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Weaving a classical geometry with quantum threads
Abhay Ashtekar, Carlo Rovelli, Lee Smolin
Results that illuminate the physical interpretation of states of nonperturbative quantum gravity are obtained using the recently introduced loop variables. It is shown that: i) Whi…
Self Duality and Quantization
Abhay Ashtekar, Carlo Rovelli, Lee Smolin
Quantum theory of the free Maxwell field in Minkowski space is constructed using a representation in which the self dual connection is diagonal. Quantum states are now holomorphic…
A Loop Representation for the Quantum Maxwell Field
Abhay Ashtekar, Carlo Rovelli
Quantization of the free Maxwell field in Minkowski space is carried out using a loop representation and shown to be equivalent to the standard Fock quantization. Because it is bas…
Gravitons and Loops
Abhay Ashtekar, Carlo Rovelli, Lee Smolin
The recently proposed loop representation, used previously to find exact solutions to the quantum constraints of general relativity, is here used to quantize linearized general rel…