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Advanced Topics in QFT: from non-perturbative phenomena to gravity

Module NAT3005

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Basic Information

NAT3005 is a semester module in language at which is offered irregularly.

This Module is included in the following catalogues within the study programs in 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 workloadContact hoursCredits (ECTS)
300 h 90 h 10 CP

Responsible coordinator of the module NAT3005 is Andreas Weiler.

Content, Learning Outcome and Preconditions


  • Solitons in 2D (kink), 3D (vortices), 4D (monopoles)
  • Introduction to homotopy theory and homotopy groups
  • The U(1) problem and the strong CP problem
  • Anomalies and zero modes
  • Instantons and t'Hooft operator
  • QFT in curved space-time
  • Unruh effect
  • Hawking effect
  • Entanglement entropy

Learning Outcome

After successful completion of the module the students are able to understand and model
  1. non-perturbative phenomena in QFT relevant for the theta-vacuum
  2. the violation of anomalous global symmetries by instantons and sphalerons
  3. the quantum theory of inflation
  4. Particle physics in the presence of strong gravitational fields (e.g. near black holes)


QFT1 and QFT2 (highly recommended) and knowledge of general relativity (if possible, especially in Part2).

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 4 Advanced Topics in QFT: from non-perturbative phenomena to gravity Weiler, A. Tue, 10:00–12:00, PH 3343
Thu, 12:00–14:00, PH 3343
UE 2 Exercise to Advanced Topics in QFT: from non-perturbative phenomena to gravity
Responsible/Coordination: Weiler, A.
Mon, 12:00–14:00, PH 3343

Learning and Teaching Methods

Blackboard lectures and tutorials


Blackboard lectures, possibly but not necessarily with use of slides to show complicated results


  • S. Weinberg - Quantum Field Theory (1 & 2)
  • Rajamaran - Solitons and Instantons
  • L. Parker/D. Toms, Quantum Field Theory in Curved Spacetime, Cambridge Monographs on Mathematical Physics
  • Coleman - Aspects of Symmetry
  • Schwartz - Quantum Field Theory and the Standard Model
  • 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

Module Exam

Description of exams and course work

no info

Exam Repetition

The exam may be repeated at the end of the semester.

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