Non-perturbative quantum Galileon in the exact renormalization group

Understand

We investigate the non-perturbative renormalization group flow of the scalar Galileon model in flat space.

• We discuss different expansion schemes of the Galileon truncation, including a heat-kernel based derivative expansion, a vertex expansion in momentum space and a curvature expansion in terms of a covariant geometric formulation.
• We find that the Galileon symmetry prevents a quantum induced renormalization group running of the Galileon couplings.
• Consequently, the Galileon truncation only features a trivial Gaussian fixed point.