Program
Module 1: Effective Field Theory for Spontaneous Symmetry Breaking
Lecturer: Jasper van Wezel (Amsterdam)
Lectures and exercises: Sept 9, 16, 23, 30
Exam: October 7
Location: Science Park G2.02
Abstract: Effective field theory describes physics at low energies, after systematically taking into account the effect of highenergy dynamics on the lowenergy degrees of freedom. In systems with a spontaneously broken continuous symmetry, there is a natural separation between low and high energy scales, due to the universal presence and properties of NambuGoldstone modes. Effective field theory is therefore the natural language to describe NambuGoldstone modes and their interactions with other fields.
In this lecture series, we will begin by briefly reviewing some basic concepts of quantum field theory and group theory, and their application to spontaneous symmetry breaking. We then turn to the construction of the quantum effective action and low energy effective field theories. Deriving Goldstone's theorem and the suppressed interactions with longwavelength NambuGoldstone modes in this formalism will highlight its power, culminating in a thorough understanding of how the differences between typeA and typeB Goldstone modes arise, and what the origin of their gapped partner modes is.
Lecture 1: Elements of Quantum Field Theory, Group Theory, and Spontaneous Symmetry Breaking.
Lecture 2: The quantum effective action, lowenergy effective field theory, and revisiting Goldstone's theorem.
Lecture 3: The coset space construction.
Lecture 4: NambuGoldstone modes with and without Lorentz symmetry, Adler zeroes, and conjugate fields.
Recommended prior knowledge:
 [Necessary] Working knowledge of basic Quantum Field Theory.
 [Very useful] Familiarity with Spontaneous Symmetry Breaking in condensed matter theory.
 [Helpful] An understanding of the basics of Group Theory.
Module 2: A renormalization group perspective on the Fermi liquid
Lecturer: Lars Fritz (Utrecht)
Lectures and exercises: Oct 14, 21, 28, Nov 4
Exam: November11 (pass/fail)
Location: TBA
Abstract: In this part of the module, we will study properties of Fermi liquids which is the generally accepted theory for metals. In this process, we will resort to renormalization group ideas in the context of fermionic systems. The lecture and the exercises will heavily build on the seminal article by R. Shankar, https://arxiv.org/abs/condmat/9307009.
Module 3: Why do we think that the Standard Model of particle physics is incomplete?
Lecturer: Alexey Boiarskyi (Leiden)
Lectures and exercises: Nov 18, 25, Dec 2, 9
Exam: December 16 (pass/fail)
Location: TBA
Abstract: I briefly review the SM of particle physics, comment on its origin and history and discuss available experimental evidence that the SM is incomplete.
