PHY572 Advanced Field Theory

General Information

Lecturer:

Prof. Adrian Signer

Assistent: 

Dr. David Marzocca

Lecture: Thursday, 08:45 - 10:30, in ETH HIT F32
Exercises:

Thursday, 10:45 - 11:30, in ETH HIT F32

Module code:  PHY572, 402-0848-00L
ECTS credits: 6

Contacts

Name Room Telephone Email

Prof. Adrian Signer

Y36 J34 +41 44 633 2578

Dr. David Marzocca

Y36 J36 +41 44 635 5805

Introduction

The course treats the following topics in quantum field theory:

  • Renormalons
  • Effective Field Theories
  • Chiral Lagrangians
  • Anomalies
  • Topological objects in Field Theory and the early universe

 

Prerequisites: Quantum Field Theory I
Recommended: Quantum Field Theory II (to be attended in parallel)

Lecture topics

Date Topic References
23.02.17 Renormalons

MBK 1, 2.1-2.2

02.03.17 Renormalons MBK 2.1-2.2
09.03.17 Global symmetries and linear sigma model SP 9.3, DGH 1.4
16.03.17 Goldstone theorem, non-linear sigma model, pion decay SP 9.4
23.03.17 Chiral symmetry of QCD SP Ch.9
30.03.17 Effective Field Theories  
06.04.17 Chiral perturbation theory

DGH 4.1 - 4.6

13.04.17 Chiral anomaly

DGH 3.2 - 3.3, PS 19

27.04.17 Chiral and gauge anomalies SP 13.2, PS 19
04.05.17 Trace anomaly / solitons DGH 3.4, PS 19.5, SRE 92
11.05.17 Monopoles SRE 92
18.05.17 Intermezzo: triangle anomaly and γ5 in dim. reg.  
01.06.17 Instantons SRE 93

 

Exercise Sheets

Date Topic Sheet Ref.
23.02.17 Photon self-energy and running coupling Sheet 01 (PDF, 161 KB) PS 7.5, SP 5.2, MBK 2.1-2.2, notes
02.03.17 Pole and MSbar mass, IR renormalon Sheet 02 (PDF, 174 KB) SP 5.2, MBK 5.4.1, notes
09.03.17 Linear sigma model and explicit symm. breaking Sheet 03 (PDF, 150 KB) SP 9.3, DGH 1.4, notes
16.03.17 Representations of the sigma model Sheet 04 (PDF, 169 KB) DGH 4.1, notes
23.03.17 Charged pion decay Sheet 05 (PDF, 159 KB) DGH 7.1
30.03.17 Strategy of regions Sheet 06 (PDF, 145 KB) notes
6.04.17 NLO matching in chiral-PT Sheet 07 (PDF, 198 KB) notes
13.04.17 Neutral pion decay Sheet 08 (PDF, 176 KB) notes
27.04.17 Axial anomaly in 2d QED Sheet 09 (PDF, 153 KB) notes
04.05.17 Soliton in 2d scalar theory Sheet 10 (PDF, 144 KB) SRE 92
11.05.17 Monopole Sheet 11 (PDF, 165 KB)  

 

Bibliography - References

  • MBK: Martin Beneke, Renormalonshep-ph/9807443
  • DGH: Dynamics of the Standard Model, John Donoghue, Eugene Golowich and Barry Holstein, Cambridge University Press (2014)
  • SP:  Gauge Field Theories, Stefan Pokorski, Cambridge University Press (1990)
  • PS:  An Introduction to Quantum Field Theory, Michael Peskin and Daniel Schroeder, Perseus Books (1995)
  • SW:  The Quantum Theory of Fields, vol II, Steven Weinberg, Cambridge University Press (1998)
  • SRE:  Quantum Field Theory,  Mark Srednicki, Cambridge University Press (2007)

 

Further references:

  • The Theory of Quark and Gluon interactions, Francisco J. Yndurain, Springer (1998)
  • Anomalies in gauge theories, M.Shifman, Phys. Rep. 209 (1991) 341
  • ABC of Instantons, V.A. Novikov, M.A.Shifman,A.I.Vainshtein, V.I.Zakharov, Sov.Phys.Usp. 25 (1982) 195
  • Physical Foundations of Cosmology, V.Mukhanov, Cambridge University Press (2005)
  • Cosmology in gauge field theory and string theory, D. Bailin and A. Love, IOP (2004)