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Effective Field Theories

Periodo di svolgimento

da Sabato, 1 Febbraio 2020 a Sabato, 30 Maggio 2020
Ore del corso: 40
Ore dei docenti responsabili: 40

Modalità d'esame

  • Prova orale

Prerequisiti

Il corso sarà rivolto agli allievi del IV Anno.

Prerequisiti necessari: Fisica Teorica 1

Programma

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

 

Obiettivi formativi:

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.    

 

Riferimenti bibliografici

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