دورية أكاديمية

A note on the Holst action, the time gauge, and the Barbero-Immirzi parameter.

التفاصيل البيبلوغرافية
العنوان: A note on the Holst action, the time gauge, and the Barbero-Immirzi parameter.
المؤلفون: Geiller, Marc1 geillermarc@gmail.com, Noui, Karim karim.noui@lmpt.univ-tours.fr
المصدر: General Relativity & Gravitation. Sep2013, Vol. 45 Issue 9, p1733-1760. 28p.
مصطلحات موضوعية: *GENERAL relativity (Physics), *HAMILTON'S equations, *EQUATIONS of motion, *LAGRANGE multiplier, *MATHEMATICAL optimization, *QUANTUM theory, *THERMODYNAMICS
مستخلص: In this note, we review the canonical analysis of the Holst action in the time gauge, with a special emphasis on the Hamiltonian equations of motion and the fixation of the Lagrange multipliers. This enables us to identify at the Hamiltonian level the various components of the covariant torsion tensor, which have to be vanishing in order for the classical theory not to depend upon the Barbero-Immirzi parameter. We also introduce a formulation of three-dimensional gravity with an explicit phase space dependency on the Barbero-Immirzi parameter as a potential way to investigate its fate and relevance in the quantum theory. [ABSTRACT FROM AUTHOR]
قاعدة البيانات: Academic Search Index
الوصف
تدمد:00017701
DOI:10.1007/s10714-013-1552-7