Hamiltonian analysis of unimodular gravity and its quantization in the connection representation

Understand

We perform the Hamiltonian analysis of unimodular gravity in terms of the connection representation.

• The unimodular condition is imposed straightforwardly into the action with a Lagrange multiplier.
• After classifying constraints into first class and second class, the canonical quantization is carried out.
• We consider the difference of the corresponding physical states between unimodular gravity and general relativity.