Geometrized quantum Galileons

Understand

We investigate the renormalization structure of the scalar Galileon model in flat spacetime by calculating the one-loop divergences in a closed geometric form.

• The geometric formulation is based on the definition of an effective Galileon metric and allows to apply known heat-kernel techniques.
• The result for the one-loop divergences is compactly expressed in terms of curvature invariants of the effective Galileon metric and corresponds to a resummation of the divergent one-loop contributions of all n-point functions.
• The divergent part of the one-loop effective action therefore serves as generating functional for arbitrary n-point counterterms.