论文标题

Brans-Dicke理论的规范分析涉及约旦和爱因斯坦框架之间的哈密顿不等式

Canonical Analysis of Brans-Dicke Theory Addresses Hamiltonian Inequivalence between Jordan and Einstein Frames

论文作者

Gionti, Gabriele, J, S.

论文摘要

约旦和爱因斯坦的框架是根据哈密顿形式主义的。 Dirac对哈密顿系统的约束理论应用于约旦框架中的Brans-Dicke理论。在约旦和爱因斯坦框架中,布兰斯·迪克理论都有四个二级限制,其约束代数已关闭。我们表明,与人们普遍认为的相反,在两个框架之间,在两个框架之间的Weyl(共形)转换并不是典型的转换,就哈密顿形式主义而言。这也解决了量子机械不相等。显示了规范的转换。

Jordan and Einstein frame are studied under the light of Hamiltonian formalism. Dirac's constraint theory for Hamiltonian systems is applied to Brans-Dicke theory in the Jordan Frame. In both Jordan and Einstein frame, Brans-Dicke theory has four secondary first class constraints and their constraint algebra is closed. We show, contrary to what is generally believed, the Weyl (conformal) transformation, between the two frames, is not a canonical transformation, in the sense of Hamiltonian formalism. This addresses quantum mechanical inequivalence as well. A canonical transformation is shown.

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