# Advanced Field Theory

### Introduction to the course

The course treats several advanced topics in quantum field theory, a sound understanding of which is a necessary foundation for research in elementary particle physics, astroparticle physics and cosmology. It broadly covers chiral symmetry, anomalies in field theories, topological objects in field theory, and related topics.

### Lectures notes and exercises

20 FEB | Anomalous breaking of scale invariance | notes | exercises |

27 FEB | The chiral anomaly I | notes | exercises |

6 MAR | The chiral anomaly II | notes | exercises |

13 MAR | The chiral anomaly III | notes | exercises |

20 MAR | Chiral symmetry breaking | notes | exercises |

27 MAR | Pion decay | notes | exercises |

3 APR | Sigma model | notes | exercises |

10 APR | Effective field theories | notes | exercises |

17 APR | Chiral perturbation theory | notes | exercises |

8 MAY | Instantons | notes | exercises |

15 MAY | The U(1) problem, the strong CP problem and the axion | notes | exercises |

22 MAY | Instanton effects in the EW theory, sphalerons and baryogenesis | notes | exercises |

### Bibliography - references

- Gauge Field Theories, Stefan Pokorski, Cambridge University Press (1990)
- An Introduction to Quantum Field Theory, Michael Peskin and Daniel Schroeder, Perseus Books (1995)
- The Quantum Theory of Fields, vol II, Steven Weinberg, Cambridge University Press (1998)
- 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)