One-loop corrections to vector Galileon theory

Understand

The effective action of the recently proposed vector Galileon theory is considered.

• Using the background field method, we obtain the one-loop correction to the propagator of the Proca field from vector Galileon self-interactions.
• Contrary to the so-called scalar Galileon interactions, the two-point function of the vector field gets renormalized at the one-loop level, indicating that there is no non-renormalization theorem in the vector Galileon theory.
• Using dimensional regularization, we remove the divergences and obtain the counterterms of the theory.