## Quantum Gravity## 53110 | Winter term 2016/17Thursdays, 10:00-11:30, seminar room 0.3 (new physics building) Start: October 20, 2016Specialized Master course within the Primary Area
of Specialization
GR-QFT## Contents of the lectureIntroduction to several approaches to unify gravity and quantum theory |

### Exercise classes

Exercise classes are voluntary and will be of informal character.

Organization: Branislav Nikolic

Time and place: Thursdays 14:00, Konferenzraum 1 (Neubau)

Start: November 24th

Date | Description | Resources and remarks |
---|---|---|

December 1st | Intuition behind the path integrals: double slit experiment | Lecture Notes by Hitoshi Murayama (good starting point); Lecture Notes by Richard MacKenzie (another good starting point); Lecture Notes by Matthias Blau; Cornell lecture notes (nice applications to Standard Model QFT, with basics of renormalization); Feynman's original paper on path integrals; |

December 8th | Questions and general discussion | |

December 15th | Crash course on constraint analysis: Hamiltonian formualtion of electrodynamics | Sundermeyer, Constrained Dynamics: Ch.6 |

December 22nd | The Constraints Zoo: primary, secondary, first class, second class; number of degrees of freedom. (Discussed on example of a massive vector field) | Students are encouraged to practice (and question!) constraint analasys on these kind of simple but insightful systems. Can you think of other examples where constraints arise? |

January 12nd | no class | |

January 19th | ABC before D: Issues with Dirac's view on first class constraints and gauge transformations | Pitts, arXiv:1310.2756; Castellani, Symmetries in constrained Hamiltonian systems; Pons, Salisbury, Shepley, arXiv:9612037 [gr-qc] |

January 26th | General remarks on Wheeler-DeWitt equation and disappearance of time | |

February 2nd | From full quantum gravity to classical world: details about semiclassical approximation(s) | TBA |

February 9th | No class! |

### Literature

The book is available at C. Kiefer,*Quantum Gravity*, third edition (Oxford University Press)

Review article: Conceptual Problems in Quantum Gravity and Quantum Cosmology, C. Kiefer