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LACES 2024

Lezioni Avanzate di Campi E Stringhe

Galileo Galilei Institute for Theoretical Physics, Arcetri  Italy
November, 25th - December, 13th

 

Introduction to 't Hooft and ABJ Anomalies

Noppadol Mekareeya - INFN Milano-Bicocca

 
 
  Syllabus
 

 
This course provides an introduction to the 't Hooft anomaly and the Adler-Bell-Jackiw (ABJ) anomaly from a contemporary point of view. The following topics will be covered.
 
1. 't Hooft anomalies in (0+1)d quantum system
2. The anomaly inflow mechanism
3. ’t Hooft anomaly matching conditions
4. The ABJ anomaly in (3+1)d QED and QCD with massless quarks
5. The Atiyah-Singer index theorem
6. Chiral symmetry breaking in QCD with massless quarks
7. The SU(2) Witten anomaly
 
The lecture note can be found at the following link: https://www.dropbox.com/scl/fi/hkb921auy5eje78v7a0ev/main.pdf?rlkey=knpqufztae4fh9adsy9pw7o5w&dl=0  
 
 
 
References:  
 
1. N. Seiberg, The Power of Symmetry, Prospects in Theoretical Physics 2023: https://youtu.be/eJnhrSgFhts
 
2. N. Seiberg, The Power of Symmetry, TASI Lectures 2023:
https://youtu.be/dJ5lnCaxEUQ
https://youtu.be/0Zvvqahs4iQ
https://youtu.be/D4gcnQgqPZs
https://youtu.be/E7gRAEgQRwM
 
3. D. Gaiotto, A. Kapustin, Z. Komargodski, N. Seiberg, Theta, Time Reversal, and Temperature, [arXiv:1703.00501]
 
4. C. Cordova, D. S. Freed, H. T. Lam, N. Seiberg, Anomalies in the Space of Coupling Constants and Their Dynamical Applications I, [arXiv:1905.09315]
 
5. D. Tong, Lectures on Gauge Theory, https://www.damtp.cam.ac.uk/user/tong/gaugetheory.html
 
 
 
 
 
 
Organisers:
Agnese Bissi
Dario Francia
Federico Galli
Valentina Giangreco Puletti
Stefano Massai
Noppadol Mekareeya
Secretary:
Annalisa Anichini
Alessandra Gentili
Mauro Morandini
Housing:
Mirella Ridi
Computer assistance:
Alessio Attardi
Sponsored by