Classical Duals of Derivatively Self-Coupled Theories

Understand

Solutions to scalar theories with derivative self-couplings often have regions where non-linearities are important.

• Given a classical source, there is usually a region, demarcated by the Vainshtein radius, inside of which the classical non-linearities are dominant, while quantum effects are still negligible.
• If perturbation theory is used to find such solutions, the expansion generally breaks down as the Vainshtein radius is approached from the outside.
• Here we show that it is possible, by integrating in certain auxiliary fields, to reformulate these theories in such a way that non-linearities become small inside the Vainshtein radius, and large outside it.