Generalised Proca Theories

Understand

In this work we will summarise the recent progress made in constructing consistent theories for a massive vector field with derivative self-interactions.

• The construction is such that only the three desired polarisations of the Proca field propagate.
• We apply a systematic construction of the interactions by using the anti-symmetric Levi-Civita tensors.
• This finite family of allowed derivative self-interactions can be also obtained from the decoupling limit by imposing that the St\"uckelberg field only contains second derivatives both with itself and with the transverse modes.