Quantum Field Theory in Curved Space-Time
Module version of SS 2019 (current)
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
|available module versions|
|SS 2019||SS 2012|
PH2156 is a semester module in English language at Master’s level which is offered irregular.
This Module is included in the following catalogues within the study programs in physics.
- Specific catalogue of special courses for nuclear, particle, and astrophysics
- Complementary catalogue of special courses for condensed matter physics
- Complementary catalogue of special courses for Biophysics
- Complementary catalogue of special courses for Applied and Engineering Physics
- Specialization Modules in Elite-Master Program Theoretical and Mathematical Physics (TMP)
If not stated otherwise for export to a non-physics program the student workload is given in the following table.
|Total workload||Contact hours||Credits (ECTS)|
|300 h||90 h||10 CP|
Responsible coordinator of the module PH2156 is Martin Beneke.
Content, Learning Outcome and Preconditions
Classical fields in curved space-time
Field quantization in curved space-time and particle production
Quantum fluctuations in de Sitter space and inflation
Back-reaction, effective action and in-in formalism
Metric fluctuations and quantum corrections to inflation
Quantum field theory in (warped) extra dimensions
The specifics of field quantization in curved space-time compared to Minkowski space-time;
Basic mathematical formalism;
Applications to the physics of black holes, the early universe, and extra dimensions
Quantization of fields in Minkowski space-time (Quantum Field Theory);
Basic knowledge of classical General Relativity is helpful. With the literature mentioned below, the course may be attended without a course on General Relativity.
Courses, Learning and Teaching Methods and Literature
Courses and Schedule
|VO||4||Quantum Field Theory in Curved Space-Time||Beneke, M.||
Thu, 12:00–14:00, PH 3344
Tue, 08:00–10:00, PH 3344
|UE||2||Exercise to Quantum Field Theory in Curved Space-Time||
singular or moved dates
and dates in groups
Learning and Teaching Methods
Homework exercises preceded by a tutorium.
The lecture is designed for the presentation of the subject, usually by blackboard presentation. The focus resides on theoretical foundations of the field, presentation of methods and simple, illustrative examples. Command of basic methods is deepened and practised through homework problems, which cover important aspects of the field. The homework problems should develop the analytic skills of the students and their ability to perform calculations. The homework problems are discussed by the students themselves under the supervision of a tutor in order to develop the skills to solve and explain a physics problem coherently.
Course website: http://users.ph.tum.de/ga49yar/19ss-qftcurved/
 N.D. Birrell/P.C.W. Davies, "Quantum fields in curved space", Cambridge Monographs on Mathematical Physics
 V.F. Mukhanov/S. Winitzki, "Quantum Effects in Gravity", Cambridge University Press
 L. Parker/D. Toms, "Quantum Field Theory in Curved Spacetime", Cambridge Monographs on Mathematical Physics
 To review the basics of General Relativity: Chapter 2 of S. Weinberg "Gravitation and Cosmology"
 Journal Papers
Description of exams and course work
There will be a written exam of 120 minutes duration. Therein the achievement of the competencies given in section learning outcome is tested exemplarily at least to the given cognition level using calculation problems and comprehension questions.
For example an assignment in the exam might be: Question on topics such as Hawking radiation and others from the table of contents
The exam may be repeated at the end of the semester.
Current exam dates
Currently TUMonline lists the following exam dates. In addition to the general information above please refer to the current information given during the course.
|Exam to Quantum Field Theory in Curved Space-Time|
|Mon, 2023-07-17 till 23:55||Dummy-Termin. Wenden Sie sich zur individuellen Terminvereinbarung an die/den Prüfer(in). Anmeldung für Prüfungstermin vor 16.09.2023. // Dummy date. Contact examiner for individual appointment. Registration for exam date before 2023-Sep-16.||till 2023-06-30 (cancelation of registration till 2023-07-16)|
|Mon, 2023-09-18 till 23:55||Dummy-Termin. Wenden Sie sich zur individuellen Terminvereinbarung an die/den Prüfer(in). Anmeldung für Prüfungstermin zwischen 18.09.2023 und 21.10.2023. // Dummy date. Contact examiner for individual appointment. Registration for exam date between 2023-Sep-18 and 2023-Oct-21.||till 2023-09-17|