Spring 2020 Emergent Field Theories
This Spring's Delta ITP Course Advanced Topics in Theoretical Physics aimed at advanced Master’s students, PhD and postdoctoral researchers, is built around the general theme of Emergent Field Theories.
Lectures will take place on Monday's at 11:15-13:00, followed by a study/exercise session 13:45- end. The location of this semester's course rotates between the three institutes. The course will be divided into three 5-week modules; for each one there are four lectures (2hrs each) and four exercise sessions (4hrs each). At the end of the module there is an exam. All exams will be graded with a pass or fail. You need to pass all three exams to receive credit for the course.
Registration is now open. Please use the registration form only:
Module 1: Erik Verlinde (UvA)
The Role of Entanglement Entropy in Quantum Field Theory and Gravity
Lectures: Feb 3, 10, 17, 24. Room G2.02, UvA Science Park 904 Amsterdam
Exam: Mar 2. Room G2.02, UvA Science Park 904, Amsterdam
In these lectures I will review the insights that have been developed over the past decade or two about the role of entanglement entropy, and its various generalisations, in quantum field theory and gravity.
On the field theory side I will discuss the definition of entanglement entropy, Renyi entropy and its computation using the replica method, mutual information, entropy inequalities, relative entropy, the first (and 2nd) law of entanglement, and the quantum null energy condition.
Then on the gravity side I will, after a quick review black hole thermodynamics, discuss the Ryu-Takanayagi formula and its derivation using the gravitational replica method. I will also describe the generalisation for dynamical backgrounds, known as the HRT formula. I will not assume detailed knowledge about AdS/CFT, and will provide the necessary background information to be able to understand these notions by relating them to field theory.
The last part of the lectures will deal with the role of quantum entanglement in the black hole information paradox. Depending on the interest, I will finally the most recent development related to quantum extremal surfaces and entanglement wedge reconstruction.
Module 2: Koenraad Schalm (Leiden)
The AdS/CFT Correspondence and Applications
Lectures: Mar 9, 16, 23, 30
Exam: Apr 6
The anti-de Sitter/Conformal Field theory correspondence provides a unique novel perspective on critical phenomena at second order quantum phase transitions in systems with spatial dimensions d>1. The first half of these lectures will provide technical background to apply the so called "holographic" techniques of the correspondence. The second half discusses the application to quantum phase transitions in condensed matter: how spontaneous symmetry breaking in a quantum critical system is similar and different to the standard case, the notion of semi-local quantum liquids and their connection to non-Fermi liquids and strange metals.
These lectures will be based on selections from:
- J. Zaanen, Y.Liu, Y-W.Sun, K. Schalm, Holographic duality in condensed matter physics, Cambridge University Press.
Additional references are:
- J. Erdmenger, Introduction to gauge gravity duality, Chapters 1,2,4,5,6.
- S.A. Hartnoll, Lectures on holographic methods for condensed matter physics, Class. Quant. Grav. 26, 224002 (2009).
- N. Iqbal, H. Liu and M. Mezei, Lectures on holographic non-Fermi liquids and quantum phase transitions
Module 3: Hans Hansson (UU)
Topology in Field Theory
Lectures: Apr 20, May 11, 18, 25
Exam: June 8
NB No lectures on Apr 13 (Easter), Apr 27 (King's day), May 4 (Remembrance Day), Jun 1 (Pentecost)
NB More information on the lectures will follow in due time
Travel Cost Reimbursement
Students who do not have an OV-card from the Dutch government can have their travel costs reimbursed from Delta ITP. Please contact your local organizer (below) for details.
Dr. Lars Fritz, Institute for Theoretical Physics, Utrecht University , email: l.fritz [AT] uu.nl
Prof. Koenraad Schalm , Instituut-Lorentz for Theoretical Physics, Leiden University , email: kschalm [AT] lorentz.leidenuniv.nl
Dr. Wouter Waalewijn , Institute for Theoretical Physics, University of Amsterdam , email: w.j.waalewijn [AT] uva.nl