Towards the deformation quantization of linearized gravity
广义相对论与量子宇宙学
2009-11-10 v1
摘要
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 its discrete spectrum.
引用
@article{arxiv.gr-qc/0401088,
title = {Towards the deformation quantization of linearized gravity},
author = {Hernando Quevedo and Julio G. Tafoya},
journal= {arXiv preprint arXiv:gr-qc/0401088},
year = {2009}
}
备注
13 pages, no figures **preliminary entry ***