course dates credits
Advanced topics in Quantum Field Theory Oct 24 - Nov 3
Nov 28 - Dec 15
teachers schedule term
Roberto Percacci Mon-Thur, 8:30 - 9:45 1


Geometry of gauge theories: Fiber bundles and connections
Classical and quantum kinks in 1+1 dimensional linear scalar theory
Solitons in 2+1 dimensional nonlinear sigma models
The chiral models and skyrmions
Nielsen-Olesen vortices
't Hooft-Polyakov monopoles
Aharonov-Bohm effect and quantization ambiguities in general
Theta vacua in various theories
The dilute instanton gas approximation
Instantons and confinement in the abelian Higgs model in 2+1 dimensions
The Yang-Mills instanton
The Wess-Zumino-Witten term
The Chern-Simons term
The axial anomaly
The index theorem and theta vacua
The local anomaly
The Wess-Zumino functional
Dimensional descent equations and cohomology
Bosonization of the Schwinger and Thirring models


Some quantum field theory, elementary topology and elementary differential geometry, as explained in lessons 2, 3 and 4 of


M. Shifman, Advanced Topics in Quantum Field Theory, Cambridge University press (2012)
Y. Frishman and J. Sonnenschein, Non-Perturbative Field Theory, Cambridge University press (2014)
R. Rajaraman, Solitons and Instantons, North Holland (1982).
S. Coleman, Aspects of Symmetry, Cambridge University press (1985).
S.B. Treiman, R. Jackiw, B. Zumino and E. Witten, Current algebra and anomalies, Princeton University press (1985).

Online Resources:

Filename Size (bytes) Date Modified
Appendices.pdf 131.59 KB May 23 2017 2:07 PM
Instantons.pdf 253.87 KB May 23 2017 2:07 PM
Quantization of parameters.pdf 134.72 KB May 23 2017 2:07 PM
Solitons.pdf 246.5 KB May 23 2017 2:07 PM