6533b7d5fe1ef96bd1265221

RESEARCH PRODUCT

Free field realization of cylindrically symmetric Einstein gravity

José Navarro-salasJ. CruzAleksandar Mikovic

subject

High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsSigma modelFOS: Physical sciencesCanonical transformationGeneral Relativity and Quantum Cosmology (gr-qc)Free fieldGeneral Relativity and Quantum CosmologyGeneral Relativity and Quantum Cosmologysymbols.namesakeQuantization (physics)High Energy Physics - Theory (hep-th)symbolsFísica nuclearDilatonNernst equationDiffeomorphismEinsteinMathematical physics

description

Cylindrically reduced Einstein gravity can be regarded as an $SL(2,R)/SO(2)$ sigma model coupled to 2D dilaton gravity. By using the corresponding 2D diffeomorphism algebra of constraints and the asymptotic behaviour of the Ernst equation we show that the theory can be mapped by a canonical transformation into a set of free fields with a Minkowskian target space. We briefly discuss the quantization in terms of these free-field variables, which is considerably simpler than in the other approaches.

https://doi.org/10.1016/s0370-2693(98)00904-6