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 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 6 | 25.10.2019 | ChPT Lagrangian (I) | |
| Lecture 7 |
01.11.2019 |
ChPT Lagrangian (II) | |
| Lecture 8 | 08.11.2019 | Loops in ChPT | |
| Lecture 9 | 15.11.2019 | Composite Models for EWSB | |
| 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 (excluding 4.6) |
| 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 |
see Introduction and Sections 5 & 6 (excluding in 6.4-6.5) in this review |
Problem sets
| Series | Topics | Discussed on | Solutions |
|---|---|---|---|
| Series 1 (PDF, 134 KB) | Matching, Renormalization, Operator reduction | Oct 11 | |
|
The scalar sector of the Standard Model |
Nov 1 | Solutions 2 (PDF, 272 KB) |
Suggested references
Part I (EFT):
- A. Manohar, Effective field theories, Lect. Notes Phys. 479 (1997) 311.
- D. Kaplan, Five lectures on effective field theory
Part II (Chiral Lagrangians)
- A. Pich, Effective Field Theory with Nambu–Goldstone Modes
- A. Pich, Chiral Perturbation Theory
- G. Colangelo and G. Isidori, An Introduction to ChPT
- A. Manohar, Effective Field Theories
- I. Stewart, MIT web course on Effective Field Theory
- R. Contino, The Higgs as a Composite Nambu-Goldstone Boson
Part III (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".