course dates credits
Quantum Field Theory II Jan 15 - Feb 23 1.5
teachers schedule term
Roberto Percacci 8:30 - 9:45 2

Program:

Role of classical solutions in quantum theory
Classical and quantum kinks in 1+1 dimensional linear scalar theory
Solitons in 2+1 dimensional nonlinear sigma models
The chiral models, 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 Dirac quantization condition for monopole charges
Wess-Zumino-Witten terms in diverse dimensions
Chern-Simons terms
The index theorem and theta vacua
The local anomaly and Wess-Zumino functionals
Bosonization in two-dimensional models
Simple examples of dualities
Introduction to critical phenomena
Necessary mathematical complements will be sprinkled through the course.

Prerequisites:

Some quantum field theory, elementary topology and elementary differential geometry, as explained in lessons 2, 3 and 4 of http://people.sissa.it/~percacci/lectures/genrel/index.html

Books:

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 29 2017 9:49 AM
Instantons.pdf 253.87 KB May 29 2017 9:49 AM
Quantization of parameters.pdf 134.72 KB May 29 2017 9:49 AM
Solitons.pdf 246.5 KB May 29 2017 9:49 AM