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Effective Field Theories


Saturday, 1 February 2020 to Saturday, 30 May 2020
Total hours: 40
Hours of lectures: 40

Examination procedure

  • oral exam


The course is aimed at 4th year master students.

Prerequisite: an introductory course on Quantum Field Theory.



The building blocks of the Standard Model 

Representations of the Lorentz group: Particles vs Fields

Long range forces: gauge invariance from Lorentz invariance

General Relativity as an Effective Field Theory

Effective Field Theories and Renormalisation 

Renormalization Group flows, fixed points and critical surfaces

Spontaneous Symmetry Breaking and the Goldstone Theorem

The Callan-Coleman-Wess-Zumino formalism 

The electroweak chiral Lagrangian and the Higgs boson

The naturalness of the electroweak scale

Non-linear realization of space-time symmetries

The Effective Field Theory of Inflation


Educational Goal:

The aim is to introduce the modern approach to quantum Effective Field Theories (EFTs). By the end of the course, students will know how to construct and use them. Moreover, they will learn why EFTs today play an ubiquitous role in theoretical physics by inspecting several examples ranging from the Standard Model of particle physics to gravity and the cosmology of the early universe.    


Bibliographical references

Steven Weinberg - The Quantum Theory of Fields, Volume 1, 2 

Matthew Schwartz - Quantum Field Theory and the Standard Model

Riccardo Barbieri - Lectures on the Electroweak Interactions

Daniel Baumann, Liam McAllister - Inflation and String Theory