The Legendre Transform of the Holst Action

I start with a short introduction on 3+1 ADM form and the tetrad form of General Relativity, then I review the Legendre transform of the Einstein-Hilbert action and the Palatini action. The Holst action is a generalization of the Palatini action by including a topological term. I derive Ashtekar's connection form directly from this action by doing the Legendre transformation rather than by a canonical transformation in the usual phase space. This is done in both Remmanian signature with half-flat connection and Lorentz signature with general Barbero-Immirzi parameter.

Name thesis:degree_name

M.S. in Physics

Level thesis:degree_level

Thesis

Year dc:date.available

2012

Author dc:creator

• Gao, Caixia

Contributors dc:contributor

• Luca Bombelli
• Alakabha Datta
• Marco Cavaglia

• 3+1 Decomposition
• Hamiltonian
• Holst Action
• Legendre Transformation
• Loop Quantum Gravity
• Quantum Gravity
• Astrophysics and Astronomy

Repository record dc:identifier

https://egrove.olemiss.edu/etd/116

OAI identifier oai:identifier

oai:egrove.olemiss.edu:etd-1115