期刊
JOURNAL OF GEOMETRY AND PHYSICS
卷 53, 期 1, 页码 98-121出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.geomphys.2004.06.003
关键词
deformation quantization; Kahler geometry; sigma-models
A simple geometric procedure is proposed for constructing Wick symbols on cotangent bundles of Riemannian manifolds. The main ingredient of the construction is a method of endowing the cotangent bundle with a formal Kahler structure. The formality means that the metric is lifted from the Riemannian manifold Q to its phase space T*Q in the form of formal power series in momenta with the coefficients being tensor fields on the base. The corresponding Kahler two-form on the total space of T*Q coincides with the canonical symplectic form, while the canonical projection of the Kahler metric on the base manifold reproduces the original metric. Some examples are considered, including constant curvature space and nonlinear sigma-models, illustrating the general construction. (C) 2004 Elsevier B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据