Quantum Field Theory in Curved Spacetime - SS 2010
Lecturer: Prof. Dr. Martin Schottenloher
Assistents: Simon Lentner, Christian Paleani
Dates
Main Lecture: | Mi 12 -14, Room B 251 |
Additional Lecture: | Mo 18 -20, Room B 251 |
Tutorial: | Mi 14 -16, Room B 039 |
News
Ab Montag, den 24.5.2010, findet eine Ergänzung zur Vorlesung statt, in der auf 'Quanteneffekte der Gravitation' eingegangen wird. Jeweils 18 - 20 Uhr, Raum B 251. Eine aktuelle Zusammenfassung dazu hat uns Matthias Drews bereitgestellt, siehe unten.Alle Teilnehmer, die einen Schein benötigen, werden gebeten, sich per Email bei Herrn Paleani zu melden.
Tutorial
We prompt the students to invent their own excersices. You should take a problem mentioned e.g. in the lecture, make a concrete problem out of it, solve it, place it into the total context, submit the solution and present it to the other students during tutorial.These presentations and the submitted solution will be the foundation of your marks at the end of the course.
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Notizen und ergänzende Manuskripte:Contents
- Introduction and Overview
- C*-Algebras
- States and Representations
- Product States
- Weyl Systems and the CCR-Algebra as a Universal Construction
- Geometry of Lorentz Spaces and Manifolds
- Globally Hyperbolic Spacetimes and Cauchy Hypersurfaces
- Distributions on Manifolds
- Fundamental Solutions of the Wave Equation (Local Theory)
- Fundamental Solutions of the Wave Equation (Global Theory)
- Quantization
- Axioms of a Locally Covariant Theory
- Wave Front Sets
Links and Sources
- The main source for the course is the collection of articles edited by C. Bär and K. Fredenhagen,
"Quantum Field Theory on Curved Spacetimes" (Springer-Verlag, 2009) which consists of 5 articles which are available through the net: - C. Bär, C. Becker: C*-algebras
- F. Pfäffle: Lorentzian Manifolds
- N. Ginoux: Linear Wave Equations
- A. Strohmaier Microlocal Analysis
- R. Brunetti, K. Fredenhagen: Quantum Field Theory on Curved Backgrounds
- A more detailed description of the third chapter can be found in the book of Bär, Ginoux and Pfäffle,
"Wave Equations in Lorentzian Manifolds and Quantization" (EMS, 2007)
- Other sources are
- A survey article by R. M. Wald: The Formulation of Quantum Field Theory in Curved Spacetime (pdf)
- Another survey by R. M. Wald: The History and Present Status of Quantum Field Theory in Curved Spacetime (pdf)
- A survey article by Kay: Quantum Field Theory in Curved Spacetimes
- The book of P. Günther: "Huygens' Principle and Hyperbolic Equations", Academic Press 1988.
- Lecture Notes of C. Fewster: Lectures on quantum field theory in curved spacetime (pdf)
- Lecture Notes of K. Fredenhagen: Quantenfeldtheorie auf gekrümmter Raumzeit (ps.gz)
Contact
Person | Emailadresse | ||
---|---|---|---|
Prof. Dr. Martin Schottenloher | schotten | "at" | math.lmu.de |
Christian Paleani | cpaleani | "at" | math.lmu.de |
Simon Lentner | ? | "at" | math.lmu.de |