Galileon scalar electrodynamics

Understand

We construct a consistent model of Galileon scalar electrodynamics.

• The model satisfies three essential requirements: (1) The action contains higher-order derivative terms, and obey the Galilean symmetry, (2) Equations of motion also satisfy Galilean symmetry and contain only up to second-order derivative terms in the matter fields and, hence do not suffer from instability, and (3) local U(1) gauge invariance is preserved.
• We show that the non-minimal coupling terms in our model are different from that of the real scalar Galileon models; however, they match with the Galileon real scalar field action.
• We show that the model can lead to an accelerated expansion in the early Universe.