PHY573 Quantum Field Theory III

General Information

Lecturer:

Prof. Gino Isidori  ( Y36 J82 )

Dr. Javier Fuentes-Martín  ( Y36 J42 )

Dr. Matthias König  ( Y36 J42 )

Assistant:

Sokratis Trifinopoulos  ( Y36 J36 )

Lecture: Friday, 10:00 - 11:45, in ETH HIT F12
Exercises: Friday, 12:15 - 13:00, in ETH HIT F12
Module code: PHY573, 402-0845-60L
ECTS Credits: 6

 

Description

This course covers the basic concepts of effective field theories (EFTs) and quantum field theories beyond the Standard Model (SM). We will start by introducing the core concept of constructing EFTs and apply them to the SM Lagrangian.

In the next part of the course, we will discuss Chiral Perturbation Theory (ChPT), the low-energy effective theory of Quantum Chromodynamics (QCD). After this, the concept is applied to describe a class of theories beyond the SM, in which the SM Higgs arises as a composite state of a new confining sector.

For the remainder of the course, we will focus our attention to the concept of Supersymmetry (SUSY), starting from the discussion of the SUSY algebra and its representations, to arrive, after the presentation of the superspace formalism, to the construction of the supersymmetric version of gauge field theories

Main topics:

  • Introduction to Effective Field Theories
  • Decoupling and matching
  • Renormalization group resummation
  • The Standard Model Effective Field Theory (SMEFT)
  • Chiral Lagrangians
  • Composite Higgs models
  • The SUSY algebra
  • Superspace and superfields
  • Supersymmetric actions
  • Minimal Supersymmetric Standard Model (MSSM)

Lecture details

Lecture

Date

Topics covered

Lecture Notes

Lecture 1 20.09.2019

Basics of EFTs

Lecture 1 (PDF, 242 KB)

Lecture 2 27.09.2019 Matching & Method of regions Lecture 2 (PDF, 167 KB)
Lecture 3 04.10.2019 Renormalization & Resummation Lecture 3 (PDF, 173 KB)
Lecture 3b 04.10.2019 Background-field matching Lecture 3b (PDF, 149 KB)
Lecture 4 11.10.2019 SMEFT Lecture 4 (PDF, 304 KB)
Lecture 5 18.10.2019 Basics of ChPT

Lecture 5 (PDF, 512 KB)

Lecture 6 25.10.2019 ChPT Lagrangian (I)

Lecture 6 + 7 (PDF, 249 KB)

Lecture 7

01.11.2019

ChPT Lagrangian (II)

Lecture 6 + 7 (PDF, 249 KB)

Lecture 8 08.11.2019 Loops in ChPT

Lecture 8  (PDF, 221 KB)

Lecture 9 15.11.2019 Composite Models for EWSB

Lecture 9 (provisional) (PDF, 2450 KB)

Lecture 10 22.11.2019 SUSY algebra & representations see Chapters 2 & 3 in this review
Lecture 11 29.11.2019 Superspace & Superfields

see Chapter 4 in this review

Lecture 12 06.12.2019 Supersymmetric actions

see Sections 5.1 - 5.3 in this review

(excluding 5.1.1 & 5.3.1-5.3.3)

Lecture 13 13.12.2019 Soft SUSY breaking & MSSM  

 

Problem sets

Series Topics Discussed on Solutions
Series 1 (PDF, 134 KB) Matching, Renormalization, Operator reduction Oct 11

Solutions 1 (PDF, 293 KB)

Series 2 (PDF, 166 KB)

The scalar sector of the Standard Model

Nov 1 Solutions 2 (PDF, 272 KB)

 

Suggested references

 

Part I (EFT):

Part II (Chiral Lagrangians)

Part II (SUSY):

  • M. Bertolini, Lectures on Supersymmetry
  • S. Martin, A Supersymmetry Primer
  • J. Wess and J. Bagger, "Supersymmetry and supergravity".
  • Mueller-Kirsten & Wiedemann, "Introduction to supersymmetry".
  • S. Weinberg, "The quantum theory of fields. Vol. 3: Supersymmetry".