(1) Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, México, D.F., 04510, México;(2) Department of Physics, University of California, Davis, CA 95616, USA
Abstract:
We present a first attempt to apply the approach of deformation quantization to linearized Einstein's equations. We use the analogy with Maxwell equations to derive the field equations of linearized gravity from a modified Maxwell Lagrangian which allows the construction of a Hamiltonian in the standard way. The deformation quantization procedure for free fields is applied to this Hamiltonian. As a result we obtain the complete set of quantum states and the discrete energy spectrum of linearized gravity.
