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
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.
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