Plebanski theory and covariant canonical formulation

被引：27

作者：

Alexandrov, S. ^{[1
]}

Buffenoir, E. ^{[1
]}

Roche, Ph ^{[1
]}

机构：

[1] Univ Montpellier 2, Lab Phys Theor & Astroparticules, F-34095 Montpellier 05, France

来源：

CLASSICAL AND QUANTUM GRAVITY | 2007年 / 24卷 / 11期

关键词：

D O I：

10.1088/0264-9381/24/11/003

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We establish an equivalence between the Hamiltonian formulation of the Plebanski action for general relativity and the covariant canonical formulation of the Hilbert-Palatini action. This is done by comparing the symplectic structures of the two theories through the computation of Dirac brackets. We also construct a shifted connection with simplified Dirac brackets, playing an important role in the covariant loop quantization programme, in the Plebanski framework. Implications for spin foam models are also discussed.

引用

页码：2809 / 2824

页数：16

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