Non-perturbative aspects of galileon duality

Understand

We study quantum aspects of the galileon duality, especially in the case of a particular interacting galileon theory that is said to be dual to a free theory through the action of a simultaneous field and coordinate transformation.

• This would appear to map a theory with multiple vacua to one with a unique vacuum state.
• However, by regulating the duality transformation using external sources, we are able to preserve the full vacuum structure in the dual frame.
• By explicitly calculating the one-particle irreducible effective action on a maximally symmetric background, we identify a semi-classical contribution to the Wightman functions that has not been taken into account in previous analyses due to the singular point in the duality map.