fields.
• Spontaneous symmetry breaking may be induced by non-vanishing gauge couplings.