Constrained projective quantum states for the degenerate Plebanski gravity

Research paper by Andrzej Okolow

Indexed on: 21 Mar '17Published on: 21 Mar '17Published in: arXiv - Mathematical Physics


Nowadays projective quantum states can be constructed for a number of field theories including Loop Quantum Gravity. However, these states are kinematic in this sense that their construction does not take into account the dynamics of the theories. In particular, the construction neglects constraints on phase spaces. Here we present projective quantum states for a "toy-theory" called degenerate Plebanski gravity which satisfy a constraint of this theory.