Advanced Quantum Field Theory (physics7501)

Dozent: Akaki Rusetsky

 

Vorlesung: Mi 10-12, Do 9-10, SR II, HISKP

 

Exercise groups:

Mo. 11-13, U2, Raum 0.033, AVZ I

Thu. 14-16, Konferenzraum II, PI 1.049, PI

 

Lectures:

1. The renormalization of the phi4 theory at one loop

2. Two loops: overlapping divergences

3. The renormalization group equations

4. Physical observables

5. Callan-Symanzik equation

6. Renormalizable and non-renormalizable interactions

7. Effective field theories. Decoupling theorem

8. Renormalization group and critical phenomena

9. Path integrals

10. Path integral in the field theory

11. Quantization of the gauge field theories

12. Calculation of loops

13. Ward identities in the path integral formulation: QED

14. Ward identities in the non-abelian gauge theories; Renormalization

15. BRST symmetry

16. Dimensional transmutation

17. Running mass and coupling constant. Renormalization group in QCD

18. Renormalization of the gauge theories with spontaneous symmetry breaking

19. Symmetries and anomalies i the path integral formalism

20. Anomaly cancellation

21. Scale anomaly and the origin of the nucleon mass

 

 

 

Exercises:

exercise 1

exercise 2

exercise 3

exercise 4

exercise 5

exercise 6

exercise 7

exercise 8

exercise 9

exercise 10

exercise 11

exercise 12

exercise 13

exercise 14

 

 

 

 

 

Seminars: SR II HISKP, 18:15

January 19: Khastyan, Shmavonyan

January 26: Essink, Gelenava

February 2: Mehra, Kaspschak

February 7: Bedhotiya, Wiesner

 

First exam: Friday, February 10, 15:00, HS 1

Second exam: Mo, April 3, 10:00 SR II HISKP