Canonical Field Theories with Gravity (October ~ December)

Part III invokes more in-depth explorations of General Relativity; constrained dynamics is explained with mechanics and field theory examples, naturally leading to the canonical formulation of gravity, while the last Chapter deals with Hawking radiation and related quantum phenomena. Part III is meant to pave the way for how quantum physics may reconcile with gravity, and include material that is unusual in standard GR courses.

In this last set of installments, lectures will concentrate on two parts. 1) What gauging means in general, and for gravity via the ADM formulation in particular, and 2) Implications of the ADM formulation for black hole partition functions, namely thermodynamic free energies associated with Hawking effects. Detailed computations of Chapters 13 and 14 will be left to the book itself. 

12. An Excursion: Constrained Dynamics

13. Arnowitt - Deser - Misner

14. Quantum Fields and Relativistic Horizons