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A new look at Lorentz-covariant loop quantum gravity

A new look at Lorentz-covariant loop quantum gravity

In this work, we study the classical and quantum properties of the unique commutative Lorentz-covariant connection for loop quantum gravity. This connection has been found after solving the second-class constraints inherited from the canonical analysis of the Holst action without the time-gauge. We show that it has the property of …